This textbook is intended for one-semester courses in stochastic processes for students familiar with elementaiy probability theory and calculus. The objectives of the book are to introduce students to the standard conr,epts and methods of stochastic modeling, to illustrate the rich diversity of applications of stochastic processes in the applied sciences, and to provide exercises in the application of simple stochastic analysis to realistic problems. This revised edition includes twice the number of exercises as the f irst edition, many of which are applications problems, and several sections have been rewritten for clarity.

1 Introduction 2 Conditional Probability and Conditional Expectation 3 Markov Chains: Introduction 4 The Long Run Behavior of Markov Chains 5 Poisson Processes 6 Continuous Time Markov Chains 7 Renewal Phenomena 8 Branching Processes and Population Growth 9 Queueing Systems Further Readings Solutions to Selected Exercises

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