|
||||||||||||||||||
|
||||||||||||||||||
|
||||||||||||||||||
Frequently Bought Together
Product Details
|
Product Description
Book Description
This introduction to topology provides separate, in-depth coverage of both general topology and algebraic topology. Includes many examples and figures. GENERAL TOPOLOGY. Set Theory and Logic. Topological Spaces and Continuous Functions. Connectedness and Compactness. Countability and Separation Axioms. The Tychonoff Theorem. Metrization Theorems and paracompactness. Complete Metric Spaces and Function Spaces. Baire Spaces and Dimension Theory. ALGEBRAIC TOPOLOGY. The Fundamental Group. Separation Theorems. The Seifert-van Kampen Theorem. Classification of Surfaces. Classification of Covering Spaces. Applications to Group Theory. For anyone needing a basic, thorough, introduction to general and algebraic topology and its applications.
From the Back Cover
This introduction to topology provides separate, in-depth coverage of both general topology and algebraic topology. Includes many examples and figures. GENERAL TOPOLOGY. Set Theory and Logic. Topological Spaces and Continuous Functions. Connectedness and Compactness. Countability and Separation Axioms. The Tychonoff Theorem. Metrization Theorems and paracompactness. Complete Metric Spaces and Function Spaces. Baire Spaces and Dimension Theory. ALGEBRAIC TOPOLOGY. The Fundamental Group. Separation Theorems. The Seifert-van Kampen Theorem. Classification of Surfaces. Classification of Covering Spaces. Applications to Group Theory. For anyone needing a basic, thorough, introduction to general and algebraic topology and its applications.
We adopt, as most mathematicians do, the naive point of view regarding set theory. Read the first page
Concordance
Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
Suggested Tags from Similar Products(What's this?)Be the first one to add a relevant tag (keyword that's strongly related to this product)
|
What Other Items Do Customers Buy After Viewing This Item?
Customer Reviews
|
Share your thoughts with other customers:
|
||||||||||||||||||||||
|
Most helpful customer reviews
1 of 1 people found the following review helpful
5.0 out of 5 stars
great!,
This review is from: Topology (Hardcover)
Not much to add here... there are enough easy problems that I can get the hang of something, but also some really tough ones at the end of each problem section. The proofs and examples in the text are really good guides to doing the problems also. In some sections there are counterexamples for, say, the converse of a theorem which are always really pathological. At the beginning of each section there is some discussion on what to expect, why the stuff is important, what to do with it, etc. Even though I had a really good prof for the topology course I did this book was very helpful out of the classroom.
5.0 out of 5 stars
Excellent Topology Book,
By A Customer
This review is from: Topology (Hardcover)
My introduction to Munkres was in an independent study of point set topology in my final semester of undergraduate work. A professor assigned me problems from the book, but my learning was largely self motivated. I found that it was an excellent book for independent study. The text was clear and readable and the exercises helped to cement the concepts that are introduced in the reading. Later at graduate school, Munkres was also used in a topology class at the beginning graduate level. Highlights were taken from the first section (point set topology), and a large focus of the class was on the algebraic topology in the second section of the book. Sometimes I had difficulty following exactly what the professor was doing at the blackboard, but I could always understand what was going on when I consulted Munkres. I would stress that this is only to be used as an introduction to algebraic topology, as there is nearly no development of homology groups and other algebraic concepts. However, it gives a very good presentation for the fundamental group. As a whole it would be a very good addition to your mathematical library.
5.0 out of 5 stars
Wonderful text in a poor binding,
By
This review is from: Topology (Hardcover)
As far as contents is concerned, this is a wonderful textboot for self-studying topology. Full of examples and a bit slow-paced, it describes even the 'clever' proofs (like Tichonoff's theorem) so that it makes their core ideas come naturally. The selection of topics is superb (algebraic topology has a much wider coverage than in the 1st edition).The only drawback, and it is a serious one, is the binding. For a well-selling book $[...] worth, one could expect a *decent* binding, but the outcome is a *shame*. With time, the covers of my copy got ridiculously bent outwards, quite like if was cooked in my oven (which I didn't, of course).
Share your thoughts with other customers: Create your own review
Want to see more reviews on this item?
|
Most recent customer reviews |
Listmania!
|
|
Look for similar items by category
- Books > New & Used Textbooks > Sciences > Mathematics > Algebra & Trigonometry
- Books > Professional & Technical > Professional Science > Mathematics > Geometry & Topology
- Books > Professional & Technical > Professional Science > Mathematics > Pure Mathematics
- Books > Science > Mathematics > Geometry & Topology > Topology
- Books > Science > Mathematics > Pure Mathematics > Algebra
Look for similar items by subject
Feedback
|
