Elements of topology : theory and practice /
This book is an ambitious but optimistic treatment of the subject of topology. Not only does Elements of Topology: Theory and Practice, Second Edition treat the standard basic material on point-set topology, but it also gives an introduction to algebraic topology, a treatment of manifolds, a discuss...
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| Format: | eBook |
| Language: | English |
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Boca Raton :
Chapman and Hall/CRC,
2026.
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| Edition: | Second edition. |
| Series: | Textbooks in mathematics
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| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | This book is an ambitious but optimistic treatment of the subject of topology. Not only does Elements of Topology: Theory and Practice, Second Edition treat the standard basic material on point-set topology, but it also gives an introduction to algebraic topology, a treatment of manifolds, a discussion of function spaces, and some ideas of knot theory. Even the exciting new topic of the Jones polynomial is covered. After discussing the key ideas of topology, the author examines the more advanced topics of algebraic topology and manifold theory. Topic coverage has been reduced in this second edition, and exercise sets have been added at the end of each section. The book as a whole-and the first two chapters in particular- offer many examples. Solutions to selected exercises are included at the end.Today's students need a text that speaks to them in their own language, and at a pace with which they are comfortable. That is the goal of this edition. Taking a fresh and accessible approach to a venerable subject, this text provides excellent representations of topological ideas. It forms the foundation for further mathematical study in real analysis, abstract algebra, and beyond. |
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| Item Description: | Previous edition: published as Essentials of topology with applications. Boca Raton: CRC Press, 2010. |
| Physical Description: | 1 online resource (264 pages) : illustrations (black and white, and colour). |
| ISBN: | 9781040814383 1040814387 9781003728481 1003728480 9781040814338 1040814336 |