Introduction to Topology
«“It is suitable for senior undergraduate and beginning graduate students of mathematics. … Each chapter contains numerous examples and exercises, making this book an interesting and useful reference for any basic course in topology.” (Fabio Ferrari Ruffino, Mathematical Reviews, 2019)
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“It can be used as a consultation book by students of mathematics or other people interested in topology.” (F.G.Lupiáñez, European Mathematical Society, euro-math-soc.eu, October 23, 2019)
“This is a textbook on basic general topology and a small part of algebraic topology intended for undergraduate students and first level graduate students. … the book may be also useful to those who teach topological courses.” (Ljubiša D. Kočinac, zbMATH 1426.54001, 2020)
“This book would make a good choice for a graduate course in point-set (with an introduction to algebraic) topology, and would also function well as a text for a fairly sophisticated undergraduate course.” (Mark Hunacek, MAA Reviews, August 11, 2019)
Topology is a large subject with several branches, broadly categorized as algebraic topology, point-set topology, and geometric topology. Point-set topology is the main language for a broad range of mathematical disciplines, while algebraic topology offers as a powerful tool for studying problems in geometry and numerous other areas of mathematics. Les mer
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Topology is a large subject with several branches, broadly categorized as algebraic topology, point-set topology, and geometric topology. Point-set topology is the main language for a broad range of mathematical disciplines, while algebraic topology offers as a powerful tool for studying problems in geometry and numerous other areas of mathematics. This book presents the basic concepts of topology, including virtually all of the traditional topics in point-set topology, as well as elementary topics in algebraic topology such as fundamental groups and covering spaces. It also discusses topological groups and transformation groups. When combined with a working knowledge of analysis and algebra, this book offers a valuable resource for advanced undergraduate and beginning graduate students of mathematics specializing in algebraic topology and harmonic analysis.
Detaljer
- Forlag
- Springer Verlag, Singapore
- Innbinding
- Paperback
- Språk
- Engelsk
- Sider
- 452
- ISBN
- 9789811369568
- Utgivelsesår
- 2020
- Format
- 24 x 16 cm
Anmeldelser
«“It is suitable for senior undergraduate and beginning graduate students of mathematics. … Each chapter contains numerous examples and exercises, making this book an interesting and useful reference for any basic course in topology.” (Fabio Ferrari Ruffino, Mathematical Reviews, 2019)
»
“It can be used as a consultation book by students of mathematics or other people interested in topology.” (F.G.Lupiáñez, European Mathematical Society, euro-math-soc.eu, October 23, 2019)
“This is a textbook on basic general topology and a small part of algebraic topology intended for undergraduate students and first level graduate students. … the book may be also useful to those who teach topological courses.” (Ljubiša D. Kočinac, zbMATH 1426.54001, 2020)
“This book would make a good choice for a graduate course in point-set (with an introduction to algebraic) topology, and would also function well as a text for a fairly sophisticated undergraduate course.” (Mark Hunacek, MAA Reviews, August 11, 2019)