By Peter Giblin

Homology idea is a robust algebraic device that's on the centre of present learn in topology and its functions. This obtainable textbook will attract arithmetic scholars drawn to the applying of algebra to geometrical difficulties, in particular the examine of surfaces (sphere, torus, Mobius band, Klein bottle). during this creation to simplicial homology - the main simply digested model of homology conception - the writer stories fascinating geometrical difficulties, comparable to the constitution of two-dimensional surfaces and the embedding of graphs in surfaces, utilizing the minimal of algebraic equipment and together with a model of Lefschetz duality. Assuming little or no mathematical wisdom, the publication presents an entire account of the algebra wanted (abelian teams and presentations), and the improvement of the fabric is usually conscientiously defined with proofs given in complete element. a number of examples and workouts also are integrated, making this an awesome textual content for undergraduate classes or for self-study.

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