MARC details
| 000 -LEADER |
|---|
| fixed length control field |
02859nam a22002897a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
|---|
| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
|---|
| control field |
20250212094513.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
|---|
| fixed length control field |
250212b |||||||| |||| 00| 0 hin d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9783030301163 |
| 040 ## - CATALOGING SOURCE |
|---|
| Original cataloging agency |
NISER LIBRARY |
| Language of cataloging |
eng |
| Transcribing agency |
NISER LIBRARY |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
510 |
| Item number |
PRO-R |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Prömel, Hans Jürgen |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Ramsey theory for discrete structures |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication, distribution, etc. |
Cham : |
| Name of publisher, distributor, etc. |
Springer International Publishing, |
| Date of publication, distribution, etc. |
2020. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xvi, 232 pages : |
| Other physical details |
13 illustrations |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
This monograph covers some of the most important developments in Ramsey theory from its beginnings in the early 20th century via its many breakthroughs to recent important developments in the early 21st century.<br/><br/>The book first presents a detailed discussion of the roots of Ramsey theory before offering a thorough discussion of the role of parameter sets. It presents several examples of structures that can be interpreted in terms of parameter sets and features the most fundamental Ramsey-type results for parameter sets: Hales-Jewett's theorem and Graham-Rothschild¹s Ramsey theorem as well as their canonical versions and several applications. Next, the book steps back to the most basic structure, to sets. It reviews classic results as well as recent progress on Ramsey numbers and the asymptotic behavior of classical Ramsey functions. In addition, it presents product versions of Ramsey's theorem, a combinatorial proof of the incompleteness of Peano arithmetic, provides a digression to discrepancy theory and examines extensions of Ramsey's theorem to larger cardinals. The next part of the book features an in-depth treatment of the Ramsey problem for graphs and hypergraphs. It gives an account on the existence of sparse and restricted Ramsey theorem's using sophisticated constructions as well as probabilistic methods. Among others it contains a proof of the induced Graham-Rothschild theorem and the random Ramsey theorem. The book closes with a chapter on one of the recent highlights of Ramsey theory: a combinatorial proof of the density Hales-Jewett theorem.<br/><br/>This book provides graduate students as well as advanced researchers with a solid introduction and reference to the field. |
| 588 ## - SOURCE OF DESCRIPTION NOTE |
|---|
| Source of description note |
Description based on publisher-supplied MARC data. |
| 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 |
Computer science |
| General subdivision |
Mathematics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Discrete mathematics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Ramsey theory |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Discrete mathematics in computer science. |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Electronic version |
| Uniform Resource Identifier |
<a href="https://link.springer.com/book/10.1007/978-3-319-01315-2">https://link.springer.com/book/10.1007/978-3-319-01315-2</a> |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Table of content |
| Uniform Resource Identifier |
<a href="https://link.springer.com/content/pdf/bfm:978-3-319-01315-2/1">https://link.springer.com/content/pdf/bfm:978-3-319-01315-2/1</a> |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Reviews |
| Uniform Resource Identifier |
<a href="https://www.goodreads.com/book/show/19340823-ramsey-theory-for-discrete-structures?from_search=true&from_srp=true&qid=3rj7yiKxeg&rank=5#CommunityReviews">https://www.goodreads.com/book/show/19340823-ramsey-theory-for-discrete-structures?from_search=true&from_srp=true&qid=3rj7yiKxeg&rank=5#CommunityReviews</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Universal Decimal Classification |
| Koha item type |
Book |
