Discrete Integrable Systems: QRT Maps and Elliptic Surfaces (Repost)

Discrete Integrable Systems: QRT Maps and Elliptic Surfaces
Publisher: Springer | ISBN: 1441971165 | edition 2010 | PDF | 627 pages | 5 mb
This book is devoted to Quisped, Roberts, and Thompson (QRT) maps, considered as automorphisms of rational elliptic surfaces. The theory of QRT maps arose from problems in mathematical physics, involving difference equations. The application of QRT maps to these and other problems in the literature, including Poncelet mapping and the elliptic billiard, is examined in detail. The link between elliptic fibrations and completely integrable Hamiltonian systems is also discussed.

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Topics in Finite and Discrete Mathematics

Sheldon M. Ross, "Topics in Finite and Discrete Mathematics"
Ca-ridge Univ-sity Press | 2000 | ISBN: 0521772591 | 278 pages | Djvu | 1,3 MB
Written for students in mathematics, computer science, operations research, statistics, and engineering, this text presents a concise lively survey of several fascinating non-calculus topics in modern applied mathematics. Sheldon Ross, noted textbook author and scientist, covers probability, mathematical finance, graphs, linear programming, statistics, computer science algorithms, and groups. He offers an abundance of interesting examples not normally found in standard finite mathematics courses: options pricing and arbitrage, tournaments, and counting formulas. The chapters assume a level of mathematical sophistication at the beginning calculus level, that is, a course in pre-calculus.

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