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Every resource below was added to the map recently — each one evaluated by a human, never by an algorithm. The map keeps growing.
This week
Trades & Crafts
- bookPlumbing Code Essentials, 2024 EditionPaidExplains how to read and apply the IPC, which the bare code text (already in catalog) does not. A 225-page full-color companion to the 2024 International Plumbing Code that follows a project from design through installation. It cross-references the IRC plumbing provisions and includes a fuel gas piping chapter based on the IFGC, with simplified tables and a glossary.
- websiteRead IAPMO Codes Online (Uniform Plumbing Code, 2012–2027 editions)FreeIAPMO's official page linking to free online readers for each edition of the Uniform Plumbing Code (2027, 2024, 2021, 2018, 2015, 2012, plus 2021 Spanish). The UPC is the model code most western US jurisdictions adopt instead of the ICC's IPC.
- bookCharts Made Simple: Understanding Knitting Charts VisuallyPaidThe only book dedicated to chart reading, which is the hardest part of knitting pattern literacy; exercises make it a real course. 104-page workbook on reading knitting charts: how grids map to rows and rounds, recognising symbols by what they look like, no-stitch squares, lace and cable charts, and using a chart to find mistakes. Each chapter ends with exercises.
- websiteHow to Select Your Sewing Pattern SizeFreeExplains how to measure bust, waist and hip, read a pattern's body measurement chart against its finished garment measurements, calculate ease, account for negative ease in knits, and blend between sizes on a single pattern piece. Size selection is the most common pattern-reading error; this distinguishes body vs finished measurements and ease clearly, from a primary pattern maker.
- paperUnderstanding Cutting Layouts (Sewing Tutorial)FreeSix-page guide from the publisher of Simplicity, McCall's, Butterick and Vogue patterns on reading the guidesheet's cutting layouts: shading key, fabric folds, grainline placement, nap and matching plaids, layout labels, and a yardage conversion chart for other fabric widths. Directly covers the 'calculating fabric requirements' and 'following construction guides' parts of the topic, from the people who write the guidesheets.
- websiteHow to Read a Crochet PatternFreeExplains crochet pattern language with worked examples: stitch abbreviations, starting chains, whether turning chains count as stitches, repeat notation with asterisks and brackets, chain spaces, working in the round, front and back loops, and garment terms.
- websiteHow to Read a Knitting PatternFreeWalks through a sample knitting pattern line by line: cast-on counts, right-side and wrong-side rows, repeats marked with asterisks, parentheses and brackets, and garment phrases such as 'at the same time' and 'reversing shaping'. Covers the parsing problems that actually trip up new knitters (repeat notation, garment shaping phrases) on a standards-body site with no ads or upsell.
- websiteHVAC Exam Math: Airflow, Temperature Rise, and Capacity ConversionsFreeSeven worked HVAC calculation problems covering airflow from sensible heat, air temperature rise, hydronic heat with the 500 × GPM × ΔT formula, and tons, kW and Btu/h conversions. Each solution shows a unit check and the common wrong answers, preparing learners for licensing-exam arithmetic.
- bookWelding: Principles and Applications (9th Edition)PaidLarry Jeffus's standard welding textbook for US vocational programs, 960 pages. Its GMAW chapters cover equipment setup, transfer modes, shielding gases, filler metals and parameter selection, with graded practice exercises across joints and positions on steel and aluminum.
- websiteMetal Inert Gas (MIG) Welding: Process and Applications (TWI Job Knowledge)FreeThe Welding Institute's technical note on how GMAW behaves. Covers dip, spray and pulsed transfer, shielding gas choice for steels versus aluminium and other non-ferrous metals, the WFS-current link, typical voltage-current pairs for 1.2 mm wire, inductance, and synergic pulse. hat gives a learner a working model instead of a settings chart. It is short, free and engineering-grade. Its companion 'Equipment for MIG Welding' (job-knowledge/equipment-for-mig-welding-015) covers drive rolls, liners and push-pull for aluminium.
- websiteMIG Aluminum DIY: Selecting the Right Welder, Spool Gun and Filler WireFreeMiller Electric article on MIG welding aluminum in a small shop. Covers choosing a machine and spool gun for soft aluminum wire, picking between 4043 and 5356 filler for ease of use, strength or corrosion resistance, and matching feed capability to 5356's faster melt rate.
- websiteUnderstanding the Basics of MIG Welding for Mild SteelFreeMiller Electric's guide to MIG welding mild steel: preparing to bare metal, DCEP polarity, ER70S-3 versus ER70S-6 wire, C25 versus 100% CO2 gas, 3/8-inch stickout, push and pull angles, and technique changes for each welding position. This is the most complete free first-session walkthrough from a primary source, and it covers the setup variables named in the topic note: polarity, wire, gas, stickout, angles and positions. Its weakness is that voltage and WFS appear only in general terms.
- bookCastings (2nd Edition)PaidMetallurgical treatment of how liquid metal behaves during filling and solidification: oxide bifilms, surface turbulence, gas and shrinkage porosity, feeding, and gating design. It explains the physical causes of casting defects. The ceiling resource for anyone who moves past recipes and wants to know why castings fail. It is too advanced for beginners.
- youtubemyfordboyFreeMolding technique (ramming, parting, drawing patterns, gating) is far easier to learn by watching than by reading. Long-running home-foundry channel with hundreds of videos showing pattern making, green sand molding, core making, melting and pouring aluminum, and machining the finished castings. The work is filmed start to finish with very little commentary.
- bookMolder 3 & 2 (US Navy Rate Training Manual, NAVPERS 10584)FreeUS Navy training text for shipboard foundry molders, free on Internet Archive. Covers molding tools, fuel-fired furnaces and their safety precautions, patterns and allowances, foundry sands and sand testing, cores, metals and furnace charges, and finishing castings. The strongest free full-length foundry text available. It is systematic and professional-grade, and it covers every area in the topic.
- bookThe Complete Handbook of Sand CastingPaidFoundryman's reference for small-shop sand casting: molding sands and testing, tools and equipment, pattern construction, gating and risering, casting defects and their causes, nonferrous alloys and cast iron, plus appendices of fluxes and metal mixes. Goes deeper than Chastain on defect diagnosis and on gating and risering, and is the standard second book for hobbyists.
- bookThe Charcoal Foundry (Build Your Own Metal Working Shop from Scrap, Book 1)PaidCheapest, shortest route to a working first furnace and first pour. 80-page plan book for building a charcoal-fired melting furnace and crucible from cheap materials, with basic instruction in pattern making, molding sand, and pouring aluminum and zinc alloys. It is the first book in Gingery's shop-from-scrap series.
- bookMetal Casting: A Sand Casting Manual for the Small Foundry, Vol. 1PaidThe most complete modern, illustrated walk-through of the hobby sand-casting process from start to finish. Hobby-scale sand casting manual covering flasks, patterns, green sand preparation, ramming and venting molds, and melting equipment, including plans for a charcoal crucible furnace. Volume 2 continues with solidification, alloys, gating and risers.
- youtubeWood By Wright How ToFreeJames Wright's YouTube channel teaches hand-tool-only woodworking: plane setup and use, sawing, chisel work, sharpening, and restoring secondhand tools, plus full project builds. Weekly teaching videos, with no tool-company sponsorships.
- bookThe Complete Guide to SharpeningPaidLeonard Lee explains what sharpness is, the physics of cutting wood, edge metallurgy and abrasives. He then gives sharpening procedures for each tool type, including chisels, plane irons, saws, carving tools and knives, with measured comparisons of methods and equipment.
- bookThe Essential WoodworkerPaidThe Anarchist's Tool Chest covers which tools to own; this covers how to use them in a sequence that builds skills. Robert Wearing's illustrated course in hand-tool technique: layout, sawing, planing to size, and joint cutting, applied in order to a table, a carcase, drawers and boxes. More than 500 hand-drawn illustrations show each step of each operation.
- bookThe Anarchist's Tool Chest (Revised Edition)FreeChristopher Schwarz covers the roughly 50 hand tools needed to build most furniture: what each one does, how to judge new and secondhand examples, and how to build a traditional English tool chest to store them. The publisher offers a free PDF.
Programming & Tech
- bookThe Mental Game of Poker: Proven Strategies for Improving Tilt Control, Confidence, Motivation, Coping with Variance, and MorePaidA practical framework for diagnosing and correcting tilt, fear, confidence swings and motivation problems in competitive play. It treats emotional reactions as traceable performance flaws and uses an inchworm model of skill learning plus a structured mental hand-history process. Adds a step-by-step method to Mind Gym's general athlete mindset.
- paperIdentifying Stressors and Coping Strategies of Elite Esports CompetitorsFreeA qualitative interview study with seven elite esports players. It sorts their stressors into internal ones (communication breakdowns, unclear team goals) and external ones (event audiences, media duties), and maps the emotion-, problem-, approach- and avoidance-focused coping strategies they use.
