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.
| ISBN: | 9781041216834 |
| Publication date: | 1st May 2026 |
| Author: | Steven G Krantz |
| Publisher: | Chapman & Hall/CRC an imprint of CRC Press |
| Format: | Hardback |
| Pagination: | 264 pages |
| Series: | Textbooks in Mathematics |
| Genres: |
Geometry Applied mathematics Mathematical physics Calculus and mathematical analysis |
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.
Elements of Topology features in the following genres: Geometry, Applied mathematics, Mathematical physics, Calculus and mathematical analysis
Elements of Topology is available in Hardback
Elements of Topology was written by Steven G Krantz and published by Chapman & Hall/CRC an imprint of CRC Press
Elements of Topology has 264 pages
Yes it is part of Textbooks in Mathematics series
£93.59