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Discover the 50 equations that have led to incredible discoveries, ground-breaking technology and have shaped our understanding of the world. From much heralded classics, like Zeno's Dichotomy and Pythagoras's Theorem, to The Schredinger Wave Equation and Google PageRank, each equation is broken down and explained in a unique, illustrated way, so that you understand what it's about what it's good for its history, detail and related equations. Behind every important scientific discovery there is an equation. They are far from baffling, and now you too can understand their power and beauty!
Albert Einstein's general theory of relativity (E=mc2), is a central theory in modern physics with implications on our insight into everything from black holes to the expansion of the universe. But how did Einstein come up with it? And what has happened to it since then?
The Secret Life of Equations is not a mathematics book but a map by which readers can discover equations from a different perspective. Selected from geometry, technology, science, chance and mathematics, the 50 equations are explored by way of their history. Why were they needed? How were they developed? What is their value today?
The equations are presented as follows:
Concise, understandable text highlighted with clever illustrations.
Visual and textual descriptions of the equations' components, for ultimate clarity.
"What's It About" fictional scenarios to explain the original problems or theories in want of a solution or proof.
"What's It Good For?" descriptions tell how the equations proved theories and how they are used today.
In uncomplicated text, the book follows the evolution of each equation, bringing to life the brilliant minds and unique characters that starred in the story, and how their achievements advanced modern theory. It points out the faults and problems that arose and explains how the equations are fundamental to our understanding of the world, not to mention the unfathomable universe.
The Secret Life of Equations will enlighten and entertain in equal measure. It is excellent for readers interested in mathematics history and for students that would benefit from the allegorical explanations
About the Author
Rich Cochrane is a writer and educator. He devises and teaches innovative maths courses for artists at Central Saint Martins, London, and lectures in maths and philosophy at City Lit. He has been commissioned by, among others, the Museum of London to bring cultural history - including maths - to a wider audience. Rich has written books on literature, music and computing and has for many years organized public educational events in public houses and cafes in London. He also spent a decade working in the City, writing software for derivatives trading floors, which is how he discovered that maths was a lot more interesting than it seemed to be at school, and he has degrees in both maths and English literature and a PhD in philosophy
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 mirrow 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 Schrodinger 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