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25 Remote Warehouse Mathematics- Number Theory

This title in other editions

Graduate Texts in Mathematics #165: Additive Number Theory

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Graduate Texts in Mathematics #165: Additive Number Theory Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

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 ->

Synopsis:

This book reviews results in inverse problems for finite sets of integers, culminating in Ruzsa's elegant proof 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.

Description:

Includes bibliographical references (p. [283]-291) and index.

Product Details

ISBN:
9780387946559
Author:
Nathanson, Melvyn B.
Publisher:
Springer
Location:
New York :
Subject:
Number Theory
Subject:
Geometry
Subject:
Mathematics-Number Theory
Copyright:
Edition Number:
1
Edition Description:
Book
Series:
Graduate Texts in Mathematics
Series Volume:
O165
Publication Date:
19960822
Binding:
HARDCOVER
Language:
English
Illustrations:
Yes
Pages:
310
Dimensions:
235 x 155 mm 1370 gr

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Related Subjects

Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Number Theory

Graduate Texts in Mathematics #165: Additive Number Theory New Hardcover
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Product details 310 pages Springer-Verlag - English 9780387946559 Reviews:
"Synopsis" by , 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 ->
"Synopsis" by , This book reviews results in inverse problems for finite sets of integers, culminating in Ruzsa's elegant proof 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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