Analysis, Manifolds and Physics Revised Edition

AvYvonne Choquet-Bruhat,Cecile DeWitt-Morette

Inbunden, Engelska, 1982

Del i serien Analysis, Manifolds and Physics

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Beskrivning

This reference book, which has found wide use as a text, provides an answer to the needs of graduate physical mathematics students and their teachers. The present edition is a thorough revision of the first, including a new chapter entitled ``Connections on Principle Fibre Bundles'' which includes sections on holonomy, characteristic classes, invariant curvature integrals and problems on the geometry of gauge fields, monopoles, instantons, spin structure and spin connections. Many paragraphs have been rewritten, and examples and exercises added to ease the study of several chapters. The index includes over 130 entries.

Produktinformation

Utgivningsdatum:1982-05-01
Mått:165 x 240 x 44 mm
Vikt:1 500 g
Format:Inbunden
Språk:Engelska
Serie:Analysis, Manifolds and Physics
Antal sidor:656
Upplaga:2
Förlag:Elsevier Science
ISBN:9780444860170

Utforska kategorier

Matematik inom Naturvetenskap och teknik
Fysik inom Naturvetenskap och teknik

Recensioner i media

"The high quality of French mathematics, combined in this volume with the wide professional expertise of the authors in mathematical physics, has resulted in a work of great value. ... I can wholeheartedly recommend it to anyone who aspires to participate in the exciting developments in modern elementary particle physics and relativity." --Physics Today"The scope of the coverage is unusually wide and the material treated with more rigour than is customary in a mathematical physics text, because only then can the results be used correctly and fruitfully..." --Physikalische Berichte

Innehållsförteckning

Preface. Chapters: I. Review of fundamental notions of analysis. II. Differential calculus on Banach spaces. III. Differentiable manifolds, finite dimensional case. IV. Integration on manifolds. V. Riemannian manifolds. Kählerian manifolds. V bis. Connections on a principle fibre bundle. VI. Distributions. VII. Differentiable manifolds, infinite dimensional case. References. Symbols. Index.