One of the most active areas in mathematics is the topic of 'additive combinatorics'. This book brings together key researchers from different areas, sharing their insights in articles meant to inspire mathematicians coming from various backgrounds. Editor(s): Granville, Andrew; Nathanson, Melvyn B.; Solymosi, Jozsef. Series: CRM Proceedings & Lecture Notes. Num Pages: 335 pages, Illustrations. BIC Classification: PBH; PBK; PBV. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Weight in Grams: 598. . 2007. Paperback. . . . .

N� de ref. del art�culo V9780821843512

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Detalles bibliogr�ficos

T�tulo: Additive Combinatorics (Crm Proceedings and Lecture Notes)
Editor: American Mathematical Society
Fecha de publicaci�n: 2007
Idioma: Ingl�s
ISBN 10: 0821843516
ISBN 13: 9780821843512
Encuadernaci�n: Encuadernaci�n de tapa blanda
Estado: New

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Sinopsis

One of the most active areas in mathematics today is the rapidly emerging new topic of ""additive combinatorics"". Building on Gowers' use of the Freiman-Ruzsa theorem in harmonic analysis (in particular, his proof of Szemeredi's theorem), Green and Tao famously proved that there are arbitrarily long arithmetic progressions of primes, and Bourgain and his co-authors have given non-trivial estimates for hitherto untouchably short exponential sums. There are further important consequences in group theory and in complexity theory and compelling questions in ergodic theory, discrete geometry and many other disciplines. The basis of the subject is not too difficult: it can be best described as the theory of adding together sets of numbers; in particular, understanding the structure of the two original sets if their sum is small. This book brings together key researchers from all of these different areas, sharing their insights in articles meant to inspire mathematicians coming from all sorts of different backgrounds.

Rese�a del editor

One of the most active areas in mathematics today is the rapidly emerging new topic of ``additive combinatorics''. Building on Gowers' use of the Freiman-Ruzsa theorem in harmonic analysis (in particular, his proof of Szemeredi's theorem), Green and Tao famously proved that there are arbitrarily long arithmetic progressions of primes, and Bourgain and his co-authors have given non-trivial estimates for hitherto untouchably short exponential sums. There are further important consequences in group theory and in complexity theory and compelling questions in ergodic theory, discrete geometry and many other disciplines. The basis of the subject is not too difficult: it can be best described as the theory of adding together sets of numbers; in particular, understanding the structure of the two original sets if their sum is small. This book brings together key researchers from all of these different areas, sharing their insights in articles meant to inspire mathematicians coming from all sorts of different backgrounds.

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