Includes bibliographical references (pages 1041-1052) and indexes.

Numbers and language -- Systems of numeration -- Types of numbers -- Cornerstones of mathematics -- Combinatorics -- Symbolic logic -- Set theory -- Introduction to sequences and series -- Theory of equations -- Introduction to functions -- Overture to the geometries -- Elementary geometry -- Trigonometry -- Hyperbolic functions -- Analytic geometry -- Vector analysis -- Fractals -- Matrices and determinants -- Embarking on calculus -- Introduction to differential calculus -- Introduction to integral calculus -- Power series -- Indeterminate limits -- Complex numbers revisited -- Extrema and critical points -- Arc length -- Centroids -- Area -- Volume -- Motion -- Harmonic analysis -- Methods of approximation -- Probability theory -- Differential equations.

An illustrated exploration of mathematics and its history, beginning with a study of numbers and their symbols, and continuing with a broad survey that includes consideration of algebra, geometry, hyperbolic functions, fractals, and many other mathematical functions.