Ramsey Theory on the Integers

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9780821898673: Ramsey Theory on the Integers

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.

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Landman, Bruce M.; Robertson, Aaron
ISBN 10: 0821898671 ISBN 13: 9780821898673
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Descrizione libro Condizione libro: New. Depending on your location, this item may ship from the US or UK. Codice libro della libreria 97808218986730000000

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Bruce M. Landman, Aaron Robertson
Editore: American Mathematical Society, United States (2014)
ISBN 10: 0821898671 ISBN 13: 9780821898673
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Descrizione libro American Mathematical Society, United States, 2014. Paperback. Condizione libro: New. 2nd Revised edition. 216 x 140 mm. Language: English . Brand New Book. 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. Codice libro della libreria AAN9780821898673

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Bruce M. Landman, Aaron Robertson
Editore: American Mathematical Society, United States (2014)
ISBN 10: 0821898671 ISBN 13: 9780821898673
Nuovi Paperback Quantità: 1
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Descrizione libro American Mathematical Society, United States, 2014. Paperback. Condizione libro: New. 2nd Revised edition. 216 x 140 mm. Language: English . Brand New Book. 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. Codice libro della libreria AAN9780821898673

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Bruce M. Landman, Aaron Robertson
Editore: American Mathematical Society
ISBN 10: 0821898671 ISBN 13: 9780821898673
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Descrizione libro American Mathematical Society. Paperback. Condizione libro: new. BRAND NEW, Ramsey Theory on the Integers (2nd Revised edition), Bruce M. Landman, Aaron Robertson, 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. Codice libro della libreria B9780821898673

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Descrizione libro American Mathematical Society, 2014. PAP. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria CE-9780821898673

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Descrizione libro Condizione libro: New. Codice libro della libreria 23053221-n

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Descrizione libro Amer Mathematical Society, 2014. Paperback. Condizione libro: Brand New. 2nd edition. 384 pages. 8.50x5.50x1.00 inches. In Stock. Codice libro della libreria __0821898671

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Descrizione libro 2014. Paperback. Condizione libro: New. 2nd Revised edition. 216mm x 140mm x. Paperback. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. 396 pages. Codice libro della libreria 9780821898673

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Descrizione libro American Mathematical Society, 2014. Paperback. Condizione libro: New. 2nd Revised edition. 14 x 21.6 cm. Our orders are sent from our warehouse locally or directly from our international distributors to allow us to offer you the best possible price and delivery time. Book. Codice libro della libreria MM-60717221

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