Additive Combinatorics (Cambridge Studies in Advanced Mathematics) [Hardcover]

Terence Tao (Author), Van H. Vu (Author)

Book Description

Publication Date: September 25, 2006 | ISBN-10: 0521853869 | ISBN-13: 978-0521853866 | Edition: 1

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, 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.

Editorial Reviews

Review

"... a vital contribution to the literature, and it has already become required reading for a new generation of students as well as for experts in adjacent areas looking to learn about additive combinatorics. This was very much a book that needed to be written at the time it was, and the authors are to be highly commended for having done so in such an effective way. I have three copies myself: one at home, one in the office, and a spare in case either of those should become damaged."
Bulletin of the AMS

Book Description

The many different tools from different fields that are used in additive combinatorics are brought together in a self-contained and systematic manner. This graduate-level text will quickly allow students and researchers easy entry into the fascinating field of additive combinatorics.

See all Editorial Reviews

Product Details

• Hardcover: 532 pages
• Publisher: Cambridge University Press; 1 edition (September 25, 2006)
• Language: English
• ISBN-10: 0521853869
• ISBN-13: 978-0521853866
• Product Dimensions: 9 x 6 x 1.3 inches
• Shipping Weight: 1.9 pounds
• Amazon Best Sellers Rank: #1,884,076 in Books (See Top 100 in Books)

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