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Reaching for the Extreme: How the Quest for the Biggest, Fewest and Weirdest Makes Maths

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A journey through some of mathematics' prickliest conundrums - and why they matter

FROM THE BESTSELLING AUTHOR OF PROFESSOR STEWART'S CABINET OF MATHEMATICAL CURIOSITIES

'Britain's most brilliant and prolific populariser of maths' ALEX BELLOS

What is the maximum land you can enclose inside a given border?

What is the minimum number of colours you can use to colour in a map so that no region shares a shade?

And how do you calculate the shortest route between two cities?

These questions may not sound related, but they have this in common: they all explore extremes: shortest lines, greatest areas, fewest colours. They have also given rise to some of the most important areas of mathematical study and have resulted in a myriad of applications - from the legend of Dido's founding of the city of Carthage to contemporary satellite navigation systems.

From soap bubbles to the cosmos, Britain's most beloved mathematician tells the fascinating stories of the people and ideas pushing the very bounds of mathematics - and the discoveries that have changed our lives.

Author: Stewart Ian
Publisher: PROFILE BOOKS
Pages: 352
ISBN: 9781805221593
Cover: Hardback
Edition Number: 1
Release Year: 2026

Ian Stewart is Professor Emeritus of Mathematics at the University of Warwick and the author of the bestseller Professor Stewart's Cabinet of Mathematics Curiosities. His recent books include Significant Figures, Incredible Numbers, Seventeen Equations that Changed the World, Professor Stewart's Casebook of Mathematical Mysteries and Calculating the Cosmos (all published by Profile). His app, Incredible Numbers, was published jointly by Profile and Touch Press in 2014. He is a Fellow of the Royal Society.

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