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Additive Combinatorics by Terence Tao
Book DescriptionAdditive 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.
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Book DetailsISBN: 9780521853866
(228mm x 152mm x 33mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 14-Sep-2006
Country of Publication: United Kingdom
Books By Author Terence Tao
Additive Combinatorics, Paperback (November 2009)
A graduate-level 2006 text bringing together the tools from different fields used in additive combinatorics.
Solving Mathematical Problems, Hardback (July 2006)» View all books by Terence Tao
Authored by a leading name in mathematics, this engaging and clearly presented text leads the reader through the tactics involved in solving mathematical problems at the Mathematical Olympiad level. With numerous exercises and assuming only basic mathematics, this text is ideal for students of 14 years and above in pure mathematics.
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Author Biography - Terence Tao
Terence Tao is a Professor in the Department of Mathematics at the University of California, Los Angeles. He was awarded the Fields Medal in 2006 for his contributions to partial differential equations, combinatorics, harmonic analysis and additive number theory. Van H. Vu is a Professor in the Department of Mathematics at Rutgers University, New Jersey.
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