Description
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.
Contents 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.
Reviews
..This book belongs on the shelf of every mathematically inclined physicist and every mathematician who is interested in physics...
Physics Today 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.
Physikalische Berichte ... 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...
Bibliographic & ordering Information
Hardbound, 650 pages, publication date: JAN-1982 ISBN: 0-444-86017-7
Imprint: JAI
Price and Ordering
Price: EUR 62 USD 71.95
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