9780815353010: Additive Combinatorics
Couverture rigide
ISBN 10 : 0815353014 ISBN 13 : 9780815353010
Editeur : Chapman and Hall/CRC, 2018

Synopsis

Additive Combinatorics: A Menu of Research Problems is the first book of its kind to provide readers with an opportunity to actively explore the relatively new field of additive combinatorics. The author has written the book specifically for students of any background and proficiency level, from beginners to advanced researchers. It features an extensive menu of research projects that are challenging and engaging at many different levels. The questions are new and unsolved, incrementally attainable, and designed to be approachable with various methods.

The book is divided into five parts which are compared to a meal. The first part is called Ingredients and includes relevant background information about number theory, combinatorics, and group theory. The second part, Appetizers, introduces readers to the book’s main subject through samples. The third part, Sides, covers auxiliary functions that appear throughout different chapters. The book’s main course, so to speak, is Entrees: it thoroughly investigates a large variety of questions in additive combinatorics by discussing what is already known about them and what remains unsolved. These include maximum and minimum sumset size, spanning sets, critical numbers, and so on. The final part is Pudding and features numerous proofs and results, many of which have never been published.

Features:

  • The first book of its kind to explore the subject

  • Students of any level can use the book as the basis for research projects

  • The text moves gradually through five distinct parts, which is suitable both for beginners without prerequisites and for more advanced students

  • Includes extensive proofs of propositions and theorems

    • Each of the introductory chapters contains numerous exercises to help readers

    • Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

    À propos de l?auteur

    Béla Bajnok is a Professor of Mathematics at Gettysburg College and an endowed Alumni Chair. He holds a Ph.D. from Ohio State University and has won several teaching awards, including the Creative Teaching Award at Gettysburg College and the Crawford Teaching Award from the Mathematical Association of America.

    Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

    Éditeur
    Chapman and Hall/CRC
    Date d'édition
    2018
    Langue
    anglais
    ISBN 10 
    0815353014
    ISBN 13 
    9780815353010
    Reliure
    Relié
    Nombre de pages
    390
    Coordonnées du fabricant
    non disponible
    Personne responsable
    gpsr@libri.de
    gpsr@libri.de

    Friedensallee 273
    Hamburg
    22763
    Allemagne

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    Editeur : Chapman and Hall/CRC, 2023
    Couverture souple