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Algebraic Topology A First Course






Publisher:  Springer
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 enc...ountered. 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.

Fulton, William is the author of Algebraic Topology A First Course, published under ISBN 9780387943275 and 0387943277. Five hundred eleven Algebraic Topology A First Course textbooks are available for sale on ValoreBooks.com, fifty six used from the cheapest price of $42.88, or buy new starting at $47.67.
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Algebraic Topology A First Course

ISBN-13: 9780387943275

ISBN: 0387943277

Publisher: Springer
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