- paperThe psychology of esports: Trends, challenges, and future directionsFreeMost current evidence map of the whole topic (stress, emotion, teams, health). A 2025 rapid review of five years of esports research from a sport and exercise psychology view. It synthesizes 125 empirical studies on emotion, cognitive-motor performance, team dynamics, training, mental health, sleep and nutrition, and sets out a research agenda.
- bookUnderstanding the Linux Virtual Memory ManagerFreeBook-length walkthrough of how a production kernel manages memory, based on Linux 2.4 with notes on 2.6. Covers physical memory zones, page tables, the buddy allocator, the slab allocator, non-contiguous allocation, page frame reclaim, and swap. Free under the Open Publication License. Caveat: it targets the 2.4/2.6 era, so specific code paths are outdated, but the architecture (zones, buddy, slab, reclaim) still matches Linux's design.
- paperDynamic Storage Allocation: A Survey and Critical ReviewFreeThe authoritative deep source for the 'allocation' part of the topic. Survey of memory allocator research from 1961 to 1995. Separates allocator policy from mechanism, analyzes fragmentation, and reviews sequential-fit, segregated-list, buddy and other designs, along with how allocators have been evaluated. Over 150 references.
- paperWhat Every Programmer Should Know About MemoryFreeA 114-page paper on the memory subsystem as software sees it: DRAM, CPU caches, virtual memory and page-table walk costs, TLBs and huge pages, NUMA, and how programs and kernels can improve memory access performance. Covers the hardware and performance costs of virtual memory (page walks, TLB misses, NUMA placement) that OS textbooks treat only briefly. Some hardware details date from 2007, but the principles still hold and nothing free covers the same ground as well.
- websiteGoodbye Microservices: From 100s of problem children to 1 superstarFreeThis is the concrete, documented case of their costs exceeding their benefits. Segment's 2018 engineering case study of moving from about 140 per-destination microservices back to a monolith in a monorepo. It describes drift in shared libraries, operational load, and the testing approach, then lists the trade-offs it accepted, including weaker fault isolation.
- bookSoftware Architecture: The Hard PartsPaidThe strongest treatment of the data side of microservices: how to split a shared database, assign data ownership, and choose saga styles. Trade-off analysis for distributed architectures. It covers service granularity, breaking apart operational data and databases, data ownership, distributed transactions and eventual consistency, orchestration versus choreography sagas, and contracts, all worked through a running case study.
- bookBuilding Microservices, 2nd EditionPaidThe single best end-to-end book on the topic, and it is candid about when not to use microservices. Sam Newman's book on designing fine-grained systems, rewritten for the 2021 edition. It covers modeling service boundaries, splitting a monolith, communication styles, workflow and sagas, deployment, testing, observability, security, resiliency, and how team structure shapes the architecture.
- websiteA Pattern Language for Microservices (microservices.io)FreeChris Richardson's free catalog of microservice patterns, grouped by concern: decomposition, database-per-service, saga, transactional outbox, CQRS, event sourcing, API gateway, service discovery, testing, deployment, and observability. Each pattern page states its forces, solution, and trade-offs.
- websiteAI Compare Ninja API Cost CalculatorFreeA free browser calculator that estimates monthly API spend for language models from request volume and input/output token counts, using OpenRouter's published prices. It shows how caching, reasoning tokens and extras like web search change the bill, and checks context-window limits.
- bookParsing Techniques: A Practical Guide (2nd Edition)PaidComprehensive reference on how grammars are turned into parsers. Covers general CF parsing (CYK, Earley, GLR), deterministic top-down LL and bottom-up LR methods, regular-grammar parsing, error recovery, and non-Chomsky grammar formalisms. Requires no advanced mathematics.
- websiteModels of Computation lecture notes (Strings, Regular Languages, Automata, NFAs, Context-Free Languages)FreeFree lecture notes from the University of Illinois, about 95 pages across five PDFs. They cover strings and induction, regular expressions, DFAs, NFAs and their equivalence, and context-free grammars. This is the strongest free written text for the formal-languages part of the topic. It is unusually careful with induction on strings, which is where self-learners usually get stuck, and it has plenty of exercises.
- websiteOMA LwM2M - Brief Description (Anjay documentation)FreeTechnical primer on the OMA Lightweight M2M device-management protocol. Covers clients, bootstrap and management servers, the Object/Instance/Resource data model, observe attributes, the bootstrap, registration, management and reporting interfaces, and queue mode, for LwM2M 1.0 and 1.1.
- paperNIST IR 8259A: IoT Device Cybersecurity Capability Core BaselineFreeNIST baseline of six technical capabilities an IoT device should support so organizations can manage it securely: device identification, device configuration, data protection, logical access to interfaces, software update, and cybersecurity state awareness. Companion to NISTIR 8259.
- websiteMonitoring Fleet Health with Heartbeat MetricsFreePractitioner guide to observing deployed device fleets. Compares logs, tracing, crash reporting and periodic heartbeat metrics; defines counters, timers and gauges; shows a FreeRTOS heartbeat library; and proposes go/no-go release metrics such as crash-free hours and battery trends. The post is mostly concept-driven and its example code is open source.
- websiteDevice Firmware Update CookbookFreeHands-on walkthrough of a brick-resistant firmware update design for microcontrollers. Covers a bootloader/loader/application/updater split, image headers with CRC and versioning, writing and committing images, shared RAM between stages, and boot-loop fallback, with runnable STM32 code in Renode.
- paperRFC 9019: A Firmware Update Architecture for Internet of ThingsFreeThis is the primary, vendor-neutral definition of how secure OTA should work: terminology, trust model and manifest-based integrity. IETF SUIT working group architecture for securely delivering firmware updates to constrained IoT devices. Defines stakeholders, update functions, bootloader roles, multi-MCU device types, signed manifests, and the security requirements for an end-to-end over-the-air update pipeline.
Mathematics
- bookPrime Numbers: A Computational Perspective (2nd Edition)PaidA graduate-level reference (Springer, 2005) on computing with primes. It covers prime distribution, primality proving including AKS, factoring algorithms such as the quadratic and number field sieves, elliptic-curve methods, and fast arithmetic, with over 100 algorithms in pseudocode.
- paperThe distribution of prime numbersFreeShort, rigorous, free survey of prime distribution. Expository lecture notes of about 20 pages from a NATO summer school in Montreal. They cover the prime number theorem, Cramér's probabilistic model and where it breaks down, primes in short intervals, and how primes are distributed in arithmetic progressions.
- paperA Tale of Two SievesFreeCovers the topic's factorization/encryption angle with real mathematics an undergraduate can follow. An expository Notices of the AMS article (1996) on factoring large integers. It explains how the quadratic sieve and the number field sieve work and how they were developed, the factoring problem that RSA-style encryption depends on. Winner of the 2001 Conant Prize.
- youtubeWhy do prime numbers make these spirals? | Dirichlet's theorem and pi approximationsFreeBeginner entry point that reaches a real theorem on prime distribution, not trivia. A 22-minute visual explanation of why primes plotted in polar coordinates form spirals and rays. It moves from rational approximations of 2π to residue classes, Euler's totient function, and Dirichlet's theorem on primes in arithmetic progressions.
- website18.04 Topic 9: Definite Integrals Using the Residue Theorem (MIT OCW lecture notes)FreeMIT 18.04 lecture notes on using the residue theorem to evaluate real definite integrals. They cover rational and trigonometric integrals, Fourier-type integrals with Jordan's lemma, semicircular and keyhole contours, and principal values, each with worked examples.
- website18.04 Topic 3: Line Integrals and Cauchy's Theorem (MIT OCW lecture notes)FreeEleven-page lecture notes from MIT's undergraduate complex variables course. They define complex line integrals, cover path independence and antiderivatives, prove Cauchy's theorem using Green's theorem, and work through examples of closed contours that do or do not enclose singularities.
- websiteFraction Calculator with Step-by-Step ExplanationsFreeA free calculator that adds, subtracts, multiplies and divides fractions and mixed numbers, showing each step: finding the common denominator, rescaling and simplifying. Worked examples and a common-mistakes list help learners check homework and understand the method rather than just the answer.
- websiteLarge Countable Ordinals (Part 1)FreeUnique free resource for going beyond textbook ordinal arithmetic into ordinal notations (epsilon-nought, Veblen functions) relevant to proof theory. First of John Baez's three-part Azimuth blog series on countable ordinals. Covers omega, ordinal addition, multiplication and exponentiation, Cantor normal form and epsilon-nought; Parts 2–3 continue through the Veblen hierarchy to the Feferman–Schütte and Veblen ordinals.
- bookNaive Set TheoryPaidPaul Halmos's short classic on informal axiomatic set theory. Chapters 17–21 cover well ordering, transfinite recursion, ordinal numbers, sets of ordinals, and ordinal arithmetic in a few pages each, before moving to cardinals.
