Download e-book for iPad: A Guide to the Classification Theorem for Compact Surfaces by Jean Gallier,Dianna Xu

By Jean Gallier,Dianna Xu

This welcome boon for college students of algebraic topology cuts a much-needed crucial course among different texts whose remedy of the class theorem for compact surfaces is both too formalized and intricate for these with no distinct heritage wisdom, or too casual to have enough money scholars a accomplished perception into the topic. Its committed, student-centred process info a near-complete evidence of this theorem, broadly famous for its efficacy and formal attractiveness. The authors current the technical instruments had to set up the tactic successfully in addition to demonstrating their use in a essentially dependent, labored example.

Ideal for college students whose mastery of algebraic topology could be a work-in-progress, the textual content introduces key notions comparable to basic teams, homology teams, and the Euler-Poincaré attribute. those must haves are the topic of precise appendices that let targeted, discrete studying the place it really is required, with out interrupting the conscientiously deliberate constitution of the middle exposition. lightly guiding readers in the course of the rules, idea, and functions of the category theorem, the authors target to foster actual self assurance in its use and in so doing motivate readers to maneuver directly to a deeper exploration of the flexible and useful concepts 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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