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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 speculation of counting additive buildings in units. This thought has obvious fascinating advancements and dramatic alterations in course in recent times due to its connections with parts resembling quantity thought, ergodic idea and graph idea. This graduate-level 2006 textual content will enable scholars and researchers effortless access into this attention-grabbing box. the following, the authors compile in a self-contained and systematic demeanour the various varied instruments and ideas which are utilized in the trendy idea, offering them in an available, coherent, and intuitively transparent demeanour, and delivering rapid purposes to difficulties in additive combinatorics. the facility of those instruments is easily validated 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 good number of 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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