Naive Set Theory - Couverture souple

Halmos, P. R.

Couverture souple

ISBN 10 : 0387901043 ISBN 13 : 9780387901046

Editeur : Springer, 2014

Synopsis

Every mathematician agrees that every mathematician must know some set theory; the disagreement begins in trying to decide how much is some. This book contains my answer to that question. The purpose of the book is to tell the beginning student of advanced mathematics the basic set- theoretic facts of life, and to do so with the minimum of philosophical discourse and logical formalism. The point of view throughout is that of a prospective mathematician anxious to study groups, or integrals, or manifolds. From this point of view the concepts and methods of this book are merely some of the standard mathematical tools; the expert specialist will find nothing new here. Scholarly bibliographical credits and references are out of place in a purely expository book such as this one. The student who gets interested in set theory for its own sake should know, however, that there is much more to the subject than there is in this book. One of the most beautiful sources of set-theoretic wisdom is still Hausdorff's Set theory. A recent and highly readable addition to the literature, with an extensive and up-to-date bibliography, is Axiomatic set theory by Suppes.

A propos du livre

Présentation de l'éditeur

This classic by one of the twentieth century's most prominent mathematicians offers a concise introduction to set theory. Suitable for advanced undergraduates and graduate students in mathematics, it employs the language and notation of informal mathematics. There are very few displayed theorems; most of the facts are stated in simple terms, followed by a sketch of the proof. Only a few exercises are designated as such since the book itself is an ongoing series of exercises with hints. The treatment covers the basic concepts of set theory, cardinal numbers, transfinite methods, and a good deal more in25 brief chapters.
"This book is a very specialized but broadly useful introduction to set theory. It is aimed at 'the beginning student of advanced mathematics' who wants to understand the set-theoretic underpinnings of the mathematics he already knows or will learn soon. It is also useful to the professional mathematician who knew these underpinnings at one time but has now forgotten exactly how they go. A good reference for how set theory is used in other parts of mathematics." Allen Stenger, The Mathematical Association of America, September, 2011."

Revue de presse

From the reviews:

This book is a very specialized but broadly useful introduction to set theory. It is aimed at the beginning student of advanced mathematics ... who wants to understand the set-theoretic underpinnings of the mathematics he already knows or will learn soon. It is also useful to the professional mathematician who knew these underpinnings at one time but has now forgotten exactly how they go. ... A good reference for how set theory is used in other parts of mathematics ... . (Allen Stenger, The Mathematical Association of America, September, 2011)

--Allen Stenger, The Mathematical Association of America, September, 2011)

Détails de l'édition

• Éditeur: Springer
• Date d'édition: 2014
• ISBN 10: 0387901043
• ISBN 13: 9780387901046
• Reliure: Broché
• Langue: anglais
• Nombre de pages: 116
• Coordonnées du fabricant: non disponible