Algebraic Topology, 1st Edition
A First Course
- Paperback
430 pages
- Release Date
5 September 1997
Summary
This book introduces the important ideas of algebraic topology emphasizing the relation of these ideas with other areas of mathematics. Rather than choosing one point of view of modern topology (homotropy theory, axiomatic homology, or differential topology, say) the author concentrates on concrete problems in spaces with a few dimensions, introducing only as much algebraic machinery as necessary for the problems encountered. This makes it possible to see a wider variety of important features in the subject than is common in introductory texts; it is also in harmony with the historical development of the subject. The book is aimed at students who do not necessarily intend on specializing in algebraic topology. The first part of the book emphasizes relations with calculus and uses these ideas to prove the Jordan curve theorem. The study of fundamental groups and covering spaces emphasizes group actions. A final section gives a taste of the generalization to higher dimensions.
Book Details
| ISBN-13: | 9780387943275 |
|---|---|
| ISBN-10: | 0387943277 |
| Author: | William Fulton |
| Publisher: | Springer-Verlag New York Inc. |
| Imprint: | Springer-Verlag New York Inc. |
| Format: | Paperback |
| Number of Pages: | 430 |
| Edition: | 1st |
| Release Date: | 5 September 1997 |
| Weight: | 1.39kg |
| Dimensions: | 155mm x 235mm |
| Series: | Graduate Texts in Mathematics |
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Critics Review
W. Fulton
Algebraic Topology
A First Course
“Fulton has done genuine service for the mathematical community by writing a text on algebraic topology which is genuinely different from the existing texts. Each time a text such as this is published we more truly have a real choice when we pick a book for a course or for self-study. The author, who is an expert in algebraic geometry, has given us his own personal idiosyncratic vision of how the subject should be developed.“a “AMERICAN MATHEMATICAL MONTHLY
W. Fulton
Algebraic Topology
A First Course
“Fulton has done genuine service for the mathematical community by writing a text on algebraic topology which is genuinely different from the existing texts. Each time a text such as this is published we more truly have a real choice when we pick a book for a course or for self-study. The author, who is an expert in algebraic geometry, has given us his own personal idiosyncratic vision of how the subject should be developed.”???AMERICAN MATHEMATICAL MONTHLY
W. Fulton
Algebraic Topology
A First Course
“Fulton has done genuine service for the mathematical community by writing a text on algebraic topology which is genuinely different from the existing texts. Each time a text such as this is published we more truly have a real choice when we pick a book for a course or for self-study. The author, who is an expert in algebraic geometry, has given us his own personal idiosyncratic vision of how the subject should be developed.“AMERICAN MATHEMATICAL MONTHLY
William Fulton
Fulton is president of Solimar Research Group in Ventura, California.
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