Combinatorial Number Theory and Additive Group Theory

Imre Ruzsa

ISBN 10: 3764389613 / ISBN 13: 9783764389611

Edité par Birkhäuser Basel, 2009

A propos de cet article

Druck auf Anfrage Neuware - Printed after ordering - 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 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.

N° de réf. du vendeur 9783764389611

Détails bibliographiques

• Titre: Combinatorial Number Theory and Additive Group Theory
• Éditeur: Birkhäuser Basel
• Date de parution: 2009
• Langue: anglais
• ISBN à 10 chiffres: 3764389613
• ISBN à 13 chiffres: 9783764389611
• Reliure: Taschenbuch
• État de l'article: Neu
• Dimensions: 240 L x 170 H x 19 P (en millimètres) 240 millimètres de largeur par 170 millimètres de hauteur par 19 millimètres de profondeur
• Poids: 592 grammes

A propos de ce titre

Synopsis

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 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.