Combinatorial Number Theory and Additive Group Theory (Advanced Courses in Mathematics - CRM Barcelona) |  | Authors: Alfred Geroldinger, Imre Z. Ruzsa
Publisher: Birkhäuser Basel
List Price: $54.95
Buy New: $44.34
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Sales Rank: 1989550
Media: Paperback
Edition: 1
Pages: 330
Number Of Items: 1
Shipping Weight (lbs): 1.9
Dimensions (in): 9.4 x 6.7 x 0.9
ISBN: 3764389613
Dewey Decimal Number: 511
EAN: 9783764389611
ASIN: 3764389613
Publication Date: May 1, 2009
Availability: Usually ships in 1-2 business days
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Product Description
Additive combinatorics is a relatively recent term coined to comprehend the developments of the more classical additive number theory, mainly focused 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 the notes 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.
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