This little book is a brilliant introduction to an important boundary field between the theory of probability and differential equations.

--E. B. Dynkin, Mathematical Reviews

This well-written book has been used for many years to learn about stochastic integrals. The book starts with the presentation of Brownian motion, then deals with stochastic integrals and differentials, including the famous Itô lemma. The rest of the book is devoted to various topics of stochastic integral equations, including those on smooth manifolds.

Originally published in 1969, this classic book is ideal for supplementary reading or independent study. It is suitable for graduate students and researchers interested in probability, stochastic processes, and their applications.

Readership

Graduate students and research mathematicians interested in probability, stochastic processes, and their applications.

Table of Contents

• Brownian motion
• Stochastic integrals and differentials
• Stochastic integral equations \((d=1)\)
• Stochastic integral equations \((d\geq2)\)
• References
• Subject index
• Errata