Sum Stories: Equations and Their Origins

by Robin Wilson

Overview

Can one prove that 1 + 1 = 2? How long is the coastline of Britain? Which US president proved Pythagoras' theorem on right-angled triangles? Who originated the quadratic equation we learned at school? In how many ways can you tile your bathroom? Is there a formula for prime numbers? How often are two winning lottery numbers consecutive? Who was the witch of Agnesi? What is 'the most important theorem in mathematics'? Who scratched mathematical equations on a Dublin bridge? What is a 'space-filling curve'? Must all infinities be the same size?

These and many other questions are answered in this book which presents eighteen 'Stories' featuring famous mathematical equations and their historical development. The equations arise from geometry, arithmetic, algebra, calculus, combinatorics, number theory, and mathematical logic, and range over 4,000 years from early counting and circle measurement via Renaissance algebra to fractal geometry, and from the geometry of the ancient Greeks via the development of calculus to Boolean algebra and computing. The Stories are well illustrated with historical artefacts and explanatory diagrams.

Presented in a straightforward, intelligible, and entertaining manner, Sum Stories is written for general readers of all ages with an interest in mathematics and its historical development.

Product Details

ISBN-13:	9780199607907
Publisher:	Oxford University Press
Publication date:	07/21/2025
Pages:	368
Product dimensions:	5.67(w) x 8.78(h) x 0.98(d)

About the Author

Robin Wilson, Emeritus Professor of Pure Mathematics, The Open University

Robin Wilson is Emeritus Professor of Pure Mathematics at the Open University, Emeritus Professor of Geometry at Gresham College, London, and a former Fellow of Keble College, Oxford University. A former President of the British Society for the History of Mathematics, he has written and edited over 50 books on the history of mathematics (including Lewis Carroll in Numberland, 2009) and on graph theory and combinatorics (including Combinatorics: A Very Short Introduction, OUP 2016, and Four Colours Suffice, 2003). Involved with the popularization and communication of mathematics and its history, he has been awarded the Mathematical Association of America's Lester Ford Award and Pólya Prize for his 'outstanding expository writing'.

Table of Contents

Preface1. 1 + 1 = 22. α + β + γ = 180°3. a² + b² = c۸. C = 2πr and A = πr۹. ax² + bx + c = 06. φ² = φ + 17. x² = x8. Mₙ = 2ⁿ − 1 and Fₙ = 2²ˆⁿ + 19. C(n, r) = C(n − 1, r) + C(n − 1, r − 1)10. V − E + F = 211. y = mx + c12. ∫ f′(x) dx = f (x)13. log (a × b) = log a + log b14. i² = −115. eⁱˣ = cos x + i sin x16. 1 + 1/4 + 1/9 + 1/16 + 1/25 + . . . = π²/617. zₙ₊₁ = zₙ² + c18. ℵ₀ + ℵ₀ = ℵ₀