Topics in Finite and Discrete Mathematics

ISBN-13: 9780521772594 / Angielski / Twarda / 2000 / 278 str.

Berkeley) Sheldon M. Ross (University of California

Opis

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.

Spis treści

1. Preliminaries; 2. Combinatorial analysis; 3. Probability; 4. Mathematics of finance; 5. Graphs and trees; 6. Direct graphs; 7. Linear programming; 8. Sorting and searching; 9. Statistics; 10. Groups and permutations.