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Wolfram MathWorld

by Eric W. Weisstein · Wolfram Research

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.

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Also charted under:Rings Fields Vector Spaces Modules Homomorphisms Galois Theory Algebraic Structures Polynomial Rings Group Actions Linear Equations Polynomials Inequalities Exponential Functions Sequences & Series Abstract Algebra Algebraic Varieties Affine Schemes Projective Spaces Sheaves Cohomology Curves Surfaces Algebraic Curves Schemes Moduli Spaces Homotopy Homology Fundamental Group Covering Spaces Simplicial Complexes CW Complexes Fiber Bundles Characteristic Classes K-Theory Basic Operations Decimals Exponents Number Theory Limits Integration Multivariable Calculus Vector Calculus Differential Equations Series & Sequences Calculus Theorems Real Analysis Categories Functors Natural Transformations Adjoint Functors Limits & Colimits Monads Universal Properties Topoi Categorical Logic Permutations Combinations Binomial Theorem Graph Theory Counting Principles Generating Functions Recurrence Relations Inclusion-Exclusion Combinatorial Designs Ramsey Theory Complex Numbers Analytic Functions Complex Integration Cauchy’s Theorem Power Series Laurent Series Residue Theorem Conformal Mapping Complex Differentiation Harmonic Functions Ordinary Differential Equations Partial Differential Equations First-Order ODEs Second-Order ODEs Systems of ODEs Boundary Value Problems Initial Value Problems Laplace Transforms Numerical Solutions Stability Analysis Manifolds Tangent Spaces Differential Forms Riemannian Metrics Curvature Geodesics Lie Groups Vector Bundles Tensors Connections De Rham Cohomology Smooth Maps Embedding Theorems Morse Theory Homotopy Groups Set Theory Logic Combinatorics Boolean Algebra Relations & Functions Chaos Theory Bifurcation Theory Phase Spaces Attractors Ergodic Theory Hamiltonian Systems Nonlinear Dynamics Control Theory Banach Spaces Hilbert Spaces Linear Operators Spectral Theory Functional Spaces Operator Algebras Sobolev Spaces Distributions C*-Algebras Topological Vector Spaces Euclidean Geometry Circles Trigonometric Functions Unit Circle Coordinate Geometry Analytic Geometry Graphs and Digraphs Connectivity Trees Graph Coloring Planar Graphs Matching Theory Network Flows Spectral Graph Theory Extremal Graph Theory Random Graphs Fourier Series Fourier Transforms Wavelets Convolution Singular Integrals Hardy Spaces Maximal Functions Matrices Determinants Linear Transformations Eigenvalues & Eigenvectors Matrix Algebra Orthogonality Linear Independence Applications of Linear Algebra Propositional Logic Predicate Logic Proof Techniques Formal Systems Gödel’s Theorems Set Theory Axioms Modal Logic Logical Foundations of Mathematics Computability Model Theory Classical Mechanics Quantum Mechanics Statistical Mechanics Electrodynamics General Relativity Special Relativity Quantum Field Theory String Theory Symplectic Geometry Hamiltonian Mechanics Measure Spaces Lebesgue Integration Sigma-Algebras Measurable Functions Lebesgue Measure Integration Theory Probability Measures Radon-Nikodym Theorem Fubini’s Theorem Lp Spaces Divisibility Prime Numbers Congruences Quadratic Residues Diophantine Equations Modular Arithmetic Number Fields Algebraic Numbers Cryptography Analytic Number Theory Matrix Computations Eigenvalue Problems Singular Value Decomposition QR Factorization LU Factorization Iterative Methods Condition Numbers Krylov Subspace Methods Sparse Matrices Numerical Stability Probability Spaces Random Variables Probability Distributions Expected Value Variance & Covariance Conditional Probability Bayes’ Theorem Markov Chains Stochastic Processes Limit Theorems Real Numbers Continuity Differentiation Metric Spaces Measure Theory Functional Analysis Group Representations Lie Algebras Character Theory Irreducible Representations Schur’s Lemma Representation of Finite Groups Lie Group Representations Tensor Products Induced Representations Unitary Representations Sets & Operations Relations Functions Cardinality Ordinals Axiom of Choice Zermelo-Fraenkel Axioms Well-Ordering Theorem Transfinite Induction Continuum Hypothesis Descriptive Statistics Probability Theory

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Euler's Formula with Introductory Group Theory

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