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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Glavni avtor: Soifer, Alexandre, 1948-
Drugi avtorji: Soifer, Alexander (Éditeur intellectuel)
Format: Livre numérique
Jezik:Anglais
Izdano: Boston, MA : Birkhäuser Boston [20..].
Cham : Springer Nature
Izdaja:1st ed. 2011.
Serija:Progress in Mathematics 285
Teme:
Online dostop:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Sporočilo: 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
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504 |a Notes bibliogr. 
505 1 |a How This Book Came into Being Table of Contents Ramsey Theory before Ramsey, Prehistory and Early History: An Essay in 13 Parts Eighty Years of Ramsey R(3, k). . . and Counting! Ramsey Numbers Involving Cycles On the function of Erd´s and Rogers Large Monochromatic Components in Edge Colorings of Graphs Szlam s Lemma: Mutant Offspring of a Euclidean Ramsey Problem: From 1973, with Numerous Applications Open Problems in Euclidean Ramsey Theory Chromatic Number of the Plane and Its Relatives, History, Problems and Results: An Essay in 11 Parts Euclidean Distance Graphs on the Rational Points Open Problems Session 
506 |a Accès en ligne pour les établissements français bénéficiaires des licences nationales 
506 |a Accès soumis à abonnement pour tout autre établissement 
506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a 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 
650 |a Théorie de Ramsey  |x Histoire 
650 |a Nombres de Ramsey 
650 |a Théorie des graphes 
650 |a Coloriage de graphes 
650 |a Théorie de Ramsey 
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