- paperMiscalculating Area and Angles of a Needle-like TriangleFreeA concrete, memorable example of an algorithm that is unstable while the problem is well-conditioned, and of how reordering operations restores accuracy, all from the field's founding authority. Case study from Kahan's numerical analysis lecture notes. Heron's formula for triangle area loses accuracy on needle-like triangles through cancellation, while a rearranged formula stays accurate. Also discusses how extra-precise arithmetic and language design affect the result.
- paperBackwards Stability of Recursive Summation (MIT 18.335 notes)FreeTextbooks state backward stability; this shows the full mechanics of one proof, which is the skill learners most often lack. Course notes that prove step by step that summing floating-point numbers in order is backward stable. They construct the perturbed input explicitly and bound its relative error in terms of machine epsilon. A worked template for writing stability proofs.
- bookNumerical Computing with IEEE Floating Point Arithmetic (Second Edition)PaidShort textbook on IEEE floating-point representation, rounding, exceptions and correctly rounded operations, followed by chapters on problem conditioning and algorithm stability. The 2025 second edition adds chapters on higher-precision and lower-precision computation.
- paperWhat Every Computer Scientist Should Know About Floating-Point ArithmeticFreeSurvey paper from ACM Computing Surveys (1991) on IEEE 754 floating point: rounding error, ulps and relative error, guard digits, catastrophic cancellation, exactly rounded operations, and how language and compiler choices affect the accuracy of numerical code.
- paperMorse Theory IndomitableFreeGives the map of where Morse theory leads, from a central figure in the subject. Bott's 1988 survey of how Morse theory developed: Morse's calculus of variations, Morse–Bott functions, Bott periodicity, equivariant Morse theory, the Atiyah–Bott work on Yang–Mills, and Witten's supersymmetric approach. Published in Publications Mathématiques de l'IHÉS 68, pp. 99–114.
- paperLecture Notes on Morse Homology (with an Eye Towards Floer Theory and Pseudoholomorphic Curves)FreeInformal notes from a 2002 UC Berkeley topics course. They construct the Morse complex from gradient flow lines and prove d²=0 and invariance through compactness and gluing of moduli spaces. They also cover orientations and the link to Floer theory. Hutchings' 2005 seminar page notes that the notes contain some mistakes.
- bookMorse Theory and Floer HomologyPaidGraduate textbook translated from French. Chapters 1–4 build finite-dimensional Morse theory and Morse homology from pseudo-gradient fields and moduli spaces of trajectories. The rest constructs Hamiltonian Floer homology and proves the Arnold conjecture. Includes exercises.
- bookLectures on the h-Cobordism TheoremFreePrinceton seminar notes from 1963 that prove Smale's h-cobordism theorem with Morse functions. Covers rearranging and cancelling critical points, Whitney's trick, and the generalized Poincaré conjecture in dimensions five and up. About 116 pages.
- bookAn Introduction to Morse TheoryPaidThe gentlest rigorous entry point, written for readers not yet ready for Milnor's or Nicolaescu's pace. Introductory text, translated from Japanese, covering Morse functions on surfaces and manifolds, the Morse lemma, handlebody decompositions, gradient vector fields and basic homology. Uses many low-dimensional examples. Needs only multivariable calculus and basic manifold theory.
- bookModule Theory: An Approach to Linear Algebra (Electronic Edition)FreeFree CC BY 4.0 edition of T. S. Blyth's textbook, revised from the 1990 Oxford second edition. It builds modules from the basics through exact sequences, tensor products, free and projective modules, and modules over a PID, then canonical forms.
- bookAn Invitation to Morse Theory (2nd ed.)FreeGraduate text in three parts: foundations of real Morse theory (local structure, handle attachment, Morse inequalities, the Morse–Floer complex), applications such as moment maps and equivariant localization, and complex Picard–Lefschetz theory. Includes exercises with solutions.
- youtubeThe Catsters: Natural Transformations 1-3AFreeFour short blackboard lectures (Natural transformations 1, 2, 3, 3A) by Eugenia Cheng of the Sheffield Catsters covering the definition, examples, functor categories and vertical/horizontal composition of natural transformations.
- websiteWhat is a Natural Transformation? Definition and Examples (Parts 1 and 2)FreeTwo illustrated blog posts (February 2017) defining natural transformations via commuting squares, with examples: cones, natural isomorphisms, equivariant maps of group actions, the vector space double dual, and representable functors. Part 2 is linked from Part 1. Best free gentle-but-correct written introduction dedicated specifically to this concept; precise definitions plus concrete math examples, not a summary-of-summaries.
- youtubeIntroduction to Modules (Algebra 2) – UC Irvine Graduate Algebra LecturesFreeA 20-video lecture playlist from Nathan Kaplan's UC Irvine graduate algebra course (Math 206B/230B). It covers module definitions, submodules, homomorphisms, quotient modules, direct sums, free modules, and exact sequences in short 10–15 minute segments.
- paperModules over a PIDFreeKeith Conrad's expository proof of the structure theorem for finitely generated modules over a principal ideal domain. It covers submodules of free modules, the invariant factor and elementary divisor forms, and applications to finite abelian groups and linear operators.
- bookMarkov ChainsPaidRigorous yet compact treatment of discrete- and continuous-time Markov chains: hitting times, recurrence, invariant distributions, ergodic theorem, queues, Poisson processes, and applications to Markov chain Monte Carlo. Standard text for Cambridge's undergraduate course.
- courseMarkov Chains (Cambridge Part IB Course Notes)FreeCourse page for a 12-lecture Cambridge second-year course: full lecture notes, two example sheets, and a lecture blog. It covers hitting probabilities, the strong Markov property, recurrence and transience, invariant distributions, convergence to equilibrium, and time reversal.
- youtubeLecture 31: Markov Chains (Statistics 110)FreeHarvard Stat 110 lecture that defines the Markov property, transition matrices, and n-step probabilities via matrix powers, then introduces stationary distributions. Lectures 32 and 33 continue with irreducibility, recurrence, reversibility, and random walks on graphs.
- websiteMarkov Chains Explained VisuallyFreeInteractive explainer that animates states hopping between nodes, then builds the transition matrix from those diagrams. Readers can edit the matrix and watch how a chain's long-run behavior changes. It works as a short, intuition-first first exposure before formal treatment.
- course18.125 Measure and Integration (Fall 2003) — Lecture NotesFreeLecture notes from MIT's graduate measure and integration course. Lectures 6–9 construct Lebesgue measure on R^n via outer measure and the Carathéodory criterion; later lectures cover real-valued measurable functions, operations on them, and their limits before building the integral.
- bookAlgorithmics of Matching Under PreferencesPaidResearch monograph on algorithms and complexity for matching problems where agents have preferences. It covers stable marriage, hospitals/residents, stable roommates, ties and incomplete lists, Pareto optimal and popular matchings, and house allocation.
- paperStable Allocations and the Practice of Market Design (Scientific Background, Nobel Prize in Economic Sciences 2012)FreeThe Royal Swedish Academy's 44-page technical survey written for the 2012 economics prize to Shapley and Roth. It covers stable matching theory, deferred acceptance, strategy-proofness, the lattice of stable matchings, and real uses in medical residency matching, school choice, and kidney exchange.
- paperCollege Admissions and the Stability of MarriageFreePrimary source for the stable-marriage part of the topic, readable without prerequisites. The 1962 American Mathematical Monthly paper that defined stable matchings and introduced the deferred-acceptance algorithm. In seven readable pages it proves that every stable marriage instance has a stable matching and extends the result to college admissions.
- paperLecture Notes on Non-Bipartite Matching (MIT 18.433 Combinatorial Optimization)FreeCompanion MIT notes on maximum matchings in general graphs. They cover Berge's augmenting path theorem, the Tutte–Berge formula, Gallai–Edmonds structure, and Edmonds' blossom algorithm for finding maximum matchings when the graph is not bipartite.
- paperLecture Notes on Bipartite Matching (MIT 18.433 Combinatorial Optimization)FreeBest free rigorous single source for the bipartite half of the topic: Hall, assignment, Hungarian algorithm, with proofs and the LP/polyhedral view. Thirteen pages of MIT lecture notes on matchings in bipartite graphs. They cover augmenting paths, König's theorem, Hall's theorem, the assignment problem, its linear programming formulation, the primal-dual Hungarian algorithm, and the bipartite perfect matching polytope.
- bookPerturbation Theory for Linear OperatorsPaidKato's reference monograph on linear operators in finite-dimensional, Banach and Hilbert spaces. Covers closed and closable operators, adjoints, resolvents, analytic and asymptotic perturbation of eigenvalues, sectorial forms, semigroups and scattering theory. Capstone reference; the only one treating closed operators in Banach spaces and eigenvalue perturbation this exhaustively.
