Terence Tao, Van Vu

Additive Combinatorics

• Gebundenes Buch

Produktbeschreibung

A graduate-level 2006 text bringing together the tools from different fields used in additive combinatorics.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 532
• Erscheinungstermin: 1. November 2010
• Englisch
• Abmessung: 235mm x 157mm x 36mm
• Gewicht: 1006g
• ISBN-13: 9780521853866
• ISBN-10: 0521853869
• Artikelnr.: 21089273

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.