An Introduction to Probability and Stochastic Processes

the long version

This is a textbook which will provide students with a straightforward introduction to the mathematical theory of probability. It is written with the aim of presenting the central results and techniques of the subject in a complete and self-contained account. The emphasis is on giving results in simple forms with clear proofs and to eschew more powerful forms of theorems which require technically involved proofs. Any student who has a familiarity with calculus and basic algebra will be able to use this text and throughout there are a wide variety of exercises to illustrate and to develop ideas. A highlight of the book is an account of random iterated function systems which is a fascinating area of current research.