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Additive Combinatorics

Terence Tao and Van H. Vu
Publisher: 
Cambrigde University Press
Publication Date: 
2010
Number of Pages: 
512
Format: 
Paperback
Series: 
Cambridge Studies in Advanced Mathematics 105
Price: 
48.00
ISBN: 
9780521136563
Category: 
Monograph
BLL Rating: 

The Basic Library List Committee suggests that undergraduate mathematics libraries consider this book for acquisition.

[Reviewed by
Fernando Q. Gouvêa
, on
01/22/2010
]

See our review of the hardcover edition (2006).


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.

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