Elements of Stochastic Calculus and Analysis

Daniel W Stroock author

Format:Paperback

Publisher:Springer Nature Switzerland AG

Published:2nd Feb '19

Should be back in stock very soon

Elements of Stochastic Calculus and Analysis cover

This book gives a somewhat unconventional introduction to  stochastic analysis.  Although most of the material coveredhere has appeared in other places, this book attempts to explain the core ideas on which that material is based.  As a consequence, the presentation is more an extended mathematical essay than a ``definition,lemma, theorem'' text.  In addition, it includes several topics that are not usually treated elsewhere.  For example,Wiener's theory of homogeneous chaos is discussed, Stratovich integration is given a novel development and applied to derive Wong and Zakai's approximation theorem, and examples are given of the application ofMalliavin's calculus to partial differential equations.  Each chapter concludes with several exercises, some of which are quite challenging.  The book is intended for use by advanced graduate students and researchmathematicians who may be familiar with many of the topics but want to broaden their understanding of them.

“The book is suitable for post-doctorates, researchers, or as a text for a 3 rd -year graduate course.” (MAA Reviews, October 10, 2020)
“By writing this book the author has shown once again that he is one of the leading masters of modern probability theory. There are all the expectations to believe that the book will be met positively and will be useful and encouraging for both young mathematicians and professionals working in the areas of probability theory and its applications and analysis.” (Jordan M. Stoyanov, zbMATH 1428.60001, 2020)
“This is a high level book suitable for an advanced graduate level course, but can be useful for research mathematicians as well.” (Tamas Szabados, Mathematical Reviews, July, 2019)

ISBN: 9783030083540

Dimensions: unknown

Weight: unknown

206 pages