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Combinatorial Number Theory and Additive Group Theory by Alfred Geroldinger
Combinatorial Number Theory and Additive Group Theory by Alfred Geroldinger
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Combinatorial Number Theory and Additive Group Theory

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Description

Additive combinatorics is a relatively recent term coined to comprehend the developments of the more classical additive number theory, mainly focussed on problems related to the addition of integers. Some classical problems like the Waring problem on the sum of k-th powers or the Goldbach conjecture are genuine examples of the original questions addressed in the area. One of the features of contemporary additive combinatorics is the interplay of a great variety of mathematical techniques, including combinatorics, harmonic analysis, convex geometry, graph theory, probability theory, algebraic geometry or ergodic theory. This book gathers the contributions of many of the leading researchers in the area and is divided into three parts. The two first parts correspond to the material of the main courses delivered, Additive combinatorics and non-unique factorizations, by Alfred Geroldinger, and Sumsets and structure, by Imre Z. Ruzsa. The third part collects thenotes of most of the seminars which accompanied the main courses, and which cover a reasonably large part of the methods, techniques and problems of contemporary additive combinatorics.              
Release date NZ
April 15th, 2009
Audience
  • Professional & Vocational
Illustrations
XI, 330 p.
Pages
330
Dimensions
170x244x18
ISBN-13
9783764389611
Product ID
2750692

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