Reaching for the Extreme

Name: Reaching for the Extreme
Brand: Profile Books
Price: 42.75 AUD
Availability: PreOrder

How the Quest for the Biggest, Fewest and Weirdest Makes Maths

By: Ian Stewart

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Hardcover | 19 May 2026

At a Glance

Hardcover
352 Pages

Dimensions(cm)
23.4 x 15.3

Hardcover

RRP $49.99

$42.75

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Available: 19th May 2026

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Many of the deepest and most important areas of mathematics have arisen from questions about extremes - shortest lines, smallest areas, densest packings, fewest colours. Mathematicians have been grappling with such issues for centuries, and some go back thousands of years. The isoperimetric problem, for example - which asks for the shortest path enclosing a given area - dates back to the mythological founding of the city of Carthage. By contrast, it was only in 2017 that the densest ways to pack identical spheres into a space of 24 dimensions was finally proved. Many of these problems are more than mere thought experiments. The origins of the Travelling Salesperson Problem - find the shortest route that visits a given set of cities - are self-explanatory. The Plateau problem, about the geometry of soap bubbles, now has applications as diverse as cosmology and biological development. Reaching for the Extreme tells the stories of these and other similar problems: their historical roots, the struggles to solve them, and the uses that can be made of the results, when such uses exist.

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