Read e-book online A Guide to the Classification Theorem for Compact Surfaces PDF

By Jean Gallier,Dianna Xu

This welcome boon for college kids of algebraic topology cuts a much-needed imperative course among different texts whose remedy of the category theorem for compact surfaces is both too formalized and intricate for these with out designated heritage wisdom, or too casual to have the funds for scholars a entire perception into the topic. Its devoted, student-centred strategy info a near-complete facts of this theorem, largely fashionable for its efficacy and formal good looks. The authors current the technical instruments had to install the tactic successfully in addition to demonstrating their use in a sincerely based, 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 primary teams, homology teams, and the Euler-Poincaré attribute. those must haves are the topic of targeted appendices that permit concentrated, discrete studying the place it truly is required, with no interrupting the conscientiously deliberate constitution of the center exposition. lightly guiding readers in the course of the ideas, idea, and functions of the type theorem, the authors target to foster real self assurance in its use and in so doing motivate readers to maneuver directly to a deeper exploration of the flexible and worthwhile 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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