Aspects of combinatorics and combinatorial number theory (Record no. 13780)
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000 -LEADER | |
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fixed length control field | 01655nam a2200169 a 4500 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
ISBN | 9781842650493 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
ISBN | 1842650491 |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 511.6 |
Item number | ADH |
100 ## - MAIN ENTRY--AUTHOR NAME | |
Personal name | Adhikari, Sukumar Das |
245 ## - TITLE STATEMENT | |
Title | Aspects of combinatorics and combinatorial number theory |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
Place of publication | Pangbourne, England : |
Name of publisher | Alpha Science International, cop. |
Year of publication | 2002. |
300 ## - PHYSICAL DESCRIPTION | |
Number of Pages | xiv, 156 pages : |
Other physical details | illustrations ; |
505 ## - FORMATTED CONTENTS NOTE | |
Formatted contents note | Ch. 1. Classical Ramsey-type theorems. The Pigeonhole Principle. Theorems of Ramsey and Erdos-Szekeres. van der Waerden's Theorem. Schur's Theorem. A theorem of Hilbert --<br/>Ch. 2. van der Waerden revisited. Hales-Jewett theorem. Some variations of van der Waerden's theorem --<br/>Ch. 3. Generalizations of Schur's theorem. Rado's theorem. Folkman's theorem --<br/>Ch. 4. Topological methods. Compact semigroups and idempotents. Ramsey-type theorems --<br/>Ch. 5. Euclidean Ramsey theory. Preliminaries. Fundamental Theorems. Further Ramsey configurations. A theorem of Graham --<br/>Ch. 6. Additive number Theory and related questions. Zero-sum problems. A question of Sidon and some related problems --<br/>Ch. 7. Partitions of integers. Preliminaries. Generating functions. An identity of Euler. Parity of partition function --<br/>Ch. 8. Ramsey-type results in posets. Preliminaries. A theorem of Harzheim. Generalizations --<br/>Ch. 9. Solutions to selected exercises. |
520 ## - SUMMARY, ETC. | |
Summary, etc | The author begins with a discussion of various Ramsey-type theorems in combinatorics and combinatorial number theory. He then moves on to describe many recent Ramsey-type results in combinatorics with application of topological ideas |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Ramsey theory. |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Koha item type | Reference Books |
Collection code | Home library | Current library | Shelving location | Date acquired | Source of acquisition | Cost, normal purchase price | Full call number | Accession Number | Koha item type |
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Reference | Main Library | Main Library | Reference | 21/03/2005 | Purchased | 1185.00 | 511.6 ADH | 009577 | Reference Books |