Aspects of combinatorics and combinatorial number theory
Material type:
- 9781842650493
- 1842650491
- 511.6 ADH
Item type | Current library | Collection | Call number | Status | Date due | Barcode | Item holds | |
---|---|---|---|---|---|---|---|---|
![]() |
Main Library Reference | Reference | 511.6 ADH (Browse shelf(Opens below)) | Available | 009577 |
Browsing Main Library shelves, Shelving location: Reference, Collection: Reference Close shelf browser (Hides shelf browser)
511.5 KOC Graphs, algorithms, and optimization / | 511.5 WES Introduction to graph theory / | 511.5076 BAL Schaum's outline of theory and problems of graph theory | 511.6 ADH Aspects of combinatorics and combinatorial number theory | 511.6 PEM Computational discrete mathematics : combinatorics and graph theory with Mathematica | 511.6 TUC Applied Combinatorics | 511.64 HAR Combinatorics and graph theory |
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 --
Ch. 2. van der Waerden revisited. Hales-Jewett theorem. Some variations of van der Waerden's theorem --
Ch. 3. Generalizations of Schur's theorem. Rado's theorem. Folkman's theorem --
Ch. 4. Topological methods. Compact semigroups and idempotents. Ramsey-type theorems --
Ch. 5. Euclidean Ramsey theory. Preliminaries. Fundamental Theorems. Further Ramsey configurations. A theorem of Graham --
Ch. 6. Additive number Theory and related questions. Zero-sum problems. A question of Sidon and some related problems --
Ch. 7. Partitions of integers. Preliminaries. Generating functions. An identity of Euler. Parity of partition function --
Ch. 8. Ramsey-type results in posets. Preliminaries. A theorem of Harzheim. Generalizations --
Ch. 9. Solutions to selected exercises.
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
There are no comments on this title.