Publisher's Synopsis
This successful text has now been comprehensively revised. There are three main aims: to provide a simple but rigorous introduction to probability without exposing the reader to over-much 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. Important 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 the chapters. The companion volumes Probability and Random Processes: Problems and Solutions (Oxford University Press 1992) includes complete worked solutions to all exercises and problems of this edition.;This book is intended for students at all undergraduate and graduate levels in mathematics and statistics.
