Softcover ISBN: | 978-93-86279-67-5 |
Product Code: | HIN/74 |
List Price: | $52.00 |
AMS Member Price: | $41.60 |
Softcover ISBN: | 978-93-86279-67-5 |
Product Code: | HIN/74 |
List Price: | $52.00 |
AMS Member Price: | $41.60 |
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Book DetailsHindustan Book AgencyVolume: 74; 2018; 358 ppMSC: Primary 55; Secondary 54
This is the second (revised and enlarged) edition of the book originally published in 2003. It introduces the first concepts of algebraic topology such as general simplicial complexes, simplicial homology theory, fundamental groups, covering spaces and singular homology theory in detail. The text has been designed for undergraduate and beginning graduate students of mathematics. It assumes a minimal background of linear algebra, group theory and topological spaces.
The author deals with the basic concepts and ideas in a very lucid manner, giving suitable motivations and illustrations. As an application of the tools developed in this book, some classical theorems such as Brouwer's fixed point theorem, the Lefschetz fixed point theorem, the Borsuk-Ulam theorem, Brouwer's separation theorem, and the theorem on invariance of domain are proved and illustrated. Most of the exercises are elementary, but some are more challenging and will help readers with their understanding of the subject.
A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels.
ReadershipUndergraduate and graduate students interested in algebraic topology.
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This is the second (revised and enlarged) edition of the book originally published in 2003. It introduces the first concepts of algebraic topology such as general simplicial complexes, simplicial homology theory, fundamental groups, covering spaces and singular homology theory in detail. The text has been designed for undergraduate and beginning graduate students of mathematics. It assumes a minimal background of linear algebra, group theory and topological spaces.
The author deals with the basic concepts and ideas in a very lucid manner, giving suitable motivations and illustrations. As an application of the tools developed in this book, some classical theorems such as Brouwer's fixed point theorem, the Lefschetz fixed point theorem, the Borsuk-Ulam theorem, Brouwer's separation theorem, and the theorem on invariance of domain are proved and illustrated. Most of the exercises are elementary, but some are more challenging and will help readers with their understanding of the subject.
A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels.
Undergraduate and graduate students interested in algebraic topology.