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Topology is one of the most rapidly expanding areas of mathematical thought: while its roots are in geometry and analysis, topology now serves as a powerful tool in almost every sphere of mathematical study. This book is intended as a first text in topology, accessible to readers with at least three semesters of a calculus and analytic geometry sequence.In addition to superb coverage of the fundamentals of metric spaces, topologies, convergence, compactness, connectedness, homotopy theory, and other essentials, Elementary Topology gives added perspective as the author demonstrates how abstract topological notions developed from classical mathematics. For this second edition, numerous exercises have been added as well as a section dealing with paracompactness and complete regularity. The Appendix on infinite products has been extended to include the general Tychonoff theorem; a proof of the Tychonoff theorem which does not depend on the theory of convergence has also been added in Chapter 7.
⚠️ WARNING (California Proposition 65):
This product may contain chemicals known to the State of California to cause cancer,
birth defects, or other reproductive harm.
I picked up this Dover edition for self-study, and it's been fantastic. The layout is user-friendly, and the examples are very practical. My only complaint is that it took a little longer to arrive than I expected.
S
Sofia Ramirez
A Great Resource for Beginners
As a math major, I found this second edition of Elementary Topology to be super helpful. The explanations are clear, and the exercises are just challenging enough to really make you think. Definitely worth having in your math library!
R
Raj Patel
Solid Book but Lacks Some Depth
I bought this book to reference for my topology course. While it covers the basics well, I did wish it went into a bit more detail on some concepts. Still, a good starting point for students new to the subject.
M
Michael Johnson
Disappointed with Condition on Arrival
Unfortunately, my copy of Elementary Topology arrived with a few pages crumpled. The content itself seems fine, but I was really hoping for better packaging. Once I get into it more, I'll see if the content makes up for it.
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