• Sign In
  • Help
  • My Basket0
Algebraic Topology: A First Course - Graduate Texts in Mathematics 153 (Paperback)
  • Algebraic Topology: A First Course - Graduate Texts in Mathematics 153 (Paperback)
zoom

Algebraic Topology: A First Course - Graduate Texts in Mathematics 153 (Paperback)

(author)
£33.99
Paperback 430 Pages / Published: 05/09/1997
  • We can order this

Usually despatched within 3 weeks

  • This item has been added to your basket

Check Marketplace availability

To the Teacher. This book is designed to introduce a student to some of the important ideas of algebraic topology by emphasizing the re- lations of these ideas with other areas of mathematics. Rather than choosing one point of view of modem topology (homotopy theory, simplicial complexes, singular theory, axiomatic homology, differ- ential topology, etc.), we concentrate our attention on concrete prob- lems in low dimensions, introducing only as much algebraic machin- ery as necessary for the problems we meet. This makes it possible to see a wider variety of important features of the subject than is usual in a beginning text. The book is designed for students of mathematics or science who are not aiming to become practicing algebraic topol- ogists-without, we hope, discouraging budding topologists. We also feel that this approach is in better harmony with the historical devel- opment of the subject. What would we like a student to know after a first course in to- pology (assuming we reject the answer: half of what one would like the student to know after a second course in topology)? Our answers to this have guided the choice of material, which includes: under- standing the relation between homology and integration, first on plane domains, later on Riemann surfaces and in higher dimensions; wind- ing numbers and degrees of mappings, fixed-point theorems; appli- cations such as the Jordan curve theorem, invariance of domain; in- dices of vector fields and Euler characteristics; fundamental groups

Publisher: Springer-Verlag New York Inc.
ISBN: 9780387943275
Number of pages: 430
Weight: 1390 g
Dimensions: 235 x 155 x 23 mm
Edition: 1st ed. 1995. Corr. 2nd printing 1997


MEDIA REVIEWS
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


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

You may also be interested in...

Graphs, Surfaces and Homology
Added to basket
Algebraic Topology
Added to basket
£29.99
Paperback
An Introduction to Knot Theory
Added to basket
Schaums Outline of General Topology
Added to basket
Fractals: A Very Short Introduction
Added to basket
Introduction to Topology
Added to basket
Flatland
Added to basket
£10.95
Paperback
The Geometry of Art and Life
Added to basket
A Combinatorial Introduction to Topology
Added to basket
A Topological Picturebook
Added to basket
Topos Theory
Added to basket
£17.99
Paperback
Metric Spaces
Added to basket
Knots
Added to basket
£16.95
Paperback
Introduction to Smooth Manifolds
Added to basket

Reviews

Please sign in to write a review

Your review has been submitted successfully.