Where Do Numbers Come From? - Couverture rigide

Körner, T. W.

Couverture rigide

ISBN 10 : 1108488064 ISBN 13 : 9781108488068

Editeur : Cambridge University Press, 2019

Synopsis

Why do we need the real numbers? How should we construct them? These questions arose in the nineteenth century, along with the ideas and techniques needed to address them. Nowadays it is commonplace for apprentice mathematicians to hear 'we shall assume the standard properties of the real numbers' as part of their training. But exactly what are those properties? And why can we assume them? This book is clearly and entertainingly written for those students, with historical asides and exercises to foster understanding. Starting with the natural (counting) numbers and then looking at the rational numbers (fractions) and negative numbers, the author builds to a careful construction of the real numbers followed by the complex numbers, leaving the reader fully equipped with all the number systems required by modern mathematical analysis. Additional chapters on polynomials and quarternions provide further context for any reader wanting to delve deeper.

A propos du livre

À propos de l'auteur

T. W. Körner is Emeritus Professor of Fourier Analysis at the University of Cambridge. His previous books include The Pleasures of Counting (Cambridge, 1996) and Fourier Analysis (Cambridge, 1988).

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2019
• Langue: anglais
• ISBN 10: 1108488064
• ISBN 13: 9781108488068
• Reliure: Relié
• Numéro d'édition: 1
• Nombre de pages: 270
• Coordonnées du fabricant: Cambridge University Press; https://www.cambridge.org/; ; Via Honduras,15; Pomezia; Italia; 71; Italie