(eBook PDF) Knowing the Odds An Introduction to Probability – Digital Ebook – Instant Delivery Download
Product details:
- ISBN-10 : 0821885324
- ISBN-13 : 978-0821885321
- Author: John B. Walsh
John Walsh, one of the great masters of the subject, has written a superb book on probability at exactly this level. It covers at a leisurely pace all the important topics that students need to know, and provides excellent examples. I regret his book was not available when I taught such a course myself, a few years ago. –Ioannis Karatzas, Columbia University In this wonderful book, John Walsh presents a panoramic view of Probability Theory, starting from basic facts on mean, median and mode, continuing with an excellent account of Markov chains and martingales, and culminating with Brownian motion. Throughout, the author’s personal style is apparent; he manages to combine rigor with an emphasis on the key ideas so the reader never loses sight of the forest by being surrounded by too many trees.
Table contents:
Chapter 1. Probability spaces
Chapter 2. Random variables
Chapter 3. Expectations II: The general case
Chapter 4. Convergence
Chapter 5. Laws of large numbers
Chapter 6. Convergence in distribution and the CLT
Chapter 7. Markov chains and random walks
Chapter 8. Conditional expectations
Chapter 9. Discrete-parameter martingales
Chapter 10. Brownian motion
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