Analysis, Manifolds and Physics, Part I: Basics (Revised Edition)
Language: English
Published by North-Holland, Amsterdam Oxford New York Tokyo, 1989
- Hardcover
- Used
Seller: Theoria Books, Andover, MA, U.S.A.Theoria Books
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Condition: Used - As new
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630 pp., xx. Stated: "First published 1977, Revised edition April 1982; Reprinted 1982, 1983, 1985 (with minor corrections), 1987, 1989 (with minor corrections)". Yellow linen with dark brown lettering on front cover and spine. Following the Introduction by Authors and a Preface to the Second Edition, Contents divided into 7 Sections: I. REVIEW OF FUNDAMENTAL NOTIONS OF ANALYSIS (A) Set Theory, Definitions; (B) Algebraic Structures, Definitions; (C) Topology; (D) Integration; (E) KeyTheorems in Linear Functional analysis; II. DIFFERENTIAL CALCULUS ON BANACH SPACES [ETC. (A) - (D)]; III. DIFFERENTIABLE MANIFOLDS, FINITE DIMENSIONAL CASE (A) Definitions; (B) Vector Fields; Tensor Fields; (C) Groups of Transformations; (D) Lie Groups; Problems and Exercises [6 Problems]; IV. INTEGRATION ON MANIFOLDS (A) Exterior Differential Forms; (B) Integration; (C) Exterior Differential Systems; Problems and Exercises [7]; V. RIEMANNIAN MANIFOLDS; KAHLERIAN MANIFOLDS (A) The Riemannian Structure; (b) Linear Connections; (C) Geodesics; (D) Almost Complex and Kahlerian Manifolds; Vbis CONNECTIONS ON A PRINCIPAL FIBRE BUNDLE (A) Connections on a Principal Fibre Bundle; (B) Holonomy; (C) Characteristic Classes and Invariant Curvature Integrals; Problems and Exercises [4]; I. DISTRIBUTIONS (A) Test Functions; (B) Distributions; (C) Sobolev Spaces and Partial Differential Equations; Problems and Exercises [13]; VII. DIFFERENTIABLE MANIFOLDS, INFINITE DIMENSIONAL CASE (A) Infinite Dimensional Manifolds; (B) Theory of Degree; Leray-Schauder Theory; (C) Morse Theory; (D) Cylindrical Measures, Wiener Integral; Problems and Exercises [8]; References, pp. 603-609; Symbols, pp. 611-615; Index, pp. 617-656. NO JACKET. Looks UNREAD, UNUSED. Tight binding; sharp corners; NO rubbing wear; NO remainder marks; NO previous owner names. Clean text. …
Seller Inventory # 003019
- Title
- Analysis, Manifolds and Physics, Part I: Basics (Revised Edition)
- Author
- Choquet-Bruhat, Yvonne, Cecile DeWitt-Morette, and Margaret Dillard-Bleick
- Publisher
- North-Holland, Amsterdam Oxford New York Tokyo
- Publication year
- 1989
- Condition
- As New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0444860177
- ISBN 13
- 9780444860170
- Edition
- 2nd Edition
- Dimensions
- 8vo - over 7¾ - 9¾" tall
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.
"Synopsis" may belong to another edition of this title.
Review
..This book belongs on the shelf of every mathematically inclined physicist and every mathematician who is interested in physics...
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
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Theoria Books
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