- youtubeLectures on Quantum Theory (Frederic Schuller)FreeRecorded lecture course at FAU Erlangen-Nürnberg that builds the operator theory behind quantum mechanics from definitions: Banach and separable Hilbert spaces, closable and adjoint operators, self-adjoint and essentially self-adjoint operators, spectra, perturbation theory and the spectral theorem.
- bookGraph Colouring and the Probabilistic MethodPaidThe definitive graduate/research text on modern colouring results via probability. Research monograph developing probabilistic tools, including the Lovász Local Lemma, Talagrand's inequality and the semi-random method, and applying them to colouring results such as Kahn's list edge colouring work, Johansson's theorem for triangle-free graphs, and total colouring bounds.
- bookGuide to Graph Colouring: Algorithms and Applications (2nd edition)PaidAlgorithmic treatment of graph colouring covering greedy, DSatur, RLF, backtracking, tabu search and other metaheuristics, with comparisons on benchmark graphs and applications to timetabling, sports scheduling and seating plans. Supported by downloadable C++ source code.
- videoLecture 6: Graph Theory and Coloring (MIT 6.042J Mathematics for Computer Science)FreeTom Leighton's MIT lecture introducing graphs and vertex coloring through scheduling problems such as exam timetabling, covering chromatic number, simple coloring bounds, and the greedy coloring argument, with free course notes and problem sets alongside.
- bookFoundations of Signal ProcessingFreeCambridge University Press textbook by Vetterli, Kovačević, and Goyal, free as a PDF on the authors' site. Chapter 2, 'From Euclid to Hilbert', treats vector and Hilbert spaces, projections, bases, and frames, which later chapters use for Fourier analysis, sampling, and approximation. Covers the signal-processing side of the topic note, teaching Hilbert space geometry (projections, orthonormal bases, frames) as the working language of signals, with many worked examples.
- bookMathematical Methods in Quantum Mechanics: With Applications to Schrödinger Operators (2nd ed.)FreeGerald Teschl's AMS graduate text, free as a PDF on his University of Vienna page. It develops Hilbert spaces, self-adjoint and unbounded operators, the spectral theorem, and Stone's theorem, then applies them to Schrödinger operators, the hydrogen atom, and scattering theory. Covers the quantum-mechanics side of the topic note with full proofs of the unbounded spectral theorem, where Kreyszig and Young stop.
- bookIntroductory Functional Analysis with ApplicationsPaidErwin Kreyszig's functional analysis textbook, written to need only linear algebra and basic analysis rather than measure theory. It covers inner product and Hilbert spaces, orthonormal sets, adjoint and self-adjoint operators, spectral theory, and applications of unbounded operators to quantum mechanics.
- paperA Tutorial on KAM TheoryFreeExpository survey based on lectures at the 1999 AMS Summer Research Institute on Smooth Ergodic Theory. It gives the background for KAM theory and compares the main proof methods informally, as a guided entry into the research literature on persistence of invariant tori.
- bookIntroduction to Hamiltonian Dynamical Systems and the N-Body Problem (3rd Edition)PaidGraduate mathematics text that treats Hamiltonian systems from the dynamical-systems viewpoint, with the N-body problem as the running example. It covers linear Hamiltonian systems, the symplectic group, the Maslov index, reduction, periodic orbits by continuation, normal forms, fixed-point theorems and KAM theory.
- bookStructure and Interpretation of Classical Mechanics (2nd Edition)PaidThe only resource that makes Hamiltonian theory computable: phase portraits, Poincaré sections and perturbation theory are things the reader runs. MIT textbook that expresses mechanics as executable Scheme programs. It covers Hamiltonian mechanics, phase-space structure, surfaces of section, canonical transformations, canonical evolution and canonical perturbation theory, with numerical experiments on chaotic and near-integrable systems.
- youtubeTensor Calculus 15: Geodesics and Christoffel Symbols (extrinsic geometry)FreeThe most approachable correct entry point: builds intuition from surfaces embedded in 3D before going intrinsic. A 21-minute visual derivation of the geodesic equation for a surface sitting in 3D space, explaining where Christoffel symbols come from. The next video in the playlist (part 16) works through geodesics on the plane and the sphere.
- videoMIT 8.962 General Relativity, Lecture 9: GeodesicsFreeA full graduate lecture from MIT's Spring 2020 general relativity course. It covers free fall as geodesic motion, curves that parallel transport their own tangent and extremize proper time, and quantities conserved along geodesics through spacetime symmetries.
- paperLecture Notes on General Relativity, Chapter 3: CurvatureFreeThe curvature chapter of Sean Carroll's graduate lecture notes. It covers parallel transport, derives the geodesic equation from both parallel transport and proper-time extremization, and treats affine parameters, the exponential map and geodesic deviation.
- websiteThe First Isomorphism Theorem, IntuitivelyFreeShort blog post explaining why G/ker φ is isomorphic to the image of φ. It groups domain elements into cosets according to where they land, then ties that picture to the commutative-diagram statement of the theorem. The theorem students most often get stuck on; the post gives the standard intuition in a few minutes, as a companion to the Judson chapter.
- courseVisual Algebra, Chapter 4: Maps Between Groups (Lectures 4.1–4.11)FreeThe clearest visual account of what a homomorphism does: every homomorphism as 'quotient by the kernel, then relabel', with a dedicated chapter on the isomorphism theorems. Eleven recorded lectures (about 6.5 hours) with slides, explaining homomorphisms through Cayley diagrams: embeddings and quotients, the fundamental homomorphism theorem, the correspondence and diamond theorems, subquotients and automorphisms. Lectures 8.4–8.5 cover ring homomorphisms.
- bookAbstract Algebra: Theory and Applications, Chapter 11: HomomorphismsFreeFree open-textbook chapter defining group homomorphisms, kernels and images, then proving the First, Second and Correspondence isomorphism theorems. Includes reading questions, exercises, and additional exercises on automorphisms.
- youtubeChapter 2: Orbit-Stabiliser Theorem | Essence of Group TheoryFreeA roughly 12-minute animated explainer that derives the orbit-stabiliser theorem by counting the symmetries of a regular octagon, defines orbits and stabilisers intuitively, and gives a general proof for finite groups linked to Lagrange's theorem.
- youtubeVisual Group Theory, Lecture 5.1: Groups acting on setsFreeA 32-minute lecture that defines group actions through action graphs and fixed-point tables, using the symmetries of the square as a running example. It opens a seven-part unit covering orbit-stabilizer, fixed points, Cauchy's theorem, p-groups and Sylow, with free slides. University-level lecture specifically on group actions, visual and concrete: the best free video bridge before Conrad's notes.
- bookAbstract Algebra: Theory and Applications, Chapter 14: Group ActionsFreeThe gentlest rigorous entry point; its Burnside section is built on concrete counting problems, fitting the topic's combinatorics goal. Free open-textbook chapter covering groups acting on sets, the class equation, and Burnside's Counting Theorem. Worked examples include colorings of a square and switching functions, followed by reading questions, exercises and a programming exercise.
- paperGroup Actions (expository notes)FreeThe most thorough free text devoted entirely to group actions: Keith Conrad's long expository paper on group actions. It covers definitions, faithful and free actions, orbits and stabilizers, the orbit-stabilizer theorem, Burnside's lemma, p-group congruences, and new proofs of Cauchy's theorem, closing with applications to spacetime symmetry.
Humanities
- paperThe Culture Industry: Enlightenment as Mass DeceptionFreeFree online text of most of the chapter from Dialectic of Enlightenment (1944) in which Adorno and Horkheimer argue that film, radio and popular music are produced industrially, standardize taste, and secure conformity: the classic pessimistic position later cultural studies argues against.
- bookMythologies: The Complete EditionPaidRoland Barthes' 1957 collection of short essays reading everyday French mass culture as myth: wrestling, soap powders, steak and chips, the new Citroën, toys. The closing essay, 'Myth Today', sets out a semiological method for decoding ideology in ordinary objects.
- bookCultural Theory and Popular Culture: An Introduction (10th edition)PaidCanonical map of the field and natural starting point: standard university textbook surveying the major theoretical approaches to popular culture: culture-and-civilisation tradition, culturalism, Marxisms and the Frankfurt School, psychoanalysis, structuralism, Gramscian hegemony, feminisms, race, postmodernism and fandom. The 2024 edition adds a chapter on culture and nature.
- websiteIdentity Politics (Stanford Encyclopedia of Philosophy)FreePeer-reviewed encyclopedia entry by Cressida Heyes, substantively revised November 2024. It traces the history and scope of identity politics, the philosophical debates over identity and essentialism, and current critiques and defenses, with an extensive bibliography.
