Book:John Allen Paulos/Beyond Numeracy

Contents

 * Introduction


 * A Mathematical Accents


 * Algebra -- Some Basic Principles


 * Analytic Geometry


 * Arabic Numerals


 * Areas and Volumes


 * Binary Numbers and Codes


 * Calculus


 * Chaos Theory


 * Coincidences


 * Combinatorics, Graphs, and Maps


 * Complexity of Programs


 * Computation and Rote


 * Correlation, Intervals, and Testing


 * Differential Equations


 * E


 * Mathematics in Ethics


 * Exponential Growth


 * Fermat's Last Theorem


 * Mathematical Folklore


 * Fractals


 * Functions


 * Game Theory


 * Gödel and His Theorem


 * Golden Rectangle, Fibonacci Sequences


 * Groups and Abstract Algebra


 * Human Consciousness, Its Fractal Nature


 * Humor and Mathematics


 * Imaginary and Negative Numbers


 * Impossibilities -- Three Old, Three New


 * Mathematical Induction


 * Infinite Sets


 * Limits


 * Linear Programming


 * Matrices and Vectors


 * Mean, Median, and Mode


 * Möbius Strips and Orientability


 * Monte Carlo Method of Simulation


 * The Multiplication Principle


 * Music, Art, and Digitalization


 * Non-Euclidean Geometry


 * Notation


 * Oulipo -- Mathematics in Literature


 * Partial Orderings and Comparisons


 * Pascal's Triangle


 * Philosophy of Mathematics


 * Pi


 * Platonic Solids


 * Prime Numbers


 * Probability


 * The Pythagorean Theorem


 * QED, Proofs, and Theorems


 * The Quadratic and Other Formulas


 * Quantifiers in Logic


 * Rational and Irrational Numbers


 * Recursion -- From Definitions to Life


 * Russell's Paradox


 * Scientific Notation


 * Series -- Convergence and Divergence


 * Sorting and Retrieving


 * Statistics -- Two Theorems


 * Substitutability and More on Rote


 * Symmetry and Invariance


 * Tautologies and Truth Tables


 * Time, Space, and Immensity


 * Topology


 * Trigonometry


 * Turing's Test, Expert Systems


 * Variables and Pronouns


 * Voting Systems


 * Zeno and Motion


 * Chronological Listing of the "Top Forty"


 * Suggested Readings


 * Index