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8vo. softcover. [i-viii]. 410pp. some small neat pencil notes [about 12 lines in total] on six pages, crease to bottom front cover otherwise a good copy.
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From the rear cover
Manifolds, the higher-dimensional analogues of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology, and analysis, manifolds have also been applied to classical mechanics, general relativity, and quantum field theory. In this streamlined introduction to the subject, the theory of manifolds is presented with the aim of helping the reader achieve a rapid mastery of the essential topics. By the end of the book the reader should be able to compute, at least for simple spaces, one of the most basic topological invariants of a manifold, its de Rham cohomology. Along the way the reader acquires the knowledge and skills necessary for further study of geometry and topology. The second edition contains fifty pages of new material. Many passages have been rewritten, proofs simplified, and new examples and exercises added. This work may be used as a textbook for a one-semester graduate or advanced undergraduate course, as well as by students engaged in self-study. The requisite point-set topology is included in an appendix of twenty-five pages; other appendices review facts from real analysis and linear algebra. Hints and solutions are provided to many of the exercises and problems. Requiring only minimal undergraduate prerequisites, "An Introduction to Manifolds" is also an excellent foundation for the author's publication with Raoul Bott, "Differential Forms in Algebraic Topology."
Details
- Title An Introduction to Manifolds
- Author Loring W. Tu
- Binding Paperback
- Edition International Ed
- Pages 410
- Volumes 1
- Language ENG
- Publisher Springer
- Date 2010-10-06
- Illustrated Yes
- Features Bibliography, Illustrated, Index, Maps
- ISBN 9781441973993 / 1441973990
- Weight 1.35 lbs (0.61 kg)
- Dimensions 9.1 x 6.1 x 0.9 in (23.11 x 15.49 x 2.29 cm)
-
Themes
- Aspects (Academic): Science/Technology Aspects
- Library of Congress subjects Manifolds (Mathematics)
- Library of Congress Catalog Number 2010936466
- Dewey Decimal Code 516.07
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Paperback / softback. New. New Book; Fast Shipping from UK; Not signed; Not First Edition; Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology, and analysis, manifolds have also been applied to classical mechanics, gener
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