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

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


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       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

       Mathematics as Part of Logic

       The Snowflake Curve

       Axiom of Choice

       The Jordan Curve Theorem

       Special Relativity

       Intuitionism

       Zermelo–Fraenkel Set Theory

       The Hairy-Ball Theorem

       General Relativity

       The Hilbert Program

       Gödel’s Theorem

       The Travelling Salesman

       Turing Machines

       Binary Numbers

       The Ham Sandwich Theorem

       The Enigma Machine

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