A User's Guide to Algebraic Topology (Mathematics and Its Applications, 387)

C. T. J. Dodson, Phillip E. Parker

ISBN 10: 0792342933 / ISBN 13: 9780792342939

Published by Kluwer Academic Publishers, 1997

About this Item

As new copy. A tight, bright, and clean copy with no inscriptions and no annotations/notes. No creasing to spine/cover or foxing to pages. Fantastic condition book. 405pp. (15.5x23.5cm). Please contact us for any more information.

Seller Inventory # 8538

Bibliographic Details

• Title: A User's Guide to Algebraic Topology (Mathematics and Its Applications, 387)
• Publisher: Kluwer Academic Publishers
• Publication Date: 1997
• Language: English
• ISBN 10: 0792342933
• ISBN 13: 9780792342939
• Binding: Soft cover
• Condition: As New
• Weight: 1 kilogram
• Seller catalogs:
  • Mathematics

About this title

Synopsis

We have tried to design this book for both instructional and reference use, during and after a first course in algebraic topology aimed at users rather than developers; indeed, the book arose from such courses taught by the authors. We start gently, with numerous pictures to illustrate the fundamental ideas and constructions in homotopy theory that are needed in later chapters. A certain amount of redundancy is built in for the reader's convenience: we hope to minimize :fiipping back and forth, and we have provided some appendices for reference. The first three are concerned with background material in algebra, general topology, manifolds, geometry and bundles. Another gives tables of homo­ topy groups that should prove useful in computations, and the last outlines the use of a computer algebra package for exterior calculus. Our approach has been that whenever a construction from a proof is needed, we have explicitly noted and referenced this. In general, wehavenot given a proof unless it yields something useful for computations. As always, the only way to un­ derstand mathematics is to do it and use it. To encourage this, Ex denotes either an example or an exercise. The choice is usually up to you the reader, depending on the amount of work you wish to do; however, some are explicitly stated as ( unanswered) questions. In such cases, our implicit claim is that you will greatly benefit from at least thinking about how to answer them.