Foundations of Mathematical Analysis - Couverture rigide

Truss, J. K.

 
9780198533757: Foundations of Mathematical Analysis
Couverture rigide
ISBN 10 : 0198533756 ISBN 13 : 9780198533757
Editeur : Oxford University Press, 1997

Synopsis

Foundations of Mathematical Analysis covers a wide variety of topics that will be of great interest to students of pure mathematics or mathematics and philosophy. Aimed principally at postgraduates and well-motivated undergraduates, its primary concern is a discussion of the fundamental number systems, $\Bbb N$, $\Bbb Z$, $\Bbb Q$, $\Bbb R$, and $\Bbb C$, in the context of the branches of mathematics for which they form a starting point; for example, a study of the natural numbers leads on to logic (via G\"odel's theorems), and of the real numbers (as constructed by Cauchy) to metric spaces and topology. Prof. Truss offers a refreshingly original approach to these matters, presenting standard material in new ways, and incorporating less mainstream topics such as long real and rational lines and the p-adic numbers. With a discussion of constructivism and independence questions including Suslin's problem and the continuum hypothesis, Prof. Truss completes a wide-ranging consideration of the development of mathematics from the very beginning, concentrating on the foundational issues particularly related to analysis. The book is presented in such a manner as to be accessible to non-specialists.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

Foundations of Mathematical Analysis covers a wide variety of topics that will be of great interest to students of pure mathematics or mathematics and philosophy. Aimed principally at postgraduates and well-motivated undergraduates, its primary concern is a discussion of the fundamental number systems, $\Bbb N$, $\Bbb Z$, $\Bbb Q$, $\Bbb R$, and $\Bbb C$, in the context of the branches of mathematics for which they form a starting point; for example, a study of the natural numbers leads on to logic (via G\"odel's theorems), and of the real numbers (as constructed by Cauchy) to metric spaces and topology. Prof. Truss offers a refreshingly original approach to these matters, presenting standard material in new ways, and incorporating less mainstream topics such as long real and rational lines and the p-adic numbers. With a discussion of constructivism and independence questions including Suslin's problem and the continuum hypothesis, Prof. Truss completes a wide-ranging consideration of the development of mathematics from the very beginning, concentrating on the foundational issues particularly related to analysis. The book is presented in such a manner as to be accessible to non-specialists.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Oxford University Press
Date d'édition
1997
Langue
anglais
ISBN 10 
0198533756
ISBN 13 
9780198533757
Reliure
Relié
Nombre de pages
362
Coordonnées du fabricant
non disponible
Personne responsable
Ufficio Anagrafiche Messaggerie
ufficio.anagrafiche@meli.it

Via Verdi, 8
Assago Milano
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Italie