- bookQuestions of Cultural IdentityPaidEdited collection opening with Stuart Hall's essay 'Who Needs Identity?', which treats identity as a process of identification constructed through difference. Hall's Representation covers the 'representation' half; this covers the 'identity' half: the case that identities are constructed and positional rather than fixed essences. Contributors including Bauman, Bhabha, Gilroy, Grossberg and Frith examine national, ethnic, gendered and consumer identities.
- websiteRepresentation & the Media: Stuart Hall Lecture (Full Transcript)FreeThe free, legitimate way into Hall's argument, shorter and easier than the textbook. Official transcript of Stuart Hall's 1997 University of Westminster lecture, introduced by Sut Jhally. Hall argues that meaning is produced through representation rather than reflected by it, and works through media stereotyping, the fixing of meaning and contested images.
- bookRepresentation: Cultural Representations and Signifying Practices (3rd Edition)PaidOpen University textbook edited by Stuart Hall that sets out semiotic and discursive theories of representation, then applies them to museums, racial stereotyping ('The Spectacle of the Other'), masculinity in advertising, and, in this edition, digital self-representation.
Finance & Economics
- websiteATTOM U.S. Home Flipping ReportsFreeFree quarterly and year-end reports built from public deed records. They track U.S. flipping volume and rate, typical gross profit and ROI, holding time, results by price band, and FHA buyer share, broken out by state and about 186 metro areas.
- bookThe Book on Estimating Rehab Costs (2nd Edition)PaidA guide to scoping and pricing a renovation: how to walk a property, write a line-item scope of work, and estimate costs for about 25 repair categories, from roofing and HVAC to kitchens, so a flip budget is built from components.
Business & Entrepreneurship
- podcastWhen and How Entrepreneurs PivotFreeA Wharton podcast interview, about 31 minutes, on a multi-year field study of seven cleantech startups. Of 93 decisions that could have changed strategy, 72 changed nothing. Pivots built up gradually through small adds and exits, and were more often triggered by opportunities than problems. Empirical counterweight to practitioner frames: pivots are incremental decisions labeled in hindsight.
- youtubeAll About Pivoting (Startup School)FreeA Y Combinator Startup School lecture of about 28 minutes on deciding when to pivot: opportunity cost, good and bad reasons to pivot, why founders wait too long, and finding a better idea, with Brex, Retool and Segment as cases. Practitioner companion to Ries: concrete pivot-vs-persevere criteria, warns against flailing.
- podcastJenny Hoyos: How She Averages 10 Million Views per Video (Creator Science #167)FreeA 41-minute 2023 interview with short-form creator Jenny Hoyos, with full transcript, covering first-frame hooks, foreshadowing, 'but therefore' story structure, cutting for retention and rewatches, idea selection, and how Shorts, TikTok and Reels reward different lengths. Fills the storytelling/attention-craft gap the existing book, music tool and algorithm explainer leave.
- websiteCreative CodesFreeTikTok for Business's six principles for creative that feels native to the platform: TikTok-first content, using trends, production basics such as 9:16 framing and safe zones, hook-body-close structure, pacing, and sound design. A PDF version is available.
- courseTikTok Creator AcademyFreeTikTok's official learning hub for creators, which replaced the earlier Creator Portal in 2024. It offers video courses and articles on content skills, creation and editing tools, account health, community guidelines, analytics and monetization features. Free primary source on how TikTok's own tools, policies and analytics work; complements the catalog's For You algorithm explainer with a creator-side curriculum.
- websiteLink in Bio (newsletter)FreeA weekly newsletter for brand social media practitioners by former Bon Appétit social lead Rachel Karten. It explains why brand social strategies work or fail and interviews the social teams behind accounts such as Duolingo and The Washington Post. The most respected free source on current brand social strategy from working practitioners, explaining the reasoning behind tactics; in-house case-study interviews have no textbook equivalent.
- bookSocial Media Strategy: A Practical Guide to Social Media Marketing and Customer Engagement (3rd ed.)PaidA step-by-step planning framework for social media: linking social to the customer journey, setting goals and KPIs, audience profiling through social listening, organic and paid channel selection, communities, influencers, crisis management, measurement and benchmarking. The clearest framework-first strategy book found, organised as a planning sequence (objectives > audience > presence > channels > measurement) rather than tips. 3rd edition (Oct 2026) covers Reddit as discovery and AI search.
- websiteRecommendations on Instagram: What Creators Need to KnowFreeInstagram's official creator guide to recommendation eligibility: what keeps content out of Explore, Reels and suggested posts, how to check and appeal through Account Status, and format guidance such as vertical Reels, strong openings, no watermarks and caption keywords. Covers the practical growth layer the ranking explainer skips: why an account loses non-follower reach and how to diagnose it in Account Status.
- websiteInstagram Ranking ExplainedFreeAdam Mosseri, head of Instagram, explains that there is no single Instagram algorithm: Feed, Stories, Explore and Reels each run their own ranking system. The post sets out the signals and predicted actions each weighs, and the user controls that change them.
- paperA Group Is Its Own Worst EnemyFreeClay Shirky's 2003 keynote essay on why online groups repeatedly undermine themselves: flame wars, newcomer floods, the core group that tends a community, and why member identity, barriers to participation and governance must be designed in from the start. Free, widely cited foundational text explaining why moderation and governance exist at all.
- bookBuilding Successful Online Communities: Evidence-Based Social DesignPaidTurns social-science research into concrete design claims for online communities: attracting newcomers, encouraging contributions, building commitment, regulating bad behavior through norms and moderation, and starting a new community, citing theory, experiments or field studies for each claim. The only evidence-based treatment of the field; every recommendation is tied to research, filling the structural gap next to the practitioner-led entries (FeverBee, CLG, Webber).
- podcastPayments on FireFreeLong-running podcast from payments consultancy Glenbrook Partners, with over 300 episodes. Hosts and industry guests discuss card acceptance, authorization rates, subscription payments, network rules, agentic commerce, regulation and the business of payment companies.
- websiteVisa Interchange Reimbursement Fees and Merchant RulesFreeVisa's published page on US interchange reimbursement fees, with the official fee tables (PDF) by card type and transaction category, plus merchant surcharging requirements, sample disclosure signage, and a link to the Visa Rules. Lets a learner check real interchange rates, including card-not-present categories that apply to online sales, instead of relying on secondhand estimates.
- websitePCI SSC Merchant ResourcesFreeOfficial PCI Security Standards Council guidance for merchants accepting cards. Includes the Guide to Safe Payments, common payment system diagrams, questions to ask vendors, and FAQs on who must comply, self-assessment questionnaires, and how encryption affects PCI DSS scope.
- websiteHow credit cards make moneyFreeEssay on the revenue model of credit cards: net interest, interchange, fees and network marketing contributions. Explains what interchange is, why merchants pay it, how it is split among issuer, processor, acquirer and network, and how regulation changes it.
- bookPayments Systems in the U.S.: A Guide for the Payments Professional (3rd Edition)PaidStructural anchor for the topic: explains what a gateway actually connects to (acquirer, network, issuer) and who earns what. Reference text covering how US payment systems operate: card networks, the four-party model, issuers, acquirers, processors, authorization, clearing and settlement, ACH, wires and checks. Explains each system's economics and rules, and the third edition adds a chapter on payments innovation and a glossary.
Social Sciences
- websiteGitLab Handbook: CommunicationFreeGitLab's public internal-communication policy for a fully remote company of thousands. It covers choosing a channel, asynchronous and written-first norms, meetings, presentations, email and Slack conventions, document types, sensitive topics, and external communication. This is the operating-manual side of the topic (managing internal relations and coordinating tasks), written by an organization with real stakes in the rules.
- paperA Typology of Organisational CulturesFreeRon Westrum's 2004 paper classifying organizations as pathological, bureaucratic, or generative by how information flows through them. It argues that information flow both shapes and reveals culture, and links it to error reporting and safety performance.
- bookOrganizational Change: Creating Change Through Strategic Communication (2nd ed.)PaidCommunication-centered treatment of planned organizational change by a Rutgers organizational communication scholar. Covers how change is announced and framed, how stakeholders form and voice their views, resistance, implementation strategies, and the research evidence on each.
- bookSensemaking in OrganizationsPaidKarl Weick's account of how members of organizations construct meaning from ambiguous events through talk, action, and retrospective interpretation. Sets out seven properties of sensemaking and the occasions, such as ambiguity and interruption, that trigger it.
- websiteOrganizational Communication (Open Textbook, Oklahoma State University)FreeFree CC BY-NC-SA textbook for OSU's SPCH 4763 course. Covers the history and research approaches of the field, classical through modern organizational theories, formal and informal networks, leadership, identity, teams, and member recruitment, socialization, and exit. The only free, complete, field-structured survey: it follows the discipline's standard arc (classical, human relations, human resources, modern/constitutive theories, networks, assimilation).
- websiteReactionMetric Reaction Time TestFreeFree browser-based reaction time test that runs five trials and reports median, best, worst and consistency, with notes on how device and browser timing skew scores. A hands-on demonstration of mental chronometry, not a clinical instrument.
