Finding a Probability Book for Physics Students for a Complex Course

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mastrofoffi
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Hello, I'm taking a course in Probability for which our only resource is our professor's notes but I find them somewhat hard to follow. He told us he wrote these notes because he could not find a book which contained all the topics we'll be doing, but I still hope someone here can help me find something suitable.
Here's a short summary of the main topics I'll need to study:
Large deviations
Experimental data analysis(resampling methods, analysis of unknown distributions)
Random walks
Recurring events
Chains
Time-dependent processes(Markov, Poisson, Birth and Death)
Entropy(Shannon, Kolmogorov-Sinai)

Our teacher's approach is quite heavy on the math; basic probability, complex and functional analysis are taken for granted so I'm not looking for an introductory probability book. Even if you don't know a unique book containing these topics, any particular recommendation will be appreciated, especially if it is written specifically for physics students.
 
Physics news on Phys.org
1) - Introduction To Probability Theory by Hoel, Port and Stone.
2) - Grinstead and Snell's Introduction to Probability (freely available at http://www.dartmouth.edu/~chance/teaching_aids/books_articles/probability_book/book.html).
 
Thank you, I'll be checking these out.