Additive Combinatorics (Cambridge Studies in Advanced - download pdf or read online

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 thought has noticeable intriguing advancements and dramatic adjustments in path lately due to its connections with components akin to quantity conception, ergodic concept and graph concept. This graduate-level 2006 textual content will permit scholars and researchers effortless access into this attention-grabbing box. right here, the authors collect in a self-contained and systematic demeanour the various diversified instruments and concepts which are utilized in the trendy idea, featuring them in an available, coherent, and intuitively transparent demeanour, and supplying instant purposes to difficulties in additive combinatorics. the facility of those instruments is definitely verified 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 by means of a lot 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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