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<図書>
Differential forms and applications

責任表示 Manfredo P. do Carmo
シリーズ Universitext
データ種別 図書
出版者 Berlin ; New York : Springer-Verlag
出版年 c1994
本文言語 英語
大きさ viii, 118 p. : 18 ill. ; 24 cm
概要 An application of differential forms for the study of some local and global aspects of the differential geometry of surfaces. Differential forms are introduced in a simple way that will make them att...active to "users" of mathematics. A brief and elementary introduction to differentiable manifolds is given so that the main theorem, namely Stokes' theorem, can be presented in its natural setting. The applications consist in developing the method of moving frames expounded by E. Cartan to study the local differential geometry of immersed surfaces in R3 as well as the intrinsic geometry of surfaces. This is then collated in the last chapter to present Chern's proof of the Gauss-Bonnet theorem for compact surfaces. 続きを見る
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所蔵情報


理系図3F 数理独自 068222194007346 CARM/40/4 1994

理系図 自動書庫 068252194006374 103/CAR 1994
: gw 理系図3F 数理独自 023212000005074 CARM/40/4A 1994

書誌詳細

別書名 原タイトル:Formas diferenciais e aplicações
一般注記 Originally published by IMPA [Institudo de Matematica Pura e Aplicada], Rio de Janeiro, in 1971
Includes bibliographical references and index
著者標目 *Carmo, Manfredo Perdigão do
件 名 LCSH:Differential forms
分 類 NDC8:413.3
LCC:QA381
DC20:515/.37
書誌ID 1000033505
ISBN 3540576185
NCID BA23520535
巻冊次 : gw ; ISBN:3540576185
: us ; ISBN:0387576185
登録日 2009.09.10
更新日 2017.02.18

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