- courseMIT 9.00SC Introduction to Psychology: Memory I (Lecture 10)FreeAn MIT OpenCourseWare session with a full lecture video, slides, and readings on short-term versus long-term memory, proactive and retroactive interference, flashbulb and repressed memories, and an exceptional mnemonist. It links to a follow-up session on amnesia and memory systems.
- bookMemory: From Mind to Molecules (2nd ed.)PaidThe structural anchor: the standard text connecting cognitive memory systems to cellular mechanisms, by the two scientists who defined the field. Covers memory at every level of the brain. It runs from the synaptic and molecular mechanisms of short- and long-term storage to the hippocampus, declarative and nondeclarative memory systems, consolidation, and evidence from amnesic patients such as H.M.
Sciences
- websitePeer review and publishing at eLife (Reviewed Preprint model)FreeeLife's own description of its publish-review-curate model: every reviewed paper is published as a Reviewed Preprint with public reviews, author response and an eLife Assessment rating significance and strength of evidence, replacing accept/reject decisions. Shows concretely how peer review can be restructured; gives learners a working alternative to the traditional model.
- courseWeb of Science Academy: Peer Review CoursesFreeFree self-paced courses from Clarivate (formerly Publons Academy): an introduction to peer review, reviewing in the sciences or humanities with a report template, co-reviewing with a mentor, and mentoring reviewers. Requires a free login; certificates on completion.
- paperEditorial peer review for improving the quality of reports of biomedical studies (Cochrane Review)FreeCochrane methodology review by Jefferson, Rudin, Brodney Folse and Davidoff (2007) pooling the experimental studies on editorial peer review. Concludes there is little empirical evidence that it improves the quality of published biomedical research and calls for proper trials. Primary evidence synthesis that Smith and later critics rely on; for learners who want the data rather than commentary.
- paperPeer review: a flawed process at the heart of science and journalsFreeThe canonical critical essay; gives learners the evidence base for what peer review does and does not do. Former BMJ editor Richard Smith reviews the evidence on journal peer review: poor inter-reviewer agreement, bias, cost, slowness, weak fraud detection, and BMJ's own trials of blinding, open review and reviewer training. Short, heavily cited essay (JRSM 2006).
- websiteCOPE Ethical Guidelines for Peer ReviewersFreeFormal policy from the Committee on Publication Ethics setting out what reviewers owe authors and editors: declaring conflicts and limits of expertise, confidentiality, timeliness, objective and constructive comments, and how to handle suspected misconduct in a manuscript.
- bookQuantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles (2nd Edition)PaidFor learners who finish Taylor and want the atomic and nuclear material in more depth. Long-standing upper-level modern physics text that develops the old quantum theory, Schrödinger theory, spin, and multi-electron atoms. It then applies them to molecules, solids, nuclei and particles, with more mathematical detail and harder problems than sophomore texts.
- bookSpacetime Physics (2nd Edition)FreeThe definitive conceptual treatment of relativity. Classic special relativity text built on spacetime diagrams, the invariant interval and many worked puzzles and exercises. It covers Lorentz transformations, momentum-energy and relativistic collisions, and its final chapter introduces gravity waves, black holes and cosmology. Can be found on https://eftaylor.com/spacetimephysics/ for free, but does not offer a secure connection (https).
- bookModern Physics for Scientists and Engineers (2nd Edition)PaidStandard sophomore modern physics textbook. It covers special relativity, the quantization of light and matter, the Schrödinger equation, the hydrogen atom, multi-electron atoms, molecules, solids, nuclei and elementary particles. Assumes only freshman classical physics and calculus.
- bookUniversity Physics Volume 3 (OpenStax), Chapters 5–11FreeFree, peer-reviewed calculus-based textbook whose second half is a complete modern physics unit: special relativity, photons and matter waves, introductory quantum mechanics, atomic structure, condensed matter, nuclear physics, and particles and cosmology. Includes worked examples and end-of-chapter problems.
- bookMidlatitude Synoptic Meteorology: Dynamics, Analysis, and ForecastingPaidText on analyzing and forecasting mid-latitude weather systems. It covers quasi-geostrophic theory, isentropic analysis, potential vorticity, extratropical cyclones and fronts, terrain-trapped flows, winter storms, manual map analysis and numerical weather prediction.
- bookPractical Meteorology: An Algebra-based Survey of Atmospheric ScienceFreeFree 22-chapter university textbook from UBC. It covers radiation, thermodynamics, stability, clouds, radar and satellites, weather-map analysis, fronts, cyclones, thunderstorms, hurricanes and numerical weather prediction, with worked examples and exercises that need only algebra. This is the strongest free full-course text for the topic. It goes from first principles through map analysis, fronts, storms and NWP. It is far more rigorous than intro sites but needs no calculus.
Personal Development
- paperBrief Structured Respiration Practices Enhance Mood and Reduce Physiological ArousalFreeStanford randomized controlled trial (Cell Reports Medicine, 2023) comparing five minutes a day of cyclic sighing, box breathing, cyclic hyperventilation, or mindfulness meditation over a month. Exhale-focused cyclic sighing gave the largest mood gains and the largest drop in respiratory rate.
- paperGet Excited: Reappraising Pre-Performance Anxiety as ExcitementFreeThis is the original study behind the most-repeated 'reframe nerves as excitement' advice. Harvard Business School experiments (Journal of Experimental Psychology: General, 2014) testing whether people should calm down or reappraise anxiety as excitement before public speaking, karaoke and math tasks. Saying 'I am excited' improved performance compared with trying to calm down.
- bookManaging Social Anxiety, Workbook: A Cognitive-Behavioral Therapy Approach (3rd ed.)PaidClient workbook for Heimberg's cognitive-behavioral therapy protocol for social anxiety, from Oxford's Treatments That Work series. Includes a chapter on public speaking fears covering common automatic thoughts, how to challenge them, and graded exposures to practice. The definitive book-form version of the clinical treatment, with a dedicated public speaking chapter. It goes deeper than the catalog's Monarth & Kase, which is a speaker-oriented adaptation of the same CBT ideas, and the free CCI workbook does not replace it.
- websiteStepping Out of Social Anxiety (CCI self-help workbook)FreeFree ten-module CBT workbook from clinical psychologists at the Centre for Clinical Interventions in Western Australia. Covers negative thinking, avoidance, behavioural-experiment stepladders, safety behaviours, self-focused attention, and how you think you appear to others, with worksheets.
- websiteLearn In PublicFreeA short 2018 essay arguing that professionals should regularly publish 'learning exhaust' such as blog posts, talks, answers, videos and open-source work, and that being visibly wrong in public speeds growth and attracts mentors. A concrete, low-ego way for early-career people to build an expert reputation through publishing.
- websiteThe Ultimate Guide to Writing OnlineFreeA long free essay on building a reputation by writing online. It covers collecting ideas, testing them in conversation, publishing regularly, setting up an online home with an email list, and developing a 'Personal Monopoly' niche from your own mix of skills. Most complete free method for positioning yourself as an expert by publishing; Personal Monopoly is a concrete way to define a unique professional identity.
- websiteEngineering the next generation of LinkedIn's FeedFreeLinkedIn's feed engineers explain how the feed now retrieves and ranks posts: an LLM embeds members and posts for semantic retrieval and a sequence model reads each member's interactions, using profile fields, engagement history, content meaning, recency and skips as signals.
- websitePrepare to Care: A Planning Guide for FamiliesFreeAARP's free downloadable caregiving planning guides (several language and community editions) on starting family conversations, forming a care team, assessing an older relative's needs, organizing documents, and writing a caregiving plan. Workbook-style tool for dividing caregiving duties among siblings and household members, a core multigenerational friction point.
- websiteManaging Someone Else's MoneyFreeConsumer Financial Protection Bureau guides for family members handling a relative's finances as power-of-attorney agent, guardian, trustee, or Social Security/VA representative payee: legal duties, keeping funds separate, record-keeping, and spotting financial exploitation. Authoritative source on the financial-boundary side of caring for a co-resident parent: why not to commingle money, how to document spending.
- websiteChanging Places: Should Your Parents Move in with You?FreeFamily Caregiver Alliance tip sheet of decision questions to work through before an aging parent moves in, grouped by relationships, adapting the home, money and rent, time demands, and personal care limits, with pointers to respite care.
- paperFinancial Issues Top the List of Reasons U.S. Adults Live in Multigenerational HomesFreePew Research Center report combining Census data and a national survey on who lives in multigenerational homes, why they do so (finances, caregiving), how the arrangement affects household finances, and how stressful or rewarding residents find it. The most rigorous evidence base on why families share homes and how it plays out financially and emotionally; grounds expectations before deciding to move in together.
