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- catalog abstract "This book, suitable for graduate students and professional mathematicians alike, didactically introduces methodologies due to Furstenberg and others for attacking problems in chromatic and density Ramsey theory via recurrence in topological dynamics and ergodic theory, respectively. Many standard results are proved, including the classical theorems of van der Waerden, Hindman, and Szemerédi. More importantly, the presentation strives to reflect the extent to which the field has been streamlined since breaking onto the scene around twenty years ago. Potential readers who were previously intrigued by the subject matter but found it daunting may want to give a second look.".
- catalog contributor b11554784.
- catalog created "c2000.".
- catalog date "2000".
- catalog date "c2000.".
- catalog dateCopyrighted "c2000.".
- catalog description "Includes bibliographical references and index.".
- catalog description "Ramsey Theory and Topological Dynamics -- Infinitary Ramsey Theory -- Density Ramsey Theory -- Three Ergodic Roth Theorems -- Multiple Recurrence.".
- catalog description "This book, suitable for graduate students and professional mathematicians alike, didactically introduces methodologies due to Furstenberg and others for attacking problems in chromatic and density Ramsey theory via recurrence in topological dynamics and ergodic theory, respectively. Many standard results are proved, including the classical theorems of van der Waerden, Hindman, and Szemerédi. More importantly, the presentation strives to reflect the extent to which the field has been streamlined since breaking onto the scene around twenty years ago. Potential readers who were previously intrigued by the subject matter but found it daunting may want to give a second look.".
- catalog extent "160 p. ;".
- catalog identifier "3540668098 (softcover : acid-free paper)".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1722.".
- catalog isPartOf "Lecture notes in mathematics, 0075-8434 ; 1722".
- catalog issued "2000".
- catalog issued "c2000.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog subject "510 s 511/.5 21".
- catalog subject "Combinatorics.".
- catalog subject "Global analysis (Mathematics)".
- catalog subject "Mathematics.".
- catalog subject "Measure-preserving transformations.".
- catalog subject "QA3.L28 v. 1722 QA166".
- catalog subject "Ramsey theory.".
- catalog tableOfContents "Ramsey Theory and Topological Dynamics -- Infinitary Ramsey Theory -- Density Ramsey Theory -- Three Ergodic Roth Theorems -- Multiple Recurrence.".
- catalog title "Elemental methods in ergodic Ramsey theory / Randall McCutcheon.".
- catalog type "text".