Elementary Probability Theory: With Stochastic Processes and an Introduction to Mathematical Finance

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This book provides an introduction to probability theory and its applications. The emphasis is on essential probabilistic reasoning, which is illustrated with a large number of samples. The fourth edition adds material related to mathematical finance as well as expansions on stable laws and martingales.

From the reviews: Almost thirty years after its first edition, this charming book continues to be an excellent text for teaching and for self study. – STATISTICAL PAPERS