A Guide to the Classification Theorem for Compact Surfaces Hardcover - 2013 - 2013th Edition
by Jean Gallier; Dianna Xu
From the rear cover
This welcome boon for students of algebraic topology cuts a much-needed central path between other texts whose treatment of the classification theorem for compact surfaces is either too formalized and complex for those without detailed background knowledge, or too informal to afford students a comprehensive insight into the subject. Its dedicated, student-centred approach details a near-complete proof of this theorem, widely admired for its efficacy and formal beauty. The authors present the technical tools needed to deploy the method effectively as well as demonstrating their use in a clearly structured, worked example.
Ideal for students whose mastery of algebraic topology may be a work-in-progress, the text introduces key notions such as fundamental groups, homology groups, and the Euler-Poincar characteristic. These prerequisites are the subject of detailed appendices that enable focused, discrete learning where it is required, without interrupting the carefully planned structure of the core exposition. Gently guiding readers through the principles, theory, and applications of the classification theorem, the authors aim to foster genuine confidence in its use and in so doing encourage readers to move on to a deeper exploration of the versatile and valuable techniques available in algebraic topology.Details
- Title A Guide to the Classification Theorem for Compact Surfaces
- Author Jean Gallier; Dianna Xu
- Binding Hardcover
- Edition number 2013th
- Edition 2013
- Pages 178
- Volumes 1
- Language ENG
- Publisher Springer
- Date 2013-02-06
- Illustrated Yes
- Features Illustrated
- ISBN 9783642343636 / 3642343635
- Weight 0.91 lbs (0.41 kg)
- Dimensions 9.49 x 6.33 x 0.65 in (24.10 x 16.08 x 1.65 cm)
-
Themes
- Aspects (Academic): Science/Technology Aspects
- Dewey Decimal Code 514
Media reviews
Citations
- Choice, 09/01/2013, Page 0
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A Guide to the Classification Theorem for Compact Surfaces
by Jean Gallier
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A Guide to the Classification Theorem for Compact Surfaces
by Jean Gallier
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A Guide to the Classification Theorem for Compact Surfaces
by Gallier, Jean/ Xu, Dianna
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- Hardcover
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- 9783642343636 / 3642343635
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