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Introduction to Differential and Algebraic Topology : Texts in the Mathematical Sciences - Yurii G. Borisovich

Introduction to Differential and Algebraic Topology

Texts in the Mathematical Sciences

Hardcover Published: 31st May 1995
ISBN: 9780792334996
Number Of Pages: 493

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Topology as a subject, in our opinion, plays a central role in university education. It is not really possible to design courses in differential geometry, mathematical analysis, differential equations, mechanics, functional analysis that correspond to the temporary state of these disciplines without involving topological concepts. Therefore, it is essential to acquaint students with topo­ logical research methods already in the first university courses. This textbook is one possible version of an introductory course in topo­ logy and elements of differential geometry, and it absolutely reflects both the authors' personal preferences and experience as lecturers and researchers. It deals with those areas of topology and geometry that are most closely related to fundamental courses in general mathematics. The educational material leaves a lecturer a free choice in designing his own course or his own seminar. We draw attention to a number of particularities in our book. The first chap­ ter, according to the authors' intention, should acquaint readers with topolo­ gical problems and concepts which arise from problems in geometry, analysis, and physics. Here, general topology (Ch. 2) is presented by introducing con­ structions, for example, related to the concept of quotient spaces, much earlier than various other notions of general topology thus making it possible for students to study important examples of manifolds (two-dimensional surfaces, projective spaces, orbit spaces, etc.) as topological spaces, immediately.

Preface
First notions of topologyp. 3
General Topologyp. 63
Homotopy theoryp. 163
Manifolds and fiberingsp. 219
Homology theoryp. 389
Referencesp. 477
Subject indexp. 481
About the authors and the bookp. 491
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792334996
ISBN-10: 079233499X
Series: Texts in the Mathematical Sciences
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 493
Published: 31st May 1995
Publisher: SPRINGER VERLAG GMBH
Country of Publication: NL
Dimensions (cm): 23.39 x 15.6  x 2.87
Weight (kg): 0.89
Edition Number: 2

Earn 294 Qantas Points
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