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

By Terence Tao,Van H. Vu

Additive combinatorics is the speculation of counting additive constructions in units. This idea has visible interesting advancements and dramatic alterations in course in recent times due to its connections with components reminiscent of quantity thought, ergodic thought and graph conception. This graduate-level 2006 textual content will permit scholars and researchers effortless access into this interesting box. the following, the authors compile in a self-contained and systematic demeanour the numerous various instruments and concepts which are utilized in the trendy idea, offering them in an available, coherent, and intuitively transparent demeanour, and supplying speedy functions to difficulties in additive combinatorics. the facility of those instruments is definitely validated within the presentation of modern advances similar 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 way of various 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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