Since its first publication in 1965 in the series Grundlehren der
mathematischen Wissenschaften this book has had a profound and enduring
influence on research into the stochastic processes associated with
diffusion phenomena. Generations of mathematicians have appreciated the
clarity of the descriptions given of one- or more- dimensional diffusion
processes and the mathematical insight provided into Brownian motion.
Now, with its republication in the Classics in Mathematics it is hoped
that a new generation will be able to enjoy the classic text of Itô and
McKean*.*