Infinity: A Very Short Introduction (Very Short Introductions) - Softcover

Stewart, Ian

Softcover

ISBN 10: 0198755236 ISBN 13: 9780198755234

Verlag: Oxford University Press, 2017

Inhaltsangabe

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.

Über diesen Titel

Über die Autorin bzw. den Autor

Professor Ian Stewart of Warwick University is a well-known and highly successful writer on mathematics and its applications. He has authored over 80 books including From Here to Infinity (OUP, 1996), Does God Play Dice? (Penguin, 1997), Symmetry: A Very Short Introduction (OUP, 2013), and the bestselling series The Science of Discworld I, II, III, and IV with Terry Pratchett and Jack Cohen.

Details zur Ausgabe

• Verlag: Oxford University Press
• Erscheinungsdatum: 2017
• Sprache: Englisch
• ISBN 10: 0198755236
• ISBN 13: 9780198755234
• Einband: Taschenbuch
• Anzahl der Seiten: 160
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Penguin Random House Ireland Limited; productsafety@penguin.co.uk; ; Morrison Chambers, 32 Nassau Street; Dublin; Irland