Publisher's Synopsis
This text has three main aims: to provide an introduction to probability without exposing the reader to overmuch measure theory, to discuss a wide range of random processes in some depth with many examples, and to give the beginner some flavour of more advanced work, by suitable choice of material.;The book begins with basic material commonly covered in first-year undergraduate mathematics and statistics courses, and finishes with topics to be found in graduate courses. Features of this new edition include: new and expanded sections in the early chapters providing more illustrative examples and introducing more ideas early on; two new chapters providing more comprehensive treatment of the simpler properties of martingales and diffusion processes; and more exercises at the ends of almost all sections, with many new problems at the ends of chapters.;The companion volume "Probability and Random Processes: Problems and Solutions" includes complete worked solutions to all exercises and problems of this edition. The book should be useful as a text for mathematics and natural science undergraduates at all levels from first to final-year degree work and useful as a reference book for graduates and all those interested in the applications of probability theory.
