Breaking Math
by Autumn Phaneuf · Gabriel Hesch and Jonathan Baca
Breaking Math is a deep-dive science, technology, engineering, AI, and mathematics podcast that explores the world through the lens of logic, patterns, and critical thinking. Hosted by Autumn Phaneuf, an expert in industrial engineering, operations research and applied mathematics, and Gabriel Hesch, an electrical engineer (host from 2016-2024) with a passion for mathematical clarity, the show is dedicated to uncovering the mathematical structures behind science, engineering, technology, and the systems that shape our future. What began as a conversation about math as a pure and elegant discipline has evolved into a platform for bold, interdisciplinary dialogue. Each episode of Breaking...
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Wolfram MathWorld
MathWorld is an online mathematics encyclopedia from Wolfram Research offering detailed, browsable articles on topics across the math spectrum, including algebra, geometry, calculus, and number theory. Each entry includes definitions, theorems, formulas, diagrams, worked examples, and links to further reading.
ProofWiki - Real Numbers
Wiki entry giving the axiomatic definition of the real numbers as a complete ordered field, with links to constructions via Dedekind cuts and Cauchy sequences and to the proofs behind each stated property.
Real Analysis (MIT 18.100A)
Rigorous foundations of calculus: real numbers, convergence of sequences and series, continuity, differentiability, the Riemann integral, sequences and series of functions, uniform convergence and interchange of limits. Includes 25 lecture videos, notes, problem sets and exams, and teaches how to read and construct proofs.
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Master multivariable calculus! Explore functions of several variables, gradients, and more with this comprehensive course.
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Learn real numbers and calculus with Dr. Trefor Bazett! Explore math concepts through engaging YouTube video lectures.
Math Mutation
Welcome to Math Mutation, a podcast for people of all ages where we discuss fun, interesting, or just plain weird corners of mathematics that you would not have heard in school.(Feedback email erik@mathmutation.com).