Topics in Finite and Discrete Mathematics

Sheldon M. Ross

doi:10.1017/CBO9780511755354

Written for a broad audience of students in mathematics, computer science, operations research, statistics, and engineering, this textbook presents a short, lively survey of several fascinating non-calculus topics in modern applied mathematics. Coverage includes probability, mathematical finance, graphs, 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 arbitrage, tournaments, and counting formulas. The author assumes a level of mathematical sophistication at the beginning calculus level, that is, students should have had at least a course in pre-calculus, and the added sophistication attained from studying calculus would be useful.

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Topics in Finite and Discrete Mathematics

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Contents

Frontmatter
pp i-vi

Contents
pp vii-x

Preface
pp xi-xii

1 - Preliminaries
pp 1-33

2 - Combinatorial Analysis
pp 34-69

3 - Probability
pp 70-96

4 - Mathematics of Finance
pp 97-123

5 - Graphs and Trees
pp 124-149

6 - Directed Graphs
pp 150-179

7 - Linear Programming
pp 180-202

8 - Sorting and Searching
pp 203-219

9 - Statistics
pp 220-236

10 - Groups and Permutations
pp 237-262

Index
pp 263-265

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