Provides a wide ranging introduction to partitions, accessible to any reader familiar with polynomials and infinite series.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
George E. Andrews is Evan Pugh Professor of Mathematics at the Pennsylvania State University. He has been a Guggenheim Fellow, the Principal Lecturer at a Conference Board for the Mathematical Sciences meeting, and a Hedrick Lecturer for the MAA. Having published extensively on the theory of partitions and related areas, he has been formally recognized for his contribution to pure mathematics by several prestigious universities and is a member of the National Academy of Sciences (USA).
Inhaltsangabe
1. Introduction 2. Euler and beyond 3. Ferrers graphs 4. The Rogers-Ramanujan identities 5. Generating functions 6. Formulas for partition functions 7. Gaussian polynomials 8. Durfee squares 9. Euler refined 10. Plane partitions 11. Growing Ferrers boards 12. Musings A. Infinite series and products B. References C. Solutions and hints.
