This book looks in particular at "Greens functions" and the field of chaotic motion. It attempts to explain these, and other mathematical problems, with the minimum of specialized jargon, and to make the subject more accessible.
Introduction 2 The Fibonacci family and friends 3 Rising and falling with the hailstone numbers 4 Lies, damned lies, and statistics 5 The pluperfect square; an ultimate patio decor 6 The trouble with Euclid's fifth 7 Clock numbers; an invention of the master 8 Cryptography; the science of secret writing 9 Numbers and national security 10 Are four colours enough? 11 Rulers, dominoes, and Professor Golomb 12 What on earth is an NP problem 13 How many balls can you shake into a can? 14 In-between dimensions 15 The road to chaos 16 Super-mathematics and the monster