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Additive combinatorics

By: Contributor(s): Material type: TextTextLanguage: English Series: Cambridge studies in advanced mathematics ; 105Publication details: Cambridge Cambridge University Press 2007Description: xviii, 512pISBN:
  • 9780521853866 (HB)
Subject(s):
Contents:
1. The probabilistic method 2. Sum set estimates 3. Additive geometry 4. Fourier analytic methods 5. Inverse sumset theorems 6. Graph theoretic methods 7. The Littlewood-Offord problem 8. Incidence geometry 9. Algebraic methods 10. Szemere;di's theorem for k = 11. Szemere;di's theorem for k > 12. Long arithmetic progressions in sumsets.
Summary: 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.
Item type: BOOKS
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Home library Call number Materials specified Status Date due Barcode
IMSc Library 519.1 TAO (Browse shelf(Opens below)) Available 60430

Includes index

Includes bibliographical references

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

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.

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The Institute of Mathematical Sciences, Chennai, India