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[ 洋図書 ] Advanced calculus /

Lynn Harold Loomis, Shlomo Sternberg. -- World Scientific Pub. Co., -- c2014. -- Rev. ed.

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ISBN 9814583936 (paperback)
ISBN13桁 9789814583930 (paperback)
テキストの言語 英語                  
分類：NDC10版 413.3
個人著者標目 Loomis, Lynn H.,
生没年等 1915-1994,
本タイトル Advanced calculus /
著者名 Lynn Harold Loomis, Shlomo Sternberg.
版表示 Rev. ed.
出版地・頒布地 Hackensack ;
出版者・頒布者名 World Scientific Pub. Co.,
出版年・頒布年 c2014.
数量 580 p. :
他の形態的事項 ill. ;
大きさ 26 cm.
書誌注記 Includes bibliographical references (p. 569-571) and index.
要約、抄録、注釈等 An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades. This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis. The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives. In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
著者標目 Sternberg, Shlomo,
一般件名 Calculus.
資料情報1 『Advanced calculus /』Rev. ed.　Lynn Harold Loomis, Shlomo Sternberg.　World Scientific Pub. Co.,　c2014. （所蔵館：中央　 請求記号：F/413.3/L86/A　 資料コード：7104022164）
URL https://catalog.library.metro.tokyo.lg.jp/winj/opac/switch-detail.do?lang=ja&bibid=1352010850

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