Book:John Allen Paulos/Beyond Numeracy
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John Allen Paulos: Beyond Numeracy: An Uncommon Dictionary of Mathematics
Published $\text {1991}$, 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