Written by physicists for physics students, this text introduces geometrical and topological methods in theoretical physics and applied mathematics. It assumes no detailed background in topology or geometry, and it emphasizes physical motivations. Topics include differential forms, homotopy, homology, cohomology, fiber bundles, connection and covariant derivatives, and Morse theory. "Thoroughly recommended." — Physics Bulletin. 1983 edition.
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"One of the most remarkable developments of the last decade in the penetration of topological concepts into theoretical physics. Homotopy groups and fibre bundles have become everyday working tools. Most of the textbooks on these subjects were written with pure mathematicians in mind, however, and are unnecessarily opaque to people with a less rigorous background. This concise introduction will make the subject much more accessible. With plenty of simple examples, it strikes just the right balance between unnecessary mathematical pedantry and arm-waving woolliness...it can be thoroughly recommended.
--T.W.B. Kibble, PHYSICS BULLETIN
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Book Description Academic Pr, 1983. Hardcover. Book Condition: New. Bookseller Inventory # DADAX0125140800
Book Description Academic Pr, 1983. Hardcover. Book Condition: New. Bookseller Inventory # P110125140800