Probability: An Introduction provides the fundamentals, requiring minimal algebraic skills from the student. It begins with an introduction to sets and set operations, progresses to counting techniques, and then presents probability in an axiomatic way, never losing sight of elucidating the subject through concrete examples. The book contains numerous examples and solved exercises taken from various fields, and includes computer explorations using Maple™.
Features & Benefits
- Clarifies concepts with numerous applied examples and exercises
- Includes end of chapter computer explorations using Maple to illustrate various topics
- Contains an optional chapter in geometric probability, random walks, game theory and Markov Chains
- Accompanying CD-ROM contains computer code and project files
- Instructor resources include solutions to exercises and PDF slides
This text is ideal for a first course in probability for both science and non-science majors.
Sample course titles: Intro Probability; Discrete Probability; A First Course in Probability; Probabilistic Systems Analysis.
Chapter 1 Sets and Functions
Chapter 2 Combinatorics
Chapter 3 Probability
Chapter 4 Conditional Probability
Chapter 5 Complete Random Variables
Chapter 6 Densities
Appendix A Various Sums
Appendix B Linear Recurrences
Appendix C Standard Normal Distribution
Appendix D Credits
David A. Santos, PhD-Assistant Professor, Community College of Philadelphia
David A. Santos, PhD has held positions at Community College of Philadelphia, the University of North Texas, the University of Puerto Rico, and the University of Pennsylvania. He has an AB in Mathematics from the University of Chicago and a PhD from the University of Michigan. His interests range from number theory, combinatorics, and algorithms to computer programming.