WRITTEN FOR A BROAD AUDIENCE of students in mathematics,com-puter science, operations, statistics,and engineering, this textbook presents a short,lovely of several fascinating noncalculus topics in modern applied mathematics. Coverage inchudes probability, mathematical finance, grqphs,linear programming,statistics, computer science algorithms, and groups.A key feature is the abundance of interesting examples not normally found in standard finite mathematics courses,such as options pricing and arbitage, tour-naments, and counting formulas.
The author assumes a level of mathematical sophistication at the begin-ning calculus level; that is , students should have had at least a course in precalculus, and the added sophistication attained from studying calculus would be useful.
SHELDON M.ROSS is a professor in the Department of Industrial Engineering and Operations Research at the University of California at Berkeley. He received his Pis Ph.D. in statistics at Stanford University in 1968 and has been at at Berkekey ever since.He has published nearly 100 articles as well as a variiety of texbooks in the areas of statisitics and applied probability. He is the founding and continuing editor of the journal Probababiliy in the Engineering and Infornational Sciences, a fellow of the Institute of Mathematical Statististics, and a recipient of the Humboldt U.S. Senior Scientist Award.
1. Preliminaries
2. Combinatorial Analysis
3. Probability
4. Mathematics of Finance
5. Graphs and Trees
6. Directed Graphs
7. Linear Programming
8. Sorting and Searching
9. Statistics
10. Groups and Permutations