From Here to Infinity Rev Sub Edition

by Ian Stewart (Author)

3 customer reviews

ISBN-13: 978-0192832023

ISBN-10: 0192832026

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In this retitled and revised edition of The Problems of Mathematics, renowned mathematician Ian Stewart gives math buffs and non-technical readers--as well as students of the subject--the perfect guide to today's mathematics. This challenging and fascinating book includes three new chapters that cover the most recent developments in the mathematics field, including one on Kepler's sphere-packing problem, to which a solution has been at last announced after a wait of 380 years.
Stewart, a particularly gifted mathematician and writer, shows us not only that math can be explained in everyday language, but that it can be downright fun as well. Puzzle solvers especially will delight in accounts of puzzles like Fermat's famous theorem, manifolds (a kind of mathematical origami in many dimensions), and the patterns in chaos. And what reader wouldn't want probability theory explained by demonstrating how to maximize one's lottery winnings?
According to From Here to Infinity, good mathematics has an air of economy and an element of surprise. One could easily make the same claim for this instructive, amusing, and sometimes mind-boggling book.

From Here to Infinity

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Product Details

Paperback: 336 pages
Publisher: Oxford Paperbacks; Rev Sub edition (May 23, 1996)
Language: English
ISBN-10: 0192832026
ISBN-13: 978-0192832023
Product Dimensions: 7.7 x 0.8 x 5.1 inches
Shipping Weight: 8.5 ounces (View shipping rates and policies)
Average Customer Review: 5.0 out of 5 stars See all reviews (3 customer reviews)
Amazon Best Sellers Rank: #411,543 in Books (See Top 100 in Books)
- #334 in Books > Science & Math > Mathematics > History
- #542 in Books > Textbooks > Humanities > Literature > American Literature
- #1167 in Books > Literature & Fiction > History & Criticism > Regional & Cultural > United States

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43 of 44 people found the following review helpful

A detailed book designed to inspire.

By Ian Howlett on June 28, 1998

Format: Paperback

In another of his books designed to make mathematics popular, Ian Stewart takes us through some of the latest advances in mathematics. He gives a history of some of the world's finest mathematicians and trickiest problems before showing how they can (or can't) be solved. This book is not confined to theory though; the author applies the concepts he has described to such topics as computer public/private key encryption (as used in PGP) and the lottery to show how apparently abstract theory has a valid use, even if that use is discovered many years after the original theory.
The book goes into detail about each of the author's chosen topics. Whilst this detail is sometimes too complex for the layman to understand, it is useful for future reference and can provide ideas for some interesting computer programming exercises. The material is presented in such a manner that skipping some of the more technical maths doesn't interrupt the flow of the information.
The book represents great value for money. There is a lot of content here, and each chapter is relatively self-contained so that the work does not need to be read in order but can be dipped into. Good use is made of cross-referencing between the chapters though, which really helps to bind the book together.
The author makes further research beyond the scope of the book easily possible by giving names of mathematicians and scientists responsible for discoveries, along with a list of suggested material for further reading at the back of the book. There is also an index, which is useful for a volume of this size.
As well as being interesting from a mathematical point of view, the book is genuinely entertaining, which keeps the pages turning.Read more ›

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28 of 28 people found the following review helpful

Thrilling view of Cutting Edge mathematics

By T. F. Mabbott on April 10, 2000

Format: Paperback

This is Stewart's finest popularisation. My favourite of all time (I have three well-thumbed copies in two different editions).
Why is this book so special? Well, firstly it benefits from Stewart's accomplished story telling and crystal clear mathematical explanations. Secondly, because it looks at the *unsolved* problems at the cutting edge of mathematics, whereas all his other texts cover either recreational math, or well-known fully-solved theories.
Each chapter studies a different problem, starting with the roots of the history of the topic; covering successes and embarrassing failures in the development of the subject; introducing personalities and concluding with a state-of-the art review, where he conveys the surprise and excitement of new discovery. Thrillingingly Stewart reports strange, glamorous and unexpected results from all areas of pure mathematics, and leaves us with an aching sense of mystery for those matters that still elude our grasp.
A total turn-on for the mathematically sensitive, this would be a special gift for an aspiring mathematician or a layman who has made good progress with the standard math popularisations.

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12 of 14 people found the following review helpful

A great 'survey of the ideas of cutting edge math' book!

By A Customer on October 31, 1999

Format: Paperback

Ian Stewarts book is a survey of the developments in mathematics over the last couple of years, allowing the reader to come to grips with cutting edge mathematics without the need to equip him or her -self with the technical apparatus normally required to cross this intellectual terrain. He does this by transmitting concepts intuitively and concisely, and keeping the text warm, lively and accessible. The book will appeal to the interested layperson, to someone who is interested in what mathematics is really about at the higher levels, and to undergraduate mathematics or science/engineering students who are wondering a bit about the horizons of the mathematics that they are interested in.

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