Ramsey Theory (Record no. 105090)
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000 -LEADER | |
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fixed length control field | 03614nam a22004935i 4500 |
001 - CONTROL NUMBER | |
control field | 978-0-8176-8092-3 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | DE-He213 |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20140220083711.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
fixed length control field | cr nn 008mamaa |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 101029s2011 xxu| s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9780817680923 |
-- | 978-0-8176-8092-3 |
024 7# - OTHER STANDARD IDENTIFIER | |
Standard number or code | 10.1007/978-0-8176-8092-3 |
Source of number or code | doi |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
Classification number | QA164-167.2 |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | PBV |
Source | bicssc |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | MAT036000 |
Source | bisacsh |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 511.6 |
Edition number | 23 |
100 1# - MAIN ENTRY--PERSONAL NAME | |
Personal name | Soifer, Alexander. |
Relator term | editor. |
245 10 - TITLE STATEMENT | |
Title | Ramsey Theory |
Medium | [electronic resource] : |
Remainder of title | Yesterday, Today, and Tomorrow / |
Statement of responsibility, etc | edited by Alexander Soifer. |
250 ## - EDITION STATEMENT | |
Edition statement | 1. |
264 #1 - | |
-- | Boston, MA : |
-- | Birkhäuser Boston : |
-- | Imprint: Birkhäuser, |
-- | 2011. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | XIV, 190p. 28 illus. |
Other physical details | online resource. |
336 ## - | |
-- | text |
-- | txt |
-- | rdacontent |
337 ## - | |
-- | computer |
-- | c |
-- | rdamedia |
338 ## - | |
-- | online resource |
-- | cr |
-- | rdacarrier |
347 ## - | |
-- | text file |
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-- | rda |
490 1# - SERIES STATEMENT | |
Series statement | Progress in Mathematics ; |
Volume number/sequential designation | 285 |
505 0# - FORMATTED CONTENTS NOTE | |
Formatted contents note | 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 Erdὅs 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. |
520 ## - SUMMARY, ETC. | |
Summary, etc | 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 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Mathematics. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Differentiable dynamical systems. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Combinatorics. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Discrete groups. |
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Mathematics. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Combinatorics. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Dynamical Systems and Ergodic Theory. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Convex and Discrete Geometry. |
710 2# - ADDED ENTRY--CORPORATE NAME | |
Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY | |
Title | Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
Display text | Printed edition: |
International Standard Book Number | 9780817680916 |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
Uniform title | Progress in Mathematics ; |
Volume number/sequential designation | 285 |
856 40 - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | http://dx.doi.org/10.1007/978-0-8176-8092-3 |
912 ## - | |
-- | ZDB-2-SMA |
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