Download PDF by Jean Gallier,Dianna Xu: A Guide to the Classification Theorem for Compact Surfaces

By Jean Gallier,Dianna Xu

ISBN-10: 3642343635

ISBN-13: 9783642343636

ISBN-10: 3642437109

ISBN-13: 9783642437106

This welcome boon for college kids of algebraic topology cuts a much-needed significant course among different texts whose therapy of the category theorem for compact surfaces is both too formalized and intricate for these with out precise history wisdom, or too casual to have the funds for scholars a finished perception into the topic. Its committed, student-centred procedure info a near-complete facts of this theorem, broadly favorite for its efficacy and formal good looks. The authors current the technical instruments had to install the strategy successfully in addition to demonstrating their use in a in actual fact established, labored example.

Ideal for college students whose mastery of algebraic topology could be a work-in-progress, the textual content introduces key notions similar to basic teams, homology teams, and the Euler-Poincaré attribute. those necessities are the topic of targeted appendices that allow concentrated, discrete studying the place it truly is required, with out interrupting the conscientiously deliberate constitution of the middle exposition. lightly guiding readers in the course of the rules, conception, and purposes of the category theorem, the authors target to foster real self belief in its use and in so doing motivate readers to maneuver directly to a deeper exploration of the flexible and necessary options to be had in algebraic topology.

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A Guide to the Classification Theorem for Compact Surfaces (Geometry and Computing) by Jean Gallier,Dianna Xu

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