A Guide to the Classification Theorem for Compact Surfaces

Language: English

Published by Springer, Springer Vieweg Feb 2013, 2013

3642343635 / 9783642343636

Series: Book 8 of 12 - Geometry and Computing

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This item is printed on demand - Print on Demand Titel. Neuware -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-Poincaré 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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 192 pp. Englisch.

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Title
A Guide to the Classification Theorem for Compact Surfaces
Author
Jean Gallier
Publisher
Springer, Springer Vieweg Feb 2013
Publication year
2013
Condition
Neu
Binding
Buch
Language
English
ISBN 10
3642343635
ISBN 13
9783642343636
Item weight
459 grams
Dimensions
241x160x16 mm
Series
Book 8 of 12: Geometry and Computing

buchversandmimpf2000

Emtmannsberg, BAYE, Germany

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