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Algebraic Topology: A First Course
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Bibliographic Detail
Publisher Springer Verlag
Publication date September 1, 1995
Binding Paperback
Book category Adult Non-Fiction
ISBN-13 9780387943275
ISBN-10 0387943277
Dimensions 0.75 by 6.25 by 9.50 in.
Weight 1.45 lbs.
Original list price $49.95
Summaries and Reviews
Amazon.com description: Product Description: 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

Editions
Hardcover
Book cover for 9780387943268
 
from Springer Verlag (November 1, 1995)
9780387943268 | details & prices | 6.50 × 9.75 × 1.00 in. | 1.75 lbs | List price $99.00
About: To the Teacher.
from Springer Verlag (February 1, 1995)
9783540943266 | details & prices | List price $59.50
About: This introduction to the field concentrates on concrete problems in spaces with few dimensions, introducing only those algebraic concepts which are necessary for the problems encountered.
Paperback
Book cover for 9780387943275 Book cover for 9783540943273
 
The price comparison is for this edition
from Springer Verlag (September 1, 1995)
9780387943275 | details & prices | 6.25 × 9.50 × 0.75 in. | 1.45 lbs | List price $49.95
About: To the Teacher.
from Springer Verlag (February 1, 1995)
9783540943273 | details & prices | List price $29.95
About: To the Teacher.

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