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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.
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Reseña 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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Additive Combinatorics (Crm Proceedings and Lecture Notes)
Publicado por
American Mathematical Society, 2007
ISBN 10: 0821843516
ISBN 13: 9780821843512
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Condición: New. 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. . . . . Nº de ref. del artículo: V9780821843512
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Additive Combinatorics
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Amer Mathematical Society, 2007
ISBN 10: 0821843516
ISBN 13: 9780821843512
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Additive Combinatorics
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MP-AMM American Mathematical, 2007
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ISBN 13: 9780821843512
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Additive Combinatorics (Crm Proceedings and Lecture Notes)
Publicado por
American Mathematical Society, 2007
ISBN 10: 0821843516
ISBN 13: 9780821843512
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Condición: New. 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. . . . . Books ship from the US and Ireland. Nº de ref. del artículo: V9780821843512
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Additive Combinatorics
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American Mathematical Society, 2007
ISBN 10: 0821843516
ISBN 13: 9780821843512
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Kartoniert / Broschiert. Condición: New. 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. Nº de ref. del artículo: 595068053
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Additive Combinatorics
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American Mathematical Society, 2007
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Additive Combinatorics
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ISBN 13: 9780821843512
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