Additive combinatorics / Terence Tao, Van H. Vu

Auteur: Tao, Terence (1975-) - AuteurCo-auteur: Vu, Van H. (1970-) - AuteurType de document: MonographieCollection: Cambridge studies in advanced mathematics ; 105Langue: anglaisPays: Grande BretagneÉditeur: Cambridge : Cambridge University Press, 2007Edition: reprinted with correctionsDescription: 1 vol. (XVIII-512 p.) ; 23 cm ISBN: 9780521853866 ; rel. Note: The present book mirrors the development of modern additive combinatorics. It arouse out of lectures by the authors at various universities on the subject which became vivid in the last several decades and culminated in the celebrated Green-Tao theorem on arithmetic progressions in the primes. The book gathers diverse important techniques used in additive combinatorics, and its main advantage is that it is written in a very readable and easy to understand style. The authors try very successfully to develop all the necessary background material from the beginning in a concise matter what makes the book useful not only to graduate students, but also to researchers who are interested to learn more about the variety of diverse tools and ideas applied in this fascinating subject. (Zentralblatt)Bibliographie: Bibliogr. p. 488-504. Notes bibliogr. Index. Sujets MSC: 11B75 Number theory -- Sequences and sets -- Other combinatorial number theory
05D10 Combinatorics -- Extremal combinatorics -- Ramsey theory
05D40 Combinatorics -- Extremal combinatorics -- Probabilistic methods
11B13 Number theory -- Sequences and sets -- Additive bases, including sumsets
11N13 Number theory -- Multiplicative number theory -- Primes in progressions
11P70 Number theory -- Additive number theory; partitions -- Inverse problems of additive number theory, including sumsets
En-ligne: Zentralblatt | MathSciNet
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The present book mirrors the development of modern additive combinatorics. It arouse out of lectures by the authors at various universities on the subject which became vivid in the last several decades and culminated in the celebrated Green-Tao theorem on arithmetic progressions in the primes. The book gathers diverse important techniques used in additive combinatorics, and its main advantage is that it is written in a very readable and easy to understand style. The authors try very successfully to develop all the necessary background material from the beginning in a concise matter what makes the book useful not only to graduate students, but also to researchers who are interested to learn more about the variety of diverse tools and ideas applied in this fascinating subject. (Zentralblatt)

Bibliogr. p. 488-504. Notes bibliogr. Index

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