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Many classical problems in additive number theory are direct problems, in which one starts with a set A of natural numbers and an integer H -> 2, and tries to describe the structure of the sumset hA consisting of all sums of h elements of A. By contrast, in an inverse problem, one starts with a sumset hA, and attempts to describe the structure of the underlying set A. In recent years there has been ramrkable progress in the study of inverse problems for finite sets of integers. In particular, there are important and beautiful inverse theorems due to Freiman, Kneser, Plünnecke, Vosper, and others. This volume includes their results, and culminates with an elegant proof by Ruzsa of the deep theorem of Freiman that a finite set of integers with a small sumset must be a large subset of an n-dimensional arithmetic progression.
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Additive Number Theory: Inverse Problems and the Geometry of Sumsets
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Springer-Verlag New York Inc., 1996
ISBN 10: 0387946551
ISBN 13: 9780387946559
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Da: World of Books (was SecondSale), Montgomery, IL, U.S.A.
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Hardback. Condizione: Very Good. Many classical problems in additive number theory are direct problems, in which one starts with a set A of natural numbers and an integer h(actual symbol not reproducible)2 and tries to describe the structure of the sumset hA consisting of all sums of h elements of A. In contrast, in an inverse problem, one starts with a sumset hA and attempts to describe the structure of the underlying set A. In recent years, there has been remarkable progress in the study of inverse problems for finite sets of integers. In particular, there are important and beautiful inverse theorems due to Freiman, Kneser, Plunnecke, Vospel and others. This volume includes their results and culminates with an elegant proof by Rusza of the deep theorem of Freiman that a finite set of integers with a small sumset must be a large subset of an n-dimensional arithmetic progression. Inverse problems are a central topic in additive number theory. This graduate text gives a comprehensive and self-contained account of this subject. In particular, it contains complete proofs of results from exterior algebra, combinatorics, graph theory, and the geometry of numbers that are used in the proofs of the principal inverse theorems. The only prerequisites for the book are undergraduate courses in algebra, number theory, and analysis. Codice articolo 00108786655
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Additive Number Theory: Inverse Problems and the Geometry of Sumsets
Editore:
Springer-Verlag New York Inc., 1996
ISBN 10: 0387946551
ISBN 13: 9780387946559
Antico o usato
Rilegato
Da: World of Books Inc, Montgomery, IL, U.S.A.
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Hardback. Condizione: Very Good. Many classical problems in additive number theory are direct problems, in which one starts with a set A of natural numbers and an integer h(actual symbol not reproducible)2 and tries to describe the structure of the sumset hA consisting of all sums of h elements of A. In contrast, in an inverse problem, one starts with a sumset hA and attempts to describe the structure of the underlying set A. In recent years, there has been remarkable progress in the study of inverse problems for finite sets of integers. In particular, there are important and beautiful inverse theorems due to Freiman, Kneser, Plunnecke, Vospel and others. This volume includes their results and culminates with an elegant proof by Rusza of the deep theorem of Freiman that a finite set of integers with a small sumset must be a large subset of an n-dimensional arithmetic progression. Inverse problems are a central topic in additive number theory. This graduate text gives a comprehensive and self-contained account of this subject. In particular, it contains complete proofs of results from exterior algebra, combinatorics, graph theory, and the geometry of numbers that are used in the proofs of the principal inverse theorems. The only prerequisites for the book are undergraduate courses in algebra, number theory, and analysis. Codice articolo CIN0387946551VG
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Additive Number Theory: Inverse Problems and the Geometry of Sumsets (Graduate Texts in Mathematics) (Vol 165)
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Hardcover. Condizione: Good. Ex-library copy, with the usual markings/stickers/stamping present. Book & text block show general shelf & handling wear. Pages are slightly worn. Preliminary pages may have a few markings; otherwise, interiors are intact with unmarked text/pictures. Good reading copy! Codice articolo mon0004257284
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Additive Number Theory : Inverse Problems and the Geometry of Sumsets
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Condizione: Good. 1996th Edition. Pages intact with minimal writing/highlighting. The binding may be loose and creased. Dust jackets/supplements are not included. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good. Codice articolo 16242891-6
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Additive Number Theory : Inverse Problems and the Geometry of Sumsets
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Condizione: As New. Unread book in perfect condition. Codice articolo 671688
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Additive Number Theory: Inverse Problems and the Geometry of Sumsets (Graduate Texts in Mathematics, 165)
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Additive Number Theory: Inverse Problems and the Geometry of Sumsets
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Many classical problems in additive number theory are direct problems, in which one starts with a set A of natural numbers and an integer H -> 2, and tries to describe the structure of the sumset hA consisting of all sums of h elements of A. By contrast, in an inverse problem, one starts with a sumset hA, and attempts to describe the structure of the underlying set A. In recent years there has been ramrkable progress in the study of inverse problems for finite sets of integers. In particular, there are important and beautiful inverse theorems due to Freiman, Kneser, Plünnecke, Vosper, and others. This volume includes their results, and culminates with an elegant proof by Ruzsa of the deep theorem of Freiman that a finite set of integers with a small sumset must be a large subset of an n-dimensional arithmetic progression. 312 pp. Englisch. Codice articolo 9780387946559
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Additive Number Theory: Inverse Problems and the Geometry of Sumsets (Graduate Texts in Mathematics, 165)
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Condizione: New. In English. Codice articolo ria9780387946559_new
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Additive Number Theory : Inverse Problems and the Geometry of Sumsets
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