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Many historical references have been added to the bibliography Hints and solutions are provided for selected exercises making this book ideal for self-study Further improves upon an already successful first edition Provides a comprehensive understanding of a large body of important mathematics in geometry and topology
Includes supplementary material: sn.pub/extras
Part of the book series: Universitext (UTX)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
About this book
Reviews
From the reviews of the second edition:
“This book could be called a prequel to the book ‘Differential forms in algebraic topology’ by R. Bott and the author. Assuming only basic background in analysis and algebra, the book offers a rather gentle introduction to smooth manifolds and differential forms offering the necessary background to understand and compute deRham cohomology. … The text also contains many exercises … for the ambitious reader.” (A. Cap, Monatshefte für Mathematik, Vol. 161 (3), October, 2010)
Authors and Affiliations
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, Department of Mathematics, Tufts University, Medford, USA
Loring W. Tu
About the author
Bibliographic Information
Book Title: An Introduction to Manifolds
Authors: Loring W. Tu
Series Title: Universitext
DOI: https://doi.org/10.1007/978-1-4419-7400-6
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC 2011
Softcover ISBN: 978-1-4419-7399-3Published: 06 October 2010
eBook ISBN: 978-1-4419-7400-6Published: 05 October 2010
Series ISSN: 0172-5939
Series E-ISSN: 2191-6675
Edition Number: 2
Number of Pages: XVIII, 410
Number of Illustrations: 123 b/w illustrations, 1 illustrations in colour
Topics: Manifolds and Cell Complexes (incl. Diff.Topology), Global Analysis and Analysis on Manifolds, Differential Geometry