The Theorem of Pythagoras * Greek Geometry * Greek Number Theory * Infinity in Greek Mathematics * Number Theory in Asia * Polynomial Equations * Analytic Geometry * Projective Geometry * Calculus * Infinite Series * The Revival of Number Theory * Elliptic Functions * Mechanics * Complex Numbers in Algebra * Complex Numbers and Curves * Complex Numbers and Functions * Differential Geometry * Noneuclidean Geometry * Group Theory * Hypercomplex Numbers * Algebraic Number Theory * Topology * Sets, Logic, and Computation * Bibliography * Index

This book offers a collection of historical essays detailing a large variety of mathematical disciplines and issues; it's accessible to a broad audience. This second edition includes new chapters on Chinese and Indian number theory, on hypercomplex numbers, and on algebraic number theory. Many more exercises have been added as well as commentary that helps place the exercises in context.