Infinity: A Very Short Introduction

Language: English

Published by Oxford University Press, United Kingdom, Oxford, 2017

0198755236 / 9780198755234

Series: Book 192 of 406 - Very Short Introductions

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Infinity is an intriguing topic, with connections to religion, philosophy, metaphysics, logic, and physics as well as mathematics. Its history goes back to ancient times, with especially important contributions from Euclid, Aristotle, Eudoxus, and Archimedes. The infinitely large (infinite) is intimately related to the infinitely small (infinitesimal). Cosmologists consider sweeping questions about whether space and time are infinite. Philosophers and mathematicians ranging from Zeno to Russell have posed numerous paradoxes about infinity and infinitesimals. Many vital areas of mathematics rest upon some version of infinity. The most obvious, and the first context in which major new techniques depended on formulating infinite processes, is calculus. But there are many others, for example Fourier analysis and fractals. In this Very Short Introduction, Ian Stewart discusses infinity in mathematics while also drawing in the various other aspects of infinity and explaining some of the major problems and insights arising from this concept. He argues that working with infinity is not just an abstract, intellectual exercise but that it is instead a concept with important practical everyday applications, and considers how mathematicians use infinity and infinitesimals to answer questions or supply techniques that do not appear to involve the infinite. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.

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Title
Infinity: A Very Short Introduction
Author
Ian Stewart (Emeritus Professor of Mathematics, University of Warwick)
Publisher
Oxford University Press, United Kingdom, Oxford
Publication year
2017
Condition
Fine
Binding
Paperback
Language
English
ISBN 10
0198755236
ISBN 13
9780198755234
Item weight
200 grams
Dimensions
113.0 x 174.0
Series
Book 192 of 406: Very Short Introductions

WorldofBooks

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