Additive Combinatorics
Full details for this title
| Interest Age |
All ages |
| Reading Age |
All ages |
| Library of Congress |
Additive combinatorics |
| NBS Text |
Mathematics |
| ONIX Text |
Professional and scholarly |
|
| Number of Pages |
532 |
| Dimensions |
Width: 152mm
Height: 228mm
Spine: 31mm |
| Weight |
849g |
|
| Dewey Code |
511.6 |
| Catalogue Code |
Not specified |
Description of this Book
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 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 Szemer '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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Awards & Reviews
| NZ Review |
The monograph is designed for a wide mathematical audience and does not require any specific background from a reader. However, everybody who intends to read this book should be ready to study tools and ideas from different areas of mathematics, which are concentrated in the book and presented in an accessible, coherent, and intuitively clear manner and provided with immediate applications to problems in additive combinatorics. Sergei V. Konyagin and Ilya D. Shkredov, Mathematical Reviews |
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Author's Bio
Terence Tao is a Professor in the Department of Mathematics, University of California, Los Angeles. Van Vu is a Professor in the Mathematics Department at Rutgers University, New Jersey.
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