Articles liés à Ramsey Theory on the Integers

Ramsey Theory on the Integers - Couverture souple

Landman, Bruce M.; Robertson, Aaron

 
9780821898673: Ramsey Theory on the Integers
Couverture souple
ISBN 10 : 0821898671 ISBN 13 : 9780821898673
Editeur : American Mathematical Society, 2014

Synopsis

Ramsey theory is the study of the structure of mathematical objects that is preserved under partitions. In its full generality, Ramsey theory is quite powerful, but can quickly become complicated. By limiting the focus of this book to Ramsey theory applied to the set of integers, the authors have produced a gentle, but meaningful, introduction to an important and enticing branch of modern mathematics. Ramsey Theory on the Integers offers students a glimpse into the world of mathematical research and the opportunity for them to begin pondering unsolved problems.

For this new edition, several sections have been added and others have been significantly updated. Among the newly introduced topics are: rainbow Ramsey theory, an “inequality” version of Schur's theorem, monochromatic solutions of recurrence relations, Ramsey results involving both sums and products, monochromatic sets avoiding certain differences, Ramsey properties for polynomial progressions, generalizations of the Erdos-Ginzberg-Ziv theorem, and the number of arithmetic progressions under arbitrary colorings. Many new results and proofs have been added, most of which were not known when the first edition was published. Furthermore, the book's tables, exercises, lists of open research problems, and bibliography have all been significantly updated.

This innovative book also provides the first cohesive study of Ramsey theory on the integers. It contains perhaps the most substantial account of solved and unsolved problems in this blossoming subject. This breakthrough book will engage students, teachers, and researchers alike.

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

À propos de l'auteur

Bruce M. Landman, State University of West Georgia, Carrollton, GA, USA.

Aaron Robertson, Colgate University, Hamilton, NY, USA.

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

Éditeur
American Mathematical Society
Date d'édition
2014
Langue
anglais
ISBN 10 
0821898671
ISBN 13 
9780821898673
Reliure
Broché
Numéro d'édition
2
Nombre de pages
384
Coordonnées du fabricant
non disponible
Personne responsable
non disponible