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<図書>
Ramified integrals, singularities, and lacunas

責任表示 by V.A. Vassiliev
シリーズ Mathematics and its applications ; v. 315
データ種別 図書
出版者 Dordrecht ; Boston : Kluwer Academic Publishers
出版年 c1995
本文言語 英語
大きさ xvii, 289 p. : ill. ; 25 cm
概要 Introduces the Picard-Lefschetz theory, which controls the ramifications and qualitative behavior of many important functions of partial differential equations and integral geometry, and reviews the f...ndamentals of singularity (mathematical catastrophe) theory, on which it is based. Then uses Picard-Lefschetz as a topological tool to investigate the analytic properties of three famous classes of functions: the volume functions, which appear in the Archimedes-Newton problem on integrable bodies; the Newton-Coulomb potentials; and the Green functions of hyperbolic equations as studied in the Hadamard-Pretrovskii-Atiyah-Bott-Garding lacuna theory. Assumes a familiarity with the analysis of differential forms and homology theory. Annotation copyright by Book News, Inc., Portland, OR続きを見る

所蔵情報


理系図3F 数理独自 068222194007601 VASS/10/2 1995

理系図 自動書庫 068252195001870 103/VAS 1995

書誌詳細

一般注記 Includes bibliography (p. 275-286) and subject index
著者標目 *Vasilʹev, V. A., 1956-
件 名 LCSH:Integral geometry
LCSH:Integral transforms
分 類 LCC:QA672
DC20:516.3/62
書誌ID 1000134474
ISBN 0792331931
NCID BA24426882
巻冊次 ISBN:0792331931
登録日 2009.09.11
更新日 2009.09.17

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