This is a brief introduction to stochastic processes studying
certain elementary continuous-time processes. After a description
of the Poisson process and related processes with independent
increments as well as a brief look at Markov processes with a
finite number of jumps, the author proceeds to introduce Brownian
motion and to develop stochastic integrals and Ito's theory in the
context of one-dimensional diffusion processes. The book ends with
a brief survey of the general theory of Markov processes. The book
is based on courses given by the author at the Courant Institute
and can be used as a sequel to the author's successful book
Probability Theory in this series. Information for our
distributors: Titles in this series are co-published with the
Courant Institute of Mathematical Sciences at New York University.
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