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- catalog abstract ""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 something quite rare for a book at this level: a glimpse into the world of mathematical research and the opportunity to begin pondering unsolved problems themselves." "This book on Ramsey theory, 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 subarea of Ramsey theory. The result is a book that will engage students, teachers, and researchers alike."--Jacket.".
- catalog contributor b13089804.
- catalog contributor b13089805.
- catalog created "c2004.".
- catalog date "2004".
- catalog date "c2004.".
- catalog dateCopyrighted "c2004.".
- catalog description ""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 something quite rare for a book at this level: a glimpse into the world of mathematical research and the opportunity to begin pondering unsolved problems themselves." "This book on Ramsey theory, 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 subarea of Ramsey theory. The result is a book that will engage students, teachers, and researchers alike."--Jacket.".
- catalog description "Ch. 1. Preliminaries -- Ch. 2. Van der Waerden's Theorem -- Ch. 3. Supersets of AP -- Ch. 4. Subsets of AP -- Ch. 5. Other Generalizations of w(k:r) -- Ch. 6. Arithmetic Progressions (mod m) -- Ch. 7. Other Variations on van der Waerden's Theorem -- Ch. 8. Schur's Theorem -- Ch. 9. Rado's Theorem -- Ch. 10. Other Topics.".
- catalog description "Includes bibliographical references (p. 297-313) and index.".
- catalog extent "xvi, 317 p. ;".
- catalog identifier "0821831992 (softcover : alk. paper)".
- catalog isPartOf "Student mathematical library, 1520-9121 ; v. 24".
- catalog issued "2004".
- catalog issued "c2004.".
- catalog language "eng".
- catalog publisher "Providence, R.I. : American Mathematical Society,".
- catalog subject "511/.66 22".
- catalog subject "QA166 .L34 2004".
- catalog subject "Ramsey theory.".
- catalog tableOfContents "Ch. 1. Preliminaries -- Ch. 2. Van der Waerden's Theorem -- Ch. 3. Supersets of AP -- Ch. 4. Subsets of AP -- Ch. 5. Other Generalizations of w(k:r) -- Ch. 6. Arithmetic Progressions (mod m) -- Ch. 7. Other Variations on van der Waerden's Theorem -- Ch. 8. Schur's Theorem -- Ch. 9. Rado's Theorem -- Ch. 10. Other Topics.".
- catalog title "Ramsey theory on the integers / Bruce M. Landman, Aaron Robertson.".
- catalog type "text".