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 imperative course among different texts whose therapy of the class theorem for compact surfaces is both too formalized and complicated for these with no precise history wisdom, or too casual to find the money for scholars a accomplished perception into the topic. Its committed, student-centred strategy information a near-complete evidence of this theorem, greatly sought after for its efficacy and formal attractiveness. The authors current the technical instruments had to install the tactic successfully in addition to demonstrating their use in a essentially based, labored example.

Ideal for college kids whose mastery of algebraic topology could be a work-in-progress, the textual content introduces key notions akin to primary teams, homology teams, and the Euler-Poincaré attribute. those must haves are the topic of specified appendices that allow centred, 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, idea, and purposes of the class theorem, the authors objective to foster real self assurance in its use and in so doing inspire readers to maneuver directly to a deeper exploration of the flexible and priceless strategies on hand 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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