Naive Set Theory / by Paul R. Halmos
(Undergraduate Texts in Mathematics)
| データ種別 | 電子ブック |
|---|---|
| 出版者 | New York, NY : Springer New York : Imprint: Springer |
| 出版年 | 1974 |
| 本文言語 | 英語 |
| 大きさ | VII, 104 p. 1 illus : online resource |
書誌詳細を非表示
| 内容注記 | 1 The Axiom of Extension 2 The Axiom of Specification 3 Unordered Pairs 4 Unions and Intersections 5 Complements and Powers 6 Ordered Pairs 7 Relations 8 Functions 9 Families 10 Inverses and Composites 11 Numbers 12 The Peano Axioms 13 Arithmetic 14 Order 15 The Axiom of Choice 16 Zorn’s Lemma 17 Well Ordering 18 Transfinite Recursion 19 Ordinal Numbers 20 Sets of Ordinal Numbers 21 Ordinal Arithmetic 22 The Schröder-Bernstein Theorem 23 Countable Sets 24 Cardinal Arithmetic 25 Cardinal Numbers |
|---|---|
| 一般注記 | 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 |
| 著者標目 | *Halmos, Paul R. author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Mathematical logic FREE:Mathematics FREE:Mathematical Logic and Foundations |
| 分 類 | DC23:511.3 |
| 巻冊次 | ISBN:9781475716450 
|
| ISBN | 9781475716450 |
| URL | http://dx.doi.org/10.1007/978-1-4757-1645-0 |
目次／あらすじ