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| fixed length control field |
a |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
230416b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781138364332 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
511.5 |
| Item number |
ROB |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Robertson, Aaron |
| 245 ## - TITLE STATEMENT |
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| Title |
Fundamentals of Ramsey theory |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Name of publisher, distributor, etc |
CRC Press, |
| Date of publication, distribution, etc |
2021 |
| Place of publication, distribution, etc |
Boca Raton : |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xiii, 241 p.; |
| Other physical details |
ill., |
| Dimensions |
24 cm |
| 365 ## - TRADE PRICE |
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| Price amount |
74.99 |
| Price type code |
GBP |
| Unit of pricing |
104.20 |
| 490 ## - SERIES STATEMENT |
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| Series statement |
Discrete mathematics and its applications |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
Ramsey theory is a fascinating topic. The author shares his view of the topic in this contemporary overview of Ramsey theory. He presents from several points of view, adding intuition and detailed proofs, in an accessible manner unique among most books on the topic. This book covers all of the main results in Ramsey theory along with results that have not appeared in a book before. The presentation is comprehensive and reader friendly. The book covers integer, graph, and Euclidean Ramsey theory with many proofs being combinatorial in nature. The author motivates topics and discussion, rather than just a list of theorems and proofs. In order to engage the reader, each chapter has a section of exercises. This up-to-date book introduces the field of Ramsey theory from several different viewpoints so that the reader can decide which flavor of Ramsey theory best suits them. Additionally, the book offers: A chapter providing different approaches to Ramsey theory, e.g., using topological dynamics, ergodic systems, and algebra in the Stone-Čech compactification of the integers. A chapter on the probabilistic method since it is quite central to Ramsey-type numbers. A unique chapter presenting some applications of Ramsey theory. Exercises in every chapter The intended audience consists of students and mathematicians desiring to learn about Ramsey theory. An undergraduate degree in mathematics (or its equivalent for advanced undergraduates) and a combinatorics course is assumed. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Combinatorics |
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| Topical term or geographic name as entry element |
Aruoutov-Folkman-Rado-Sanders' theorem |
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Bonferroni inequalities |
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| Topical term or geographic name as entry element |
Compactness principle |
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| Topical term or geographic name as entry element |
de Bruijn-Erdos theorem |
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Erdos-Ko-Rado theorem |
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| Topical term or geographic name as entry element |
Euler's formula |
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| Topical term or geographic name as entry element |
Fermat's last theorem |
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| Topical term or geographic name as entry element |
Hindman's theorem |
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| Topical term or geographic name as entry element |
Infinite Ramsey theorem |
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| Topical term or geographic name as entry element |
Krylov-Bogoliubov theorem |
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| Topical term or geographic name as entry element |
Lefmann's theorem |
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| Topical term or geographic name as entry element |
Multiple Birkoff Recurrence theorem |
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Redo's theorem for powers |
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Steiner system |
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Tychonoff's theorem |
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| Topical term or geographic name as entry element |
Van der Waerden's theorem |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
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| Item type |
Books |