Book:John Allen Paulos/Beyond Numeracy

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John Allen Paulos: Beyond Numeracy: An Uncommon Dictionary of Mathematics

Published $1991$, Penguin Books

ISBN 0-14-014574-5.


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