Read e-book online Additive Combinatorics (Cambridge Studies in Advanced PDF

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 thought has obvious interesting advancements and dramatic adjustments in path lately because of its connections with parts akin to quantity concept, ergodic thought and graph conception. 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 assorted instruments and concepts which are utilized in the fashionable thought, offering them in an obtainable, coherent, and intuitively transparent demeanour, and supplying speedy purposes to difficulties in additive combinatorics. the facility of those instruments is definitely proven within the presentation of modern advances akin to 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 via loads of workouts and new results.

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

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