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Additive Combinatorics
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Additive Combinatorics

Additive Combinatorics

Bela bajnok (author)

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490 pages, parution le 07/03/2018
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Résumé

Bela Bajnok is Professor of Mathematics at Gettysburg College and endowed Alumni Chair. He holds a PhD from Ohio State University. He has won several teaching awards, including the Creative Teaching Award at Gettysburg College and the Crawford Teaching Award from the Mathematical Association of America.
He is Director of the American Mathematics Competitions and I am on the Board of Pro Mathematica Arte (the organization that runs the Budapest Semesters in Mathematics).Preface, Notations, I Ingredients, 1 Number Theory, 2 Combinatorics, 3 Graph Theory; II Appetizers: Spherical Designs and More; III Sides, Functions; IV. Entres, A Maximum Supset Size, B Spanning Sets, C Sidon Sets; D Minimum Subset Size, E The Critical Number, F Zero-Sum-Free Sets, G Sum-Free Sets; V. Pudding: Proof of Propositions and Theorems; Bibilography; IndexThis book deals with additive combinatorics, a vibrant area of current mathematical research. Additive combinatorics - an offspring of combinatorial number theory and additive number theory - can be described as the study of combinatorial properties of sumsets in additive structures. It is a rather new field that is just now coming to its own; although some of its results have been known for centuries, many of its fundamental questions have only been settled recently or are still unsolved. For this and many other reasons, additive combinatorics provides an excellent area for research by students of any background: it has intriguing and promising questions for everyone.1st editionIllustrations1FloridaBoca RatonBela Bajnok.Discrete Mathematics and Its Applications

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Éditeur(s) Taylor&francis
Auteur(s) Bela bajnok (author)
Parution 07/03/2018
Nb. de pages 490
Format 156 x 235
EAN13 9780815353010

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