Overview

The Math Explorations Series examines important and interesting mathematical concepts outside the constraints of a traditional chapter-by-chapter course. Each exploration may combine narrative explanation, mathematical principles, worked examples, problem sets, visual aids, and links to related concepts. Topics are organized as interconnected learning clusters, allowing readers to follow mathematical ideas across subjects, revisit concepts from different perspectives, and explore them in greater depth.

Arithmetic Concepts

Algebra Concepts

Geometry Concepts

Trigonometry Concepts

Statistics Concepts

Calculus Concepts

Discrete Mathematics Concepts

Linear Algebra Concepts

Abstract Algebra Concepts

Topology Concepts

Proof & Logic Concepts

Combinatorics Concepts

Differential Equations Concepts

Real and Complex Analysis Concepts

Number Theory Concepts

Prime Number Concepts

Cryptology Concepts

Computational & Applied Concepts

Foundational Concepts