The Little Book of Mathematical Principles, Theories & Things. Robert Solomon

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Calculating Machines

       Analytic Geometry

       A Formula for Prime Numbers

       The Problem of the Points

       Pascal’s Triangle

       The Binomial Distribution

       Pascal’s Wager

       Differentiation

       Integration

       The Fundamental Theorem of Calculus

       Three Laws of Motion

       The Law of Gravity

       The Precession of the Equinoxes

       The Law of Large Numbers

       The Normal Distribution

       The Seven Bridges of Königsberg

       Goldbach’s Conjecture

       V + F = E + 2

       The Gambler’s Fallacy

       Complex Numbers

       e

       Regular Polygons Revisited

       Arithmetic and Geometric Progressions

       The Fundamental Theorem of Algebra

       Fourier Series

       The Difference and Analytic Engines

       Quintic Equations

       Non-Euclidean Geometry

       Galois Theory

       Constructible Lengths

       Doubling the Cube and Trisecting the Angle Revisited

       Quaternions

       Transcendental Numbers

       Kirkman’s Schoolgirl Problem

       The Laws of Thought

       Twisted Shapes

       The Riemann Hypothesis

       Maxwell’s Equations

       The Countability of Fractions

       The Uncountability of the Reals

       Squaring the Circle Revisited

       The Correlation Coefficient

       The Continuum Hypothesis

       Space-Filling Curves

       Wallpaper Patterns

       ‘Doughnuts and Coffee Cups’

       What the Tortoise Said to Achilles

       The Prime Number Theorem

       Hilbert’s Problems

       Quantum Mechanics

       The Central Limit Theorem

       Russell’s Paradox

      

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