An Introduction to Manifolds |
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| Author:
| Tu, Loring W. |
| Series title: | Universitext Ser. |
| ISBN: | 978-0-387-48098-5 |
| Publication Date: | Jan 2007 |
| Publisher: | Springer
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| Book Format: | Paperback |
| List Price: | AUD $93.95 |
Book Description:
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This textbook provides an introduction to manifolds to advanced undergraduate and graduate- level students in either a mathematics or physics field of study. It first presents the Euclidean space and point-set topology to create a smooth transition from undergraduate calculus. At a quick, yet accessible pace, coverage then continues to explore manifolds in terms of their relationship to tangent spaces, such as Lie groups and their Lie algebras. The focus within each chapter consists of...
More DescriptionThis textbook provides an introduction to manifolds to advanced undergraduate and graduate- level students in either a mathematics or physics field of study. It first presents the Euclidean space and point-set topology to create a smooth transition from undergraduate calculus. At a quick, yet accessible pace, coverage then continues to explore manifolds in terms of their relationship to tangent spaces, such as Lie groups and their Lie algebras. The focus within each chapter consists of only the most fundamental topics in manifold theory. Examples and exercises are provided throughout the text and solutions to selected exercises are also included.