Download e-book for kindle: Additive Combinatorics (Cambridge Studies in Advanced by Terence Tao,Van H. Vu

By Terence Tao,Van H. Vu

ISBN-10: 0521136563

ISBN-13: 9780521136563

ISBN-10: 0521853869

ISBN-13: 9780521853866

Additive combinatorics is the speculation of counting additive buildings in units. This idea has noticeable intriguing advancements and dramatic alterations in path lately due to its connections with parts resembling quantity concept, ergodic idea and graph thought. This graduate-level 2006 textual content will let scholars and researchers effortless access into this interesting box. the following, the authors assemble in a self-contained and systematic demeanour the various diverse instruments and concepts which are utilized in the fashionable conception, offering them in an obtainable, coherent, and intuitively transparent demeanour, and offering instant functions to difficulties in additive combinatorics. the ability of those instruments is definitely tested within the presentation of modern advances equivalent 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 through a good number 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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