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.
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Hardcover. Zustand: As New. 2nd Edition. 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. Bestandsnummer des Verkäufers 003019
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Anbieter: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Deutschland
Buch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. Englisch. Bestandsnummer des Verkäufers 9780444860170
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Hardcover. Zustand: Brand New. 7th revised edition. 650 pages. 9.50x7.00x1.00 inches. In Stock. Bestandsnummer des Verkäufers __0444860177
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Karton Karton. Zustand: Sehr gut. Revised Edition;. 630 Seiten, mit Abbildungen, Zust: Gutes Exemplar. Schneller Versand und persönlicher Service - jedes Buch händisch geprüft und beschrieben - aus unserem Familienbetrieb seit über 25 Jahren. Eine Rechnung mit ausgewiesener Mehrwertsteuer liegt jeder unserer Lieferungen bei. Wir versenden mit der deutschen Post. Sprache: Englisch Gewicht in Gramm: 1270. Bestandsnummer des Verkäufers 361277
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