probability mathematics applications introduction

books:

A Modern Introduction to Probability and Statistics: Understanding Why and How (Springer Texts in Statistics)

3 reviews
F.M. Dekking, C. Kraaikamp, ...

Springer, 2007

Great for learning if you're prepared
This book reads easily because it gives many concrete examples and uses a tutorial approach to teaching. However, you still need to know some math! You don't need a math degree. A good first course in calculus covering derivatives and integrals, including logs and exponentials, and some introductory combinatorics (basic knowledge of sets, permutations and combinations) is enough. Any sophomore ...

Metrical Theory of Continued Fractions (Mathematics and Its Applications)
M. Iosifescu, C. Kraaikamp

Springer, 2002

This is the first complete treatment of the metrical theory of regular continued fractions and related representations of real numbers. The authors have attempted to give the best possible results now known, with proofs that are the simplest and most direct. The book is essentially based on recent work of the authors. In order to unify and generalize the results obtained so far, new concepts have been introduced, e.g., an infinite order ...