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Rating: 
Summary: Very good math textbook
Review: I will give separate rate to Chapter 1, 2, 6 since I have only learned these 3 chapters in class.
Chapter 1. Preliminaries --- 5/5 very well written
Chapter 2. Markov Chains --- 6/5 superbly written
Chapter 6. Brownian Motion --- 3/5 could have been explained in a simpler way
This book is very accessible to beginners who have a good math sense, but it's not recommended for non-math major.
Rating:
Summary: Very good math textbook
Review: I will give separate rate to Chapter 1, 2, 6 since I have only learned these 3 chapters in class.
Chapter 1. Preliminaries --- 5/5 very well written
Chapter 2. Markov Chains --- 6/5 superbly written
Chapter 6. Brownian Motion --- 3/5 could have been explained in a simpler way
This book is very accessible to beginners who have a good math sense, but it's not recommended for non-math major.
Rating: 
Summary: Pretty good.
Review: This book gives the basic essentials of stochastic processes in a rigorous yet very readable way. The standart subjects (Discrete time/continuous time Markov chains, renewal processes, Poisson processes) are treated in good detail. Some more advanced subjects (Brownian motion and general random walk) are also given. The presentation is very organized, and the author gives many interesting (and mostly, fun to read) examples. The introductory material in chapter 1 is very detailed. Chapter 2 on discrete time MC's is excellent. (I especially enjoyed seeing the interplay between convergence of time-averages and distributions). This book is obviously more advanced than some other texts in this area (e.g., S. M. Ross - Stochastic Processes), and it emphasizes the technicality behind the proofs a bit more. I think that after learning the basic ideas in some undergrad level course, it is easier to read. One drawback of the book is that in some places the treatment is a bit dry (e.g., in the beginning of chapter 3 - Renewal processes). Overall, I give it 4.5 / 5 stars.
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