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101029s2011 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9780817680923 |
|
978-0-8176-8092-3 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA164-167.2 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
511.6 |
| Edition number |
23 |
| 264 #1 - |
|---|
| -- |
Boston, MA : |
| -- |
Birkhäuser Boston : |
| -- |
Imprint: Birkhäuser, |
| -- |
2011. |
| 912 ## - |
|---|
| -- |
ZDB-2-SMA |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Soifer, Alexander. |
| Relator term |
editor. |
| 245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
|---|
| 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. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
XIV, 190p. 28 illus. |
| Other physical details |
online resource. |
| 440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
|---|
| Title |
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. |
|
|---|
| Topical term or geographic name as entry element |
Differentiable dynamical systems. |
|
|---|
| Topical term or geographic name as entry element |
Combinatorics. |
|
|---|
| Topical term or geographic name as entry element |
Discrete groups. |
|
|---|
| Topical term or geographic name as entry element |
Mathematics. |
|
|---|
| Topical term or geographic name as entry element |
Combinatorics. |
|
|---|
| Topical term or geographic name as entry element |
Dynamical Systems and Ergodic Theory. |
|
|---|
| 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 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-0-8176-8092-3 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Item type |
E-Book |
