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<図書>
Modern geometric structures and fields

責任表示 S.P. Novikov, I.A. Taimanov ; translated by Dmitry Chibisov
シリーズ Graduate studies in mathematics ; v. 71
データ種別 図書
出版情報 Providence, R.I. : American Mathematical Society , c2006
本文言語 英語
大きさ xx, 633 p. : ill. ; 26 cm
概要 Russian academics Novikov and Taimanov present the basics of Riemannian geometry in its modern form as the geometry of differentiable manifolds and the most important structures on them. Coverage incl...des the basics of various geometries in linear spaces, the geometry of two-dimensional manifolds, basics of topology of smooth manifolds, Lie groups, classical tensor algebra and tensor calculus, differential forms theory, the Riemannian theory of connections and curvature, conformal geometry, complex geometry, Morse theory and Hamiltonian formalism, Poisson and Lagrange manifolds, multidimensional variational problems, and geometric fields in physics. Assumes prior completion of several basic undergraduate courses, such as advanced calculus, linear algebra, ordinary differential equations, and elements of topology. Translated from Russian by Dmitry Chibisov. Annotation ©2007 Book News, Inc., Portland, OR (booknews.com) 続きを見る
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理系図3F 数理独自 NOVI/20/4 2006
023212006005475

書誌詳細

別書名 原タイトル:Современные геометрические структуры и поля
ローマ字翻字タイトル:Sovremennye geometricheskie struktury i poli︠a︡
一般注記 Includes bibliographical references (p. 621-624) and index
著者標目 *Novikov, Sergeĭ Petrovich
Taĭmanov, I. A. (Iskander Asanovich), 1961-
Chibisov, D. M. (Dmitriĭ Mikhaĭlovich)
件 名 LCSH:Geometry, Riemannian
LCSH:Diffentiable manifolds
分 類 LCC:QA685
DC22:516.3/73
書誌ID 1001241594
ISBN 9780821839294
NCID BA79306981
巻冊次 ISBN:9780821839294 ; XISBN:0821839292
登録日 2009.09.18
更新日 2017.02.18