This book provides an account of those parts of contemporary set theory of direct relevance to other areas of pure mathematics. The intended reader is either an advanced-level mathematics undergraduate, a beginning graduate student in mathematics, or an accomplished mathematician who desires or needs some familiarity with modern set theory. The book is written in a fairly easy-going style, with minimal formalism. In Chapter 1, the basic principles of set theory are developed in a 'naive' manner. Here the notions of 'set', 'union', 'intersection', 'power set', 'rela tion', 'function', etc., are defined and discussed. One assumption in writing Chapter 1 has been that, whereas the reader may have met all of these 1 concepts before and be familiar with their usage, she may not have con sidered the various notions as forming part of the continuous development of a pure subject (namely, set theory). Consequently, the presentation is at the same time rigorous and fast.
Author: Keith Devlin
Publisher: Springer Science & Business Media
Publish Date: 1994-06-24
Edition: 2nd
ISBN: 0387940944
ISBN 13: 9780387940946
Dimension: Length: 6.14 inches, Width: 0.5 inches, Height: 9.21 inches
Weight: Weight: 2.314853751 pounds
Binding: Hardcover
Pages: 194
This book provides an account of those parts of contemporary set theory of direct relevance to other areas of pure mathematics. The intended reader is either an advanced-level mathematics undergraduate, a beginning graduate student in mathematics, or an accomplished mathematician who desires or needs some familiarity with modern set theory. The book is written in a fairly easy-going style, with minimal formalism. In Chapter 1, the basic principles of set theory are developed in a 'naive' manner. Here the notions of 'set', 'union', 'intersection', 'power set', 'rela tion', 'function', etc., are defined and discussed. One assumption in writing Chapter 1 has been that, whereas the reader may have met all of these 1 concepts before and be familiar with their usage, she may not have con sidered the various notions as forming part of the continuous development of a pure subject (namely, set theory). Consequently, the presentation is at the same time rigorous and fast.
Author: Keith Devlin
Publisher: Springer Science & Business Media
Publish Date: 1994-06-24
Edition: 2nd
ISBN: 0387940944
ISBN 13: 9780387940946
Dimension: Length: 6.14 inches, Width: 0.5 inches, Height: 9.21 inches
Weight: Weight: 2.314853751 pounds
Binding: Hardcover
Pages: 194