Additive Combinatorics (Cambridge Studies in Advanced Mathematics)
| Author | : | |
| Rating | : | 4.33 (641 Votes) |
| Asin | : | 0521136563 |
| Format Type | : | paperback |
| Number of Pages | : | 532 Pages |
| Publish Date | : | 2013-09-07 |
| Language | : | English |
DESCRIPTION:
Vu is a Professor in the Department of Mathematics at Rutgers University, New Jersey. . He was awarded the Fields Medal in 2006 for his contributions to partial differential equations, combinatorics, harmonic analysis and additive number theory.Van H. Terence Tao is a Professor in the Department of Mathematics at the Universit
" 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
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.. This graduate-level 2006 text will allow students and researchers easy entry into this fascinating field. 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. 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. Additive combinatorics is the theory of counting additive structures in sets
I've read it three times from cover to cover. I've read it three times from cover to cover. It is an unbelievably rich book of unexpected depth. It will become a classic.