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Type of bind: Hardcover
Dewey Decimal Number: 511.6
EAN num: 9780521853866
ISBN number: 0521853869
Label: Cambridge University Press
Manufacturer: Cambridge University Press
Quantity: 1
Page Count: 530
Printing Date: September 25, 2006
Publishing house: Cambridge University Press
Sale Popularity Level: 512324
Studio: Cambridge University Press
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Editor's Notes and Comments:
Product Description:
Additive combinatorics is the theory of counting additive structures in sets. This theory has seen exciting developments and dramatic changes in direction in recent years thanks to its connections with areas such as number theory, ergodic theory and graph theory. This graduate level textbook will allow students and researchers easy entry into this fascinating field. Here, for the very first time, the authors bring together in a self-contained and systematic manner the many different tools and ideas that are used in the modern theory, presenting them in an accessible, coherent, and intuitively clear manner, and providing immediate applications to problems in additive combinatorics. The power of these tools is well demonstrated in the presentation of recent advances such as Szemerédi's theorem on arithmetic progressions, the Kakeya conjecture and Erdos distance problems, and the developing field of sum-product estimates. The text is supplemented by a large number of exercises and new results.
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