Mathematics library
Explore mathematics.
Browse from fundamental concepts to advanced analysis. Each finished topic is designed around precise definitions, formulas, worked examples and visual intuition.
Algebra
Equations, expressions, polynomials and inequalities.
Real Analysis & Calculus
Limits, derivatives, integrals, sequences and series.
Complex Analysis
Complex numbers, holomorphic functions and Laurent series.
Arithmetic
Number systems, divisibility, primes and powers.
Linear Algebra
Vectors, matrices, determinants and eigenvalues.
Geometry
Euclidean, analytic, affine and spatial geometry.
Trigonometry
Triangles, the unit circle, identities and periodic functions.
Probability
Distributions, moments, stochastic processes and queues.
Statistics
Descriptive statistics, inference, regression and time series.
Differential Equations
Ordinary and partial differential equations and transforms.
Discrete Mathematics
Graphs, automata, combinatorics and recurrences.
Functions
Function types, transformations, inverses and composition.
Foundations
Logic, set theory, proof techniques and structures.
Numerical Mathematics
Error analysis, interpolation, root finding and integration.
Optimization
Linear, integer and nonlinear optimization.
Functional Analysis
Normed spaces, operators, Fourier analysis and distributions.
Measure & Integration
Measure theory, Lᵖ spaces and convergence theorems.
Topology
Metric spaces, topological spaces and manifolds.
Number Theory
Congruences, residues and elliptic curves.
Information & Coding
Information theory, coding and mathematical cryptography.
Logic & Category Theory
Formal logic, model theory and categorical structures.