00000cmm a22000004a 4500 UP-99796217611212507 Buklod 20241007105011.0 m go j cr |n |||auu|a 241007s2010 mau o j | eng d 9780817680923 (eBook) 0817680926 (eBook) (iLib)UPD-00215704296 DLC eng DMLR rda eng DMLUC QA 166 R36 2011eb Ramsey theory yesterday, today, and tomorrow [electronic resource] by Alexander Soifer, editor. First edition. Boston, Massachusetts Birkhäuser Boston 2010. 1 online resource illustrations text rdacontent computer rdamedia online resource rdacarrier Progress in mathematics Volume 285. IP-based subscription, access limited to within on campus computer network. Access via Electronic Resources of the UPD University Library Website. 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. Rodl, J.H. Spencer, A. Soifer, E. Tressle Ramsey theory. Ramsey theory History. Ramsey numbers. Graph theory. Graph coloring. Mathematics. Soifer, Alexander editor. Available for UP System via Springer Link. https://link.springer.com/book/10.1007/978-0-8176-8092-3 FO UPD DMLR QA 166 R36 2011eb Electronic Resource