Stochastic calculus : a practical introduction / Richard Durrett.

Format:

Book

Author/Creator:

Durrett, Richard, 1951-

Contributor:

Durrett, Richard, 1951-

Louis A. Duhring Fund.

Series:

Probability and stochastics series

Language:

English

Subjects (All):

Stochastic analysis.

Physical Description:

vi, 341 pages ; 24 cm.

Place of Publication:

Boca Raton : CRC Press, [1996]

Summary:

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.

Notes:

Rev. ed. of: Brownian motion and martingales in analysis. c1984.

Includes bibliographical references (pages [335]-338) and index.

Local Notes:

Acquired for the Penn Libraries with assistance from the Louis A. Duhring Fund.

Related Work:

Durrett, Richard, 1951- Brownian motion and martingales in analysis.

ISBN:

0849380715

9780849380716

OCLC:

34894437

Online:

Publisher description