Author |
: Richard Durrett |
Publisher |
: CRC Press |
Total Pages |
: 353 |
Release |
: 2018-03-29 |
ISBN-10 |
: 9781351413756 |
ISBN-13 |
: 1351413759 |
Rating |
: 4/5 (56 Downloads) |
Book Synopsis Stochastic Calculus by : Richard Durrett
Download or read book Stochastic Calculus written by Richard Durrett and published by CRC Press. This book was released on 2018-03-29 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: This compact yet thorough text zeros in on the parts of the theory that are particularly relevant to applications . It begins with a description of Brownian motion and the associated stochastic calculus, including their relationship to partial differential equations. It solves stochastic differential equations by a variety of methods and studies in detail the one-dimensional case. The book concludes with a treatment of semigroups and generators, applying the theory of Harris chains to diffusions, and presenting a quick course in weak convergence of Markov chains to diffusions. The presentation is unparalleled in its clarity and simplicity. Whether your students are interested in probability, analysis, differential geometry or applications in operations research, physics, finance, or the many other areas to which the subject applies, you'll find that this text brings together the material you need to effectively and efficiently impart the practical background they need.