Terence Tao (Los Angeles University of California), Van H. Vu (New Jersey Rutgers University)

Additive Combinatorics

• Broschiertes Buch

Produktbeschreibung

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 2006 text will quickly allow students and researchers easy entry into the fascinating field of additive combinatorics.

Produktdetails

• Cambridge Studies in Advanced Mathematics
• Verlag: Cambridge University Press
• Seitenzahl: 532
• Erscheinungstermin: 1. November 2010
• Englisch
• Abmessung: 229mm x 152mm x 32mm
• Gewicht: 842g
• ISBN-13: 9780521136563
• ISBN-10: 0521136563
• Artikelnr.: 28244734

Autorenporträt

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.

Inhaltsangabe

Prologue; 1. The probabilistic method; 2. Sum set estimates; 3. Additive geometry; 4. Fourier-analytic methods; 5. Inverse sum set theorems; 6. Graph-theoretic methods; 7. The Littlewood-Offord problem; 8. Incidence geometry; 9. Algebraic methods; 10. Szemerédi's theorem for k = 3; 11. Szemerédi's theorem for k 3; 12. Long arithmetic progressions in sum sets; Bibliography; Index.

Rezensionen

'The book under review is 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.' Bulletin of the American Mathematical Society