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Index
Title
Copyright
Contents
Introduction
The Shape of Space
Geometry and Number
Pythagoras’s Theorem
Trigonometry
Conic Sections
Zeno’s Dichotomy
Fibonacci Numbers
The Fundamental Theorem of Calculus
Curvature
Frenet-Serret Frames
Logarithms
Euler’s Identity
The Euler Characteristic
The Hairy Ball Theorem
A Mirror up to Nature
Science
Kepler’s First Law
Newton’s Second Law
Universal Gravitation
Conservation of Angular Momentum
The Ideal Gas Law
Snell’s Law
Brownian Motion
Entropy
The Damped Harmonic Oscillator
The Heat Equation
The Wave Equation
E = MC2
Maxwell’s Equations
The Navier-Stokes Equation
The Lotka-Volterra Equations
The Schrödinger Wave Equation
What Have You Done For Me Lately?
Technology
The Mercator Projection
Spherical Trigonometry
The Cross-Ratio
The Cauchy Stress Tensor
The Tsiolkovsky Rocket Equation
De Morgan’s Laws
Error-Correcting Codes
Information Theory
The Fourier Transform
The Black-Scholes Equation
Fuzzy Logic
Degrees of Freedom
Quaternion Rotation
Google PageRank
Known Unknowns
Chance and Uncertainty
The Uniform Distribution
The Gambler’s Ruin
Bayes’s Theorem
The Exponential Distribution
The Law of Large Numbers
The Normal Distribution
The Chi-Square Test
The Secretary Problem
Index
Acknowledgements
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