Instant Mathematics

by Paul Parsons, Gail Dixon

Overview

Key thinkers, theories, discoveries, and concepts each explained on a single page

Instant Mathematics pulls together all the pivotal mathematical theories and discoveries into one concise volume. Each page contains a distinct “cheat sheet,” which tells you the most important facts in bite-size chunks, so you can feel like an expert in minutes! From zero to the Riemann Hypothesis, from primes to irrational numbers, and from Pythagoras to John Nash and Roger Penrose—every key figure, theory, or term is expressed in succinct and lively text and graphics. Perfect for the knowledge-hungry and time-poor, this collection of graphics-led lessons makes math interesting and accessible. Everything you need to know—and more!—packed into one convenient volume.
 

Product Details

ISBN-13:	9781645170556
Publisher:	Portable Press
Publication date:	06/09/2020
Series:	Instant Knowledge
Pages:	176
Product dimensions:	7.40(w) x 9.40(h) x 0.80(d)

About the Author

Dr. Paul Parsons is a regular contributor to Nature, New Scientist, and the Daily Telegraph. He frequently appears on BBC radio, and his television credits include Richard & Judy and BBC Breakfast. He was formerly editor of the BBC's award-winning science and technology magazine Focus.

Gail Dixon is a journalist and editor. She recently co-authored 3-Minute Hawking about theoretical physicist, Stephen Hawking. She has also worked as a commissioning editor for BBC’s Focus magazine.

Table of Contents

Introduction 9

Ancient

Counting 12

Arithmetic 13

Magic Squares 14

Fractions 15

Triangles 16

Thales of Miletus 17

Cryptography 18

Exponentiation 19

Area and Volume 20

Pythagoras 21

Pythagoran Theorem 22

Irrational Numbers 23

Hypatia 24

Polyhedra 25

Perfect Numbers 26

Prime Numbers 27

Mathematical Proof 28

Euclid 29

Euclidean Geometry 30

Algorithms 31

Pi 32

Archimedes 33

Eratosthenes of Cyrene 34

Conic Sections 35

Combinatorics 36

Binary Numbers 37

Roman to Middle Ages

Algebra 38

Trigonometry 39

Zero 40

Ptolemy 41

Diophantus 42

Diophantine Equations 43

Tessellations 44

Boethius 45

Aryabhata 46

Brahmagupta 47

Muhammad ibn Musa al-Khwarizmi 48

Matrices 49

Omar Khayyam 50

Fibonacci 51

Early Modern

Quartic Equations 52

Gerolamo Cardano 53

Imaginary Numbers 54

Kepler's Conjecture 55

John Napier 56

Logarithms 57

Euler's Number 58

Rene Descartes 59

Cartesian Coordinates 60

Pierre de Fermat 61

Fermat's Last Theorem 62

Blaise Pascal 63

Pascal's Triangle 64

Probability 65

Infinity 66

Calculus 67

Gottfried Wilhelm Leibniz 68

Isaac Newton 69

Numerical Analysis 70

Mechanics 71

Polar Coordinates 72

Abraham de Moivre 73

Infinite Series 74

Graph Theory 75

Gambling 76

Leonhard Euler 77

Topology 78

The Bernoulli Family 79

Probability Distributions 80

Bayes's Theorem 81

Knot Theory 82

Latin Squares 83

Joseph Louis Lagrange 84

Adrien-Marie Legendre 85

Pierre-Simon Laplace 86

Nineteenth Century

Sophie Germain 87

Joseph Fourier 88

Fourier Analysis 89

Modular Arithmetic 90

Correlation And Regression 91

The Normal Distribution 92

The Golden Mean 93

Carl Friedrich Gauss 94

Computing 95

Augustin-Louis Cauchy 96

Non-Euclidean Geometry 97

Group Theory 98

Differential Geometry 99

Charles Babbage 100

Peter Gustav Lejeune Dirichlet 101

Ada Lovelace 102

William Rowan Hamilton 103

Quaternions 104

Catalan's Conjecture 105

Transcendental Numbers 106

Georg Friedrich Bernhard Riemann 107

Niels Henrik Abel 108

The Four-Color Theorem 109

Boolean Logic 110

The Riemann Hypothesis 111

Florence Nightingale 112

Sofia Kovalevskaya 113

Abstract Algebra 114

Georg Cantor 115

Set Theory 116

Henri Poincaré 117

Hermann Minkowski 118

Tensors 119

Twentieth Century and Beyond

Poincaré Conjecture 120

Discrete Geometry 121

David Hilbert 122

The Pareto Principle 123

Markov Processes 124

Srinivasa Ramanujan 125

G.H. Hardy 126

Emmy Noether 127

Fractals 128

Ronald Fisher 129

P-Values 130

Modern Statistical Inference 131

Game Theory 132

Traveling Salesman Problem 133

Ramsey Theory 134

John von Neumann 135

Gödel's Incompleteness Theorem 136

Alan Turing 137

Benford's Law 138

Optimization 139

Kurt Gödel 140

Artificial Neural Networks 141

Information Theory 142

Arrow's impossibility Theorem 143

Joan Clarke 144

Extreme Value Theory 145

Olga Ladyzhenskaya 146

Small World Networks 147

Cellular Automata 148

Nontransitive Dice 149

Katherine Johnson 150

Benoit Mandelbrot 151

Pvs NP 152

Chaos Theory 153

Public-Key Cryptography 154

Quantitative Finance 155

Roger Penrose 156

Wallpaper Groups 157

John Nash 158

Edward Thorp 159

Michael Atiyah 160

Paul Erdös 161

Stephen Wolfram 162

Grigori Yakovlevich Perelman 163

Quantum Algorithms 164

Andrew Wiles 165

Sports Analytics 166

Maryam Mirzakhani 167

Terence Tao 168

Karen Uhlenbeck 169

Data Science 170

Goldbach Conjecture 171

Glossary 172

Further Reading 175