Description: Additive Number Theory : Inverse Problems and the Geometry of Sumsets, Hardcover by Nathanson, Melvyn B., ISBN 0387946551, ISBN-13 9780387946559, Like New Used, Free shipping in the US 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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Book Title: Additive Number Theory : Inverse Problems and the Geometry of Sum
Number of Pages: Xiv, 295 Pages
Publication Name: Additive Number Theory : Inverse Problems and the Geometry of Sumsets
Language: English
Publisher: Springer New York
Subject: Geometry / General, Number Theory
Publication Year: 1996
Item Height: 0.3 in
Item Weight: 48.3 Oz
Type: Textbook
Author: Melvyn B. Nathanson
Subject Area: Mathematics
Item Length: 9.2 in
Series: Graduate Texts in Mathematics Ser.
Item Width: 6.1 in
Format: Hardcover
