Terence Tao,Van H. Vu's Additive Combinatorics (Cambridge Studies in Advanced PDF

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By Terence Tao,Van H. Vu

ISBN-10: 0521136563

ISBN-13: 9780521136563

ISBN-10: 0521853869

ISBN-13: 9780521853866

Additive combinatorics is the idea of counting additive buildings in units. This idea has noticeable fascinating advancements and dramatic adjustments in course lately due to its connections with components equivalent to quantity concept, ergodic concept and graph concept. This graduate-level 2006 textual content will let scholars and researchers effortless access into this attention-grabbing box. the following, the authors compile in a self-contained and systematic demeanour the numerous diversified instruments and ideas which are utilized in the fashionable concept, providing them in an available, coherent, and intuitively transparent demeanour, and supplying rapid functions to difficulties in additive combinatorics. the facility of those instruments is definitely confirmed within the presentation of contemporary advances resembling Szemerédi's theorem on mathematics progressions, the Kakeya conjecture and Erdos distance difficulties, and the constructing box of sum-product estimates. The textual content is supplemented by way of quite a few routines and new results.

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Additive Combinatorics (Cambridge Studies in Advanced Mathematics) by Terence Tao,Van H. Vu

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