Reply
Sat 2 Jan, 2010 03:29 pm
I wanted to ask if anyone has any recommendations for probability calculus *companion* books. What I mean by companion books is essentially a read-a-long to be read in conjunction with something else to help further explain it. I don't mind if the recommendation is attached to another specific book, as long as I can get what I need from it.

Long story short, I am working on a small project and I think that probability calculus is a good path to take at this point (and my curiosity is peaked as to whether or not probability calculus can be applied to it). I also do not know much about it outside of college-level mathematical number theory.

Here are the criteria I am looking for;

1) Does not deal largely with relative frequency theory. Although I appreciate number theory and realize how close it is to classical interpretive theory (probability of events, etc.), I need something... well... dumber. LOL! Seriously though, I need something that falls more into line with Propositional, Predicate, etc.

2) Deals with logical interpretive theory; hopefully, building on formal inductive logic, deals with statistical syllogisms, Mill's Method, etc.

3) Can deal with classical interpretive theory.

4) Adhere to Kolmogorov's axioms.

5) Contain sample problems *and solutions (*which I really* really** need).*

Any recommendations would be greatly appreciated (preferably books rather than links...unless the links are verified). I already bought one Schaum outline book that had a few scant pages on it, but because it is a bare-bone introductory book, I need more elaborations (and sample problems).