Ramsey theory : yesterday, today, and tomorrow
Ramsey theory is a relatively new, approximately 100 year-old direction of fascinating mathematical thought that touches on many classic fields of mathematics such as combinatorics, number theory, geometry, ergodic theory, topology, combinatorial geometry, set theory, and measure theory. Ramsey theo...
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| Altres autors: | |
| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Edició: | 1st ed. 2011. |
| Col·lecció: | Progress in Mathematics
285 |
| Matèries: | |
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Description d'après consultation du 23 avril 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Ramsey theory, yesterday, today, and tomorrow, Alexander Soifer, ed., [Boston], Birkhäuser, Springer, 2011, 1 vol. (XIV-189 p.), Progress in mathematics, 978-0-8176-8091-6 • Ramsey theory, yesterday, today, and tomorrow, Alexander Soifer, ed., [Boston], Birkhäuser, Springer, 2011, 1 vol. (XIV-189 p.), Progress in mathematics, 978-0-8176-8091-6 • Ramsey Theory, Texte imprimé, 9780817680930 |
| Sumari: | Ramsey theory is a relatively new, approximately 100 year-old direction of fascinating mathematical thought that touches on many classic fields of mathematics such as combinatorics, number theory, geometry, ergodic theory, topology, combinatorial geometry, set theory, and measure theory. Ramsey theory possesses its own unifying ideas, and some of its results are among the most beautiful theorems of mathematics. The underlying theme of Ramsey theory can be formulated as: any finite coloring of a large enough system contains a monochromatic subsystem of higher degree of organization than the system itself, or as T.S. Motzkin famously put it, absolute disorder is impossible. Ramsey Theory: Yesterday, Today, and Tomorrow explores the theory s history, recent developments, and some promising future directions through invited surveys written by prominent researchers in the field. The first three surveys provide historical background on the subject; the last three address Euclidean Ramsey theory and related coloring problems. In addition, open problems posed throughout the volume and in the concluding open problem chapter will appeal to graduate students and mathematicians alike. Contributors: J. Burkert, A. Dudek, R.L. Graham, A. Gyárfás, P.D. Johnson, Jr., S.P. Radziszowski, V. Rödl, J.H. Spencer, A. Soifer, E. Tressler |
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| Descripció de l’ítem: | Description d'après consultation du 23 avril 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Bibliografia: | Notes bibliogr. |
| ISBN: | 9780817680923 |
| ISSN: | 2296-505X |
| Accés: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |