By Jean Gallier,Dianna Xu

ISBN-10: 3642343635

ISBN-13: 9783642343636

ISBN-10: 3642437109

ISBN-13: 9783642437106

This welcome boon for college students of algebraic topology cuts a much-needed principal direction among different texts whose therapy of the category theorem for compact surfaces is both too formalized and complicated for these with no certain heritage wisdom, or too casual to manage to pay for scholars a complete perception into the topic. Its committed, student-centred method information a near-complete facts of this theorem, broadly prominent 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 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 akin to basic teams, homology teams, and the Euler-Poincaré attribute. those necessities are the topic of distinctive appendices that allow centred, discrete studying the place it truly is required, with no interrupting the rigorously deliberate constitution of the center exposition. lightly guiding readers during the rules, concept, and functions of the category theorem, the authors goal to foster actual self belief in its use and in so doing motivate readers to maneuver directly to a deeper exploration of the flexible and beneficial thoughts 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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