Naive Set Theory
暫譯: 天真的集合論
Halmos, P. R.
- 出版商: Springer
- 出版日期: 1998-01-16
- 售價: $4,160
- 貴賓價: 9.5 折 $3,952
- 語言: 英文
- 頁數: 104
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 0387900926
- ISBN-13: 9780387900926
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相關分類:
離散數學 Discrete-mathematics
海外代購書籍(需單獨結帳)
商品描述
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.
商品描述(中文翻譯)
每位數學家都同意,每位數學家必須了解一些集合論;爭論開始於如何決定「一些」的具體數量。本書包含了我對這個問題的回答。這本書的目的是告訴進階數學的初學者有關集合論的基本事實,並以最少的哲學討論和邏輯形式主義來達成。整體觀點是從一位渴望研究群、積分或流形的潛在數學家的角度出發。從這個角度來看,本書的概念和方法僅僅是一些標準的數學工具;專家學者在這裡不會發現任何新內容。學術性的書目信用和參考文獻在這本純粹的說明性書籍中顯得不合適。然而,對於那些因為自身興趣而對集合論產生興趣的學生來說,應該知道這個主題的內容遠不止於本書所涵蓋的。集合論智慧中最美麗的來源之一仍然是 Hausdorff 的《集合論》。最近一部非常易讀的文獻補充是 Suppes 的《公理集合論》,該書擁有廣泛且最新的書目。