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Item Details
Title: ADDITIVE COMBINATORICS
By: Terence Tao, Van H. Vu
Format: Electronic book text

List price: £162.00


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ISBN 10: 0511755147
ISBN 13: 9780511755149
Publisher: CAMBRIDGE UNIVERSITY PRESS
Pub. date: 18 June, 2010
Series: Cambridge Studies in Advanced Mathematics 105
Description: A graduate-level 2006 text bringing together the tools from different fields used in additive combinatorics.
Synopsis: 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 2006 text will allow students and researchers easy entry into this fascinating field. Here, 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 Szemeredi'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.
Illustrations: 640 exercises
Publication: UK
Imprint: Cambridge University Press (Virtual Publishing)
Returns: Non-returnable
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