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<図書>
Calculus of variations

責任表示 Jürgen Jost and Xianqing Li-Jost
シリーズ Cambridge studies in advanced mathematics ; 64
データ種別 図書
出版者 Cambridge : Cambridge University Press
出版年 1998
本文言語 英語
大きさ xvi, 323 p. : ill. ; 24 cm
概要 This textbook on the calculus of variations leads the reader from the basics to modern aspects of the theory. One-dimensional problems and the classical issues such as Euler-Lagrange equations are tre...ted, as are Noether's theorem, Hamilton-Jacobi theory, and in particular geodesic lines, thereby developing some important geometric and topological aspects. The basic ideas of optimal control theory are also given. The second part of the book deals with multiple integrals. After a review of Lebesgue integration, Banach and Hilbert space theory and Sobolev spaces (with complete and detailed proofs), there is a treatment of the direct methods and the fundamental lower semicontinuity theorems. Subsequent chapters introduce the basic concepts of the modern calculus of variations, namely relaxation, Gamma convergence, bifurcation theory and minimax methods based on the Palais-Smale condition. The prerequisites are knowledge of the basic results from calculus of one and several variables. After having studied this book, the reader will be well equipped to read research papers in the calculus of variations.
This textbook on the calculus of variations covers from the basics to the modern aspects of the theory.
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所蔵情報


中央図 自動書庫 017211999012360 413.9/J 78/19991236 1998

理系図3F 数理独自 023211999000730 JOST/10/7 c1998
: hardback 理系図 自動書庫 027232003103072 104/JOS 1998

書誌詳細

一般注記 Includes index
著者標目 *Jost, Jürgen, 1956-
Li-Jost, Xianqing, 1956-
件 名 LCSH:Calculus of variations
分 類 LCC:QA315
DC21:515/.64
NDC8:413.9
書誌ID 1000278950
ISBN 0521642035
NCID BA39685487
巻冊次 : hardback ; ISBN:0521642035 ; XISBN:9780521642033
: pbk ; ISBN:9780521057127
登録日 2009.09.11
更新日 2009.09.18

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