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<図書>
Handbook of analysis and its foundations

責任表示 Eric Schechter
データ種別 図書
出版者 San Diego, CA ; Tokyo : Academic Press
出版年 c1997
本文言語 英語
大きさ xxii, 883 p. : ill. ; 25 cm
概要 Handbook of Analysis and Its Foundations is a self-contained and unified handbook on mathematical analysis and its foundations. Intended as a self-study guide for advanced undergraduates and beginning...graduatestudents in mathematics and a reference for more advanced mathematicians, this highly readable book provides broader coverage than competing texts in the area. Handbook of Analysis and Its Foundations provides an introduction to a wide range of topics, including: algebra; topology; normed spaces; integration theory; topological vector spaces; and differential equations. The author effectively demonstrates the relationships between these topics and includes a few chapters on set theory and logic to explain the lack of examples for classical pathological objects whose existence proofs are not constructive. More complete than any other book on the subject, students will find this to be an invaluable handbook. For more information on this book, see http://math.vanderbilt.edu/ Key Features * Covers some hard-to-find results including: * Bessagas and Meyers converses of the Contraction Fixed Point Theorem * Redefinition of subnets by Aarnes and Andenaes * Ghermans characterization of topological convergences * Neumanns nonlinear Closed Graph Theorem * van Maarens geometry-free version of Sperners Lemma * Includes a few advanced topics in functional analysis * Features all areas of the foundations of analysis except geometry Combines material usually found in many different sources, making this unified treatment more convenient for the user * Has its own webpage: http://math.vanderbilt.edu/ 続きを見る
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所蔵情報


理系図3F 数理独自 023211996009650 SCHE/15/1 1997

理系図 自動書庫 023211999000207 104/SCH 1997

書誌詳細

一般注記 Includes bibliographical references (p. 839-855) and index
著者標目 *Schechter, Eric, 1950-
件 名 LCSH:Mathematical analysis
分 類 LCC:QA300
DC20:515
書誌ID 1000008026
ISBN 0126227608
NCID BA29235600
巻冊次 ISBN:0126227608
登録日 1997.03.21
更新日 2017.02.18

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