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Additive Combinatorics

Terence Tao and Van H. Vu
Publisher: 
Cambridge 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

Dummy View - NOT TO BE DELETED