- bookAll in the Family: A Practical Guide to Successful Multigenerational LivingPaidBook-length guide to sharing a home across generations, covering privacy and proximity, remodeling or designing a house for adult children or aging parents, dividing costs, legal and financial planning, cohabitation agreements, and handling family conflict. The only full-length, practitioner-oriented book that spans all four facets of the topic (shared space/design, money, caregiving, communication).
- websiteA Guide to Structured Interviewing for Better Hiring PracticesFreeCandidates rarely see how answers are actually scored. This shows the rubric logic from the employer's side, which explains why STAR-style specific answers win. Google's guide for interviewers on structured interviews. It covers behavioral and hypothetical questions with set follow-ups, scoring rubrics that separate poor, borderline, solid and outstanding answers, note-taking, and interviewer calibration, with reference to the research on why structured interviews predict job performance better.
- websiteUsing the STAR Method for Your Next Behavioral Interview (Worksheet Included)FreeThe most authoritative free explanation of STAR. MIT's career office explains behavioral interview questions and the STAR format (Situation, Task, Action, Result). It suggests time shares for each part and includes a worked sample answer, advice on preparing three to five reusable stories, and a downloadable worksheet.
Literature & Writing
- bookRhetoric (Aristotle, trans. W. Rhys Roberts)FreeThe free full text of Aristotle's treatise on persuasion in W. Rhys Roberts's translation. Book I covers the means of persuasion and logical proof, Book II covers emotions and character, and Book III covers style and arrangement. The primary source for the topic's rhetorical appeals, for learners who want the original rather than a summary. It is dense, so it is rated advanced.
- websiteLogic in Argumentative WritingFreeA Purdue OWL section on logical structure in written argument: syllogisms, the difference between logical, non-logical and illogical claims, a catalogue of common fallacies, and how to use logic in an essay along with its limits.
- bookThey Say / I Say: The Moves That Matter in Academic Writing (6th ed.)PaidA guide built on templates for the core moves of written argument: summarizing what others say, responding with your own claim, planting and answering objections, and explaining why the claim matters. The sixth edition (2024) is used in most US composition courses.
- youtubeLEADERSHIP LAB: The Craft of Writing EffectivelyFreeReframes persuasion around the reader's problem rather than the writer's thesis; this one idea fixes more persuasive writing than any checklist. An 80-minute University of Chicago lecture by Larry McEnerney arguing that professional writing exists to change what readers think, not to convey the writer's ideas. Covers value to the reader, framing problems as instability, and words that signal an argument.
- bookAdventures in the Screen TradePaidThis is the classic insider account of how Hollywood buys scripts, and screenwriting communities still recommend it. William Goldman's account of working as a Hollywood screenwriter. It covers how studios, stars, and executives decide what gets made, along with meetings, pitching, rewrites, and deal-making. It is the source of the phrase "Nobody knows anything."
- websiteWGA West Screenwriters HandbookFreeThis is the authoritative reference on which pitch requests count as unpaid work and what a writer can refuse. The Writers Guild's guide to the business side of selling a screenplay. It covers negotiating a screen deal, minimums, pitching on open writing assignments, sweepstakes pitching, leave-behinds and pre-writing, free work, and producer passes. The PDF is downloadable from the page.
- websitePerfecting the Pitch: Billy Ray's TipsFreeShort, concrete checklist from an A-list screenwriter. WGA write-up of a Writers Guild Foundation talk in which Billy Ray (Captain Phillips, Richard Jewell) gives eleven pitching rules. They cover index-card preparation, how to open, length, road-testing, deciding between pitching and writing on spec, and refusing leave-behinds.
- websiteAdvice From Pro Screenwriters on PitchingFreeScott Myers collects pitching threads from Eric Heisserer (Arrival) and Selwyn Seyfu Hinds. They cover original and assignment pitches, feature pitch structure, tiered buyer meetings, visual aids, pitch length, revising between meetings, and handling outcomes. Detailed first-person accounts of how produced writers build and deliver a feature pitch, including the structure of an assignment pitch.
- podcastScriptnotes Ep. 699: How to Talk About YourselfFreeJohn August and screenwriter Pamela Ribon cover general meetings, where writers pitch themselves rather than a project: small talk, finding common ground, discussing work under NDA, nerves, and practical setup for pitching on Zoom. General meetings ('generals') are the step before most pitches, and few sources cover them in depth. This episode is a practical, specific walkthrough from working writers.
- podcastScriptnotes Ep. 711: The State of PitchingFreeJohn August and Aline Brosh McKenna (The Devil Wears Prada, Crazy Ex-Girlfriend) discuss what executives expect from pitches today, how a pitch deck is structured, how it differs from a lookbook, and how to pitch over Zoom. A transcript is posted.
- websiteTraditional Ballads: StructureFreePoet Susan Tichy's study page on how traditional ballads are built. It covers couplet-and-refrain ballads, four-beat lines and the rule of three, with a stanza-by-stanza analysis of Child 14, 'Babylon'. It ends with a taxonomy of ballad repetition, including incremental repetition. It shows how repetition and refrain drive the plot of a Child ballad instead of just defining the term.
- bookThe Odyssey (translated by Emily Wilson)PaidThis is the best entry text for epic: a readable, line-matched metrical translation whose introduction explicitly analyzes narrative and meter. Emily Wilson's verse translation of Homer's Odyssey, written in iambic pentameter with the same number of lines as the Greek. Her long introduction and translator's note discuss Homeric narrative technique, oral composition, formulaic epithets and why she chose English meter.
- courseMilton (ENGL 220)FreeYale lecture course by John Rogers, 24 recorded sessions with transcripts. Most of it is close reading of Paradise Lost, covering its blank verse, epic conventions, narrative voice and characterization, plus Paradise Regained and Samson Agonistes. It includes some lyric and prose, but Paradise Lost dominates the lectures.
- bookThe Ancient Greek Hero in 24 HoursFreeGregory Nagy's Harvard course in book form: close readings of the Iliad, Odyssey, Hesiod, lyric and tragedy, explaining how oral-formulaic epic builds story through traditional diction, epithets and recurring themes. The full text is free on the Center for Hellenic Studies site.
- podcastThe Longform Podcast (archive)FreeA free, primary-source record of how working narrative writers report and build stories, which the books can't provide. Archive of about 585 interviews (2012-2024) with nonfiction writers and editors, among them John Jeremiah Sullivan, about how specific long-form stories were reported, structured, and edited. Free to stream. The show ended in June 2024 and the archive remains online.
- bookDraft No. 4: On the Writing ProcessPaidThe standard practitioner text on structuring long nonfiction and on the fact-checking and editorial process. It is less a beginner manual than a master's account. Eight essays by John McPhee, adapted from The New Yorker, on structure, sequence, access to sources, frame of reference, editors and fact-checkers, omission, and revision. Uses his own long-form pieces and their diagrammed structures as worked examples.
- bookStorycraft: The Complete Guide to Writing Narrative Nonfiction (2nd Edition)PaidThe most complete, systematic craft textbook for the field. It covers the whole pipeline from reporting to arc to ethics, which is what makes it the single spine resource for a learner. Jack Hart's manual on narrative nonfiction craft: story theory, structure and narrative arc, point of view, scene, character, dialogue, reporting for story, explanatory and other narrative forms, and ethics. The 2021 edition adds podcasting and research on storytelling.
- bookThe Norton Anthology of Theory and Criticism (3rd edition)PaidA primary-source anthology of 191 selections by 157 authors, from Plato and Aristotle through Saussure, Barthes, Derrida, Foucault, Showalter, Said, Spivak and Butler. Each piece has a scholarly headnote and annotations, and the book spans about 2,800 pages.
- bookLiterary Theory: An Introduction (Anniversary Edition)PaidThis is the canonical argumentative history of the field. Eagleton's critical history of modern literary theory, from the rise of English studies through phenomenology, hermeneutics, reception theory, structuralism, post-structuralism and psychoanalysis. It argues that all theory is political. Unlike Barry's neutral handbook, it has a thesis about what theory is for, which gives readers a structural understanding rather than a list of schools. The 2008 edition adds a new preface on the later 'anti-theory' turn.
Arts & Design
- youtubeNatalia Taffarel YouTube ChannelFreeFree videos from a professional beauty and fashion retoucher covering high-end skin retouching, dodge and burn, frequency separation, and color work in Photoshop, shown on commercial-grade images with full workflow commentary. Covers the high-end retouching half of the topic from a practitioner's standard rather than a generalist tutorial channel.
- youtubePiXimperfect (Unmesh Dinda) YouTube ChannelFreeFree Photoshop tutorial channel by Unmesh Dinda. Explains blend modes, selections, masking, frequency separation, dodge and burn, object removal and color grading, with emphasis on why each tool behaves as it does.
