A First Course in Probability – Sheldon M. Ross – 7th Edition


For upper-level or undergraduate/graduate level for math, science, engineering, and students with a background in elementary calculus. This highly successful text is written as an elementary introduction to the mathematical theory of for students in mathematics, engineering, and the sciences who possess the prerequisite knowledge of elementary calculus.

For math majors and other students with a strong background, however, this may serve as a useful reference. It is concise, elegant and chock full of example with solutions. But it all depends on what you are ready for.

Some may find the excessive number of example distasteful and prefer a less cluttered treatment. Others may find that, despite the examples, the is not “applied” enough. In my opinion, this book is not suitable as a first in for anyone but mathematics majors.

You will get the most out of this if you are already familiar with the subject, or if you have a talented teacher to fill in the numerous gaps. For actuarial students and engineers, you may want to look for a more expository volume like “Introduction to Probability” by Bertsekas.

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Table of Contents

1. Combinatorial Analysis.
2. Axioms of Probability.
3. Conditional Probability and Independence.
4. Random Variables.
5. Continuous Random Variables.
6. Jointly Distributed Random Variables.
7. Properties of Expectation.
8. Limit Theorems.
9. Additional Topics in Probability.
10. Simulation.

Appendix A. Answers to Selected Problems.
Appendix B. Solutions to Self-Test Problems and Exercises.

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