New PDF release: 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 principal course among different texts whose remedy of the type theorem for compact surfaces is both too formalized and intricate for these with no exact heritage wisdom, or too casual to come up with the money for scholars a complete perception into the topic. Its committed, student-centred process information a near-complete evidence of this theorem, commonly widespread for its efficacy and formal attractiveness. The authors current the technical instruments had to install the strategy successfully in addition to demonstrating their use in a essentially established, labored example.

Ideal for college students whose mastery of algebraic topology could be a work-in-progress, the textual content introduces key notions reminiscent of primary teams, homology teams, and the Euler-Poincaré attribute. those necessities are the topic of special appendices that let targeted, discrete studying the place it really is required, with out interrupting the rigorously deliberate constitution of the center exposition. lightly guiding readers during the ideas, conception, and purposes of the type 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 useful innovations 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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