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<図書>
Convex analysis and nonlinear geometric elliptic equations

責任表示 Ilya J. Bakelman
データ種別 図書
出版情報 Berlin ; New York : Springer-Verlag , c1994
本文言語 英語
大きさ xxi, 510 p. : ill. ; 25 cm
概要 This book is suitable as a graduate text and reference work in the areas of convex functions and bodies, global geometric problems, and nonlinear elliptic boundary value problems with special emphasi... on Monge-Ampere equations. The theory of convex functions and bodies is presented first so that it can be used to study the other areas. In fact, the author makes a point of emphasizing the interrelationship of all the areas mentioned above. This enables the reader to obtain a working knowledge of the material. Specific topics of the book include the Minkowski problem, mixed volumes of convex bodies, the Brunn-Minkowski inequalities, geometric maximum principles, the normal mapping of convex hypersurfaces, the R-curvature of convex functions.
This book is suitable as a graduate text and reference work in the areas of convex functions and bodies, global geometric problems, and nonlinear elliptic boundary value problems with special emphasis on Monge-Ampere equations. The theory of convex functions and bodies is presented first so that it can be used to study the other areas. In fact, the author makes a point of emphasizing the interrelationship of all the areas mentioned above. This enables the reader to obtain a working knowledge of the material. Specific topics of the book include the Minkowski problem, mixed volumes of convex bodies, the Brunn-Minkowski inequalities, geometric maximum principles, the normal mapping of convex hypersurfaces, the R-curvature of convex functions.
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所蔵情報



理系図3F 数理独自 BAKE/10/2 1994
068222194007842


芸工図 2F 書架 413.5/B15 1994
072032194008671

書誌詳細

一般注記 Includes bibliographical references and index
著者標目 *Bakel′man, I. I︠A︡. (Ilʹi︠a︡ I︠A︡kovlevich), 1928-
件 名 LCSH:Convex functions
LCSH:Convex sets
LCSH:Differential equations, Elliptic
LCSH:Monge-Ampère equations
分 類 LCC:QA331.5
DC20:515/.8
書誌ID 1000036118
ISBN 3540136207
NCID BA23976185
巻冊次 : Berlin ; ISBN:3540136207
: New York ; ISBN:0387136207
登録日 2009.09.10
更新日 2009.11.02

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