- bookPhotoshop Masking & Compositing (2nd Edition)PaidStep-by-step treatment of selections, masks and multi-image compositing in Photoshop. Covers selection tools, preserving fine edges, hair and translucent subjects, channel-based masks, and matching light, perspective and color across combined images. Techniques (channels, masks, edge work) are version-independent.
- bookModern Photoshop Color Workflow: The Quartertone Quandary, the PPW, and Other Ideas for Speedy Image EnhancementPaidDan Margulis's 2013 color-correction workflow for Photoshop. Covers curves, channel blending, LAB and RGB moves, sharpening and the Picture Postcard Workflow panel, with numeric reasoning for each adjustment rather than presets. Structural anchor for the color-grading half of the topic: teaches why curves and channel moves work, which outlasts any version-specific tutorial.
- youtubeBalancing Cards in Clash Royale (GDC 2017)FreeA free, first-hand case study of balancing a live competitive game with data, complementing the theory in the other picks. A GDC 2017 talk by Supercell designer Stefan Engblom on how the Clash Royale team balances cards in a live game. It covers metagame health goals, usage and win-rate data, and what the team got right and wrong in the first year.
- websiteBalancing Multiplayer Games (Parts 1–4)FreeA four-part essay series by David Sirlin that defines balance as viable options plus fairness of starting options. It covers asymmetric multiplayer games and the role of designer intuition, drawing on fighting-game balancing experience. It gives the conceptual vocabulary (viable options, fairness, dominant strategies) that the math-heavy resources assume, from a practitioner.
- bookGame BalancePaidAn 806-page textbook by Ian Schreiber and Brenda Romero on the math and process of balancing games. It covers economies, cost curves, progression, probability, pseudorandomness, analytics, and spreadsheet modeling, with case studies and exercises. It is the definitive reference and the expanded successor to the free course, so the two pair naturally.
- courseGame Balance Concepts (10-level course)FreeIan Schreiber's free ten-week course, posted as weekly lessons with homework. Covers numeric relationships, cost curves, probability, situational balance, progression and pacing, metrics, intransitive mechanics, and game economies, with spreadsheet exercises throughout. It is a structured progression with real math and assignments, not a list of tips.
- bookDrawn to Life: 20 Golden Years of Disney Master Classes, Volume 1: The Walt Stanchfield LecturesPaidThe collected handouts from Walt Stanchfield's gesture classes at Walt Disney Animation Studios, edited by Don Hahn. The gesture section covers drawing actions rather than poses, line of action, tension, weight and storytelling poses, alongside essays on observation. The reference work for the 'draw verbs, not nouns' philosophy of gesture; complements Hampton's construction method.
Music & Audio
- bookMusic in the Galant StylePaidRobert Gjerdingen's catalog of the stock voice-leading patterns (schemata), such as the Romanesca, Prinner, Monte and Fonte, that 18th-century composers learned as apprentices and combined into pieces. Each schema is shown in annotated musical examples, with historical chapters on how composers were trained. Gives composers a concrete, historically grounded vocabulary of phrase-building patterns, which is how 18th-century composers actually learned the craft. This is a different skill from the form-level teaching in Caplin or Schoenberg.
- bookMusical Composition: Craft and ArtPaidYale University Press textbook (2018, 272 pages) for beginning composers. It sets out style-independent principles for creating and connecting musical ideas, managing tension and climax, and shaping form, then covers the classical forms. Audio examples and score files are free on the author's site. The written counterpart to the free video series, for readers who want a systematic reference with exercises and instructor suggestions.
- youtubeMusical Composition, Craft and Art (YouTube course)FreeA free 57-video lecture series by composer Alan Belkin, retired professor at the Université de Montréal. It covers generating and developing musical ideas, transitions, building climaxes, contrast, and large-scale form, using a style-neutral approach with score examples.
- websiteComputer Audio Resources and Strategies (Ableton Live 12 Reference Manual)FreeOfficial Ableton Live 12 manual chapter on managing CPU and disk load: reading the CPU meter, per-track performance impact, disabling unused I/O, freezing and bouncing tracks, RAM mode, and diagnosing overload dropouts. This is the clearest primary-source treatment of the freeze/bounce/commit workflow.
- bookMixing Secrets for the Small Studio (2nd Edition)PaidThe standard recommendation for the mixing-and-mastering stage of the workflow, written as an ordered process (prepare, balance, process, finalize) rather than a tips collection. Mike Senior's step-by-step mixing method for home studios: monitoring setup, session preparation, balance, EQ, compression, effects, automation, mix-bus processing and mastering. The companion Cambridge-MT site offers free chapter resources and multitrack sessions for practice.
- bookMaking Music: 74 Creative Strategies for Electronic Music ProducersPaidThe most process-focused book on the creative side of production: organized literally around starting, progressing and finishing. Dennis DeSantis's book of 74 short, DAW-agnostic strategies grouped as problems of beginning, progressing and finishing a track. Ableton publishes 24 chapters free on this site; the full book is sold in print and ebook.
- bookGuitar Effects Pedals: The Practical Handbook (Updated and Expanded Edition)PaidDave Hunter's handbook on the main pedal types — overdrive, distortion, fuzz, compression, modulation, delay, reverb and wah. It explains how each circuit shapes the signal, covers signal-chain order and amp interaction, and gives practical setup advice.
- bookThe Advancing GuitaristPaidMick Goodrick's book on understanding the fretboard. It has the player work scales and modes along single strings and string pairs, and covers intervals, triads and improvising, aiming at open-ended exploration of the neck rather than memorised box shapes. A conceptual fretboard text that complements rather than duplicates the Guitar Grimoire's charts.
- websiteTed Greene Teaching Archive (lesson sheets)FreeA free archive of Ted Greene's handwritten lesson sheets as downloadable PDFs, covering jazz and blues comping, chord studies, harmony, single-note soloing and his V-System for organising voicings across the fretboard, plus audio from his private lessons. The deepest free resource for the jazz side of the topic, primary-source material, no paywall (voluntary donations only).
- youtubeCracking the Code (Troy Grady YouTube channel)FreeThe only rigorous, evidence-based treatment of picking mechanics: the free episodes cover the core concepts. Troy Grady's free video series on picking mechanics. It uses slow-motion footage and interviews with virtuoso players to analyse pickslanting, string changes, escape motions and wrist and forearm motion for fast, clean alternate and economy picking.
- courseEssential Blues Lead Guitar (JustinGuitar Grade 4 module)FreeA free 13-lesson module from Justin Sandercoe's structured course. It starts from the minor pentatonic scale, then covers string bending, the blues curl, vibrato, licks and improvising over a 12-bar blues — the core electric lead techniques.
Engineering
- websiteMake Floor Plan — Floor Plan Symbols GuideFreeA free beginner reference for reading walls, door swings, windows, stairs, fixtures and dimension marks on a floor plan. Includes an eight-symbol downloadable SVG reference sheet and explains why the drawing's own legend, units and notes take priority. A short companion to an architecture fundamentals reading list; it does not replace measured drawings, building regulations or professional training.
- websiteLandscape Performance Series: Case Study BriefsFreeThe Landscape Architecture Foundation's free database of over 200 built landscape projects. Each brief documents measured environmental, social and economic results, such as stormwater captured, heat reduction, habitat and park use, with the methods research teams used to measure them. The field's standard free source of measured post-occupancy outcomes, moving the reader from principles (McHarg, Whyte) to evidence.
- websiteWhat's Out There: Cultural Landscape DatabaseFreeA free precedent library: the most complete free collection of sourced parks, plazas and landmarks. The Cultural Landscape Foundation's free searchable database of more than 2,800 designed and cultural landscapes, 1,400 designer biographies and 14,000 images, filterable by designer, type, style and location, plus city guides and oral histories with practitioners.
- bookLandscape Design: A Cultural and Architectural HistoryPaidA single-volume survey of designed landscapes from prehistoric sites through Islamic, medieval, Renaissance, Japanese, English landscape and modern public parks to contemporary work. It has about 630 illustrations and relates each period's designs to its culture and ideas. History and precedent are core to landscape architecture education.
- bookThe Social Life of Small Urban SpacesPaidWilliam H. Whyte's 1980 field study of New York plazas. It uses time-lapse film and direct observation to show how seating, sun, water, food and street edges decide whether people use a public space. It became the empirical basis for NYC zoning rules on plazas.
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Arts & Design
- bookGesture Drawing: Dynamic Movement and FormPaidA 128-page book devoted to gesture: body language, weight, balance and proportion, a sixteen-line construction approach, wrapping lines, and gesture of the head, hands and feet, ending with an approach based on the frame and light and shadow.
- websiteVilppu Drawing Online: GestureFreeGlenn Vilppu's first lesson in Animation World Magazine's online drawing course, adapted from the Vilppu Drawing Manual. It gives a head-to-torso-to-limbs sequence for 10–30 second gesture sketches, with illustrations and advice on analyzing poses and drawing from memory.
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