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 text will allow students and researchers easy entry into this fascinating field. Here, for the 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 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.
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EAN: 9780521136563
UPC: 9780521136563
ISBN: 9780521136563
MPN: N/A
Item Length: 22.4 cm
Number of Pages: 532 Pages
Language: English
Publication Name: Additive Combinatorics
Publisher: Cambridge University Press
Publication Year: 2009
Subject: Mathematics
Item Height: 229 mm
Item Weight: 750 g
Type: Textbook
Author: Van H. Vu, Terence Tao
Item Width: 152 mm
Format: Paperback
