Stochastic Differential Equations: An Introduction with Applications
β Scribed by Bernt Γksendal (auth.)
- Publisher
- Springer Berlin Heidelberg
- Year
- 1985
- Tongue
- English
- Leaves
- 217
- Series
- Universitext
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Front Matter....Pages I-XIII
Introduction....Pages 1-6
Some Mathematical Preliminaries....Pages 7-14
ITO Integrals....Pages 15-31
Stochastic Integrals and the ITO Formula....Pages 32-37
Stochastic Differential Equations....Pages 38-50
The Filtering Problem....Pages 51-78
Diffusions....Pages 79-119
Applications to Partial Differential Equations....Pages 120-142
Application to Optimal Stopping....Pages 143-170
Application to Stochastic Control....Pages 171-188
Back Matter....Pages 189-208
β¦ Subjects
Probability Theory and Stochastic Processes
π SIMILAR VOLUMES
This book gives an introduction to the basic theory of stochastic calculus and its applications. Examples are given throughout the text, in order to motivate and illustrate the theory and show its importance for many applications in e.g. economics, biology and physics. The basic idea of the presenta
<B>From the reviews: </B>"The author, a lucid mind with a fine pedagogical instinct, has written a splendid text. He starts out by stating six problems in the introduction in which stochastic differential equations play an essential role in the solution. Then, while developing stochastic calculus, h
This book gives an introduction to the basic theory of stochastic calculus and its applications. Examples are given throughout the text, in order to motivate and illustrate the theory and show its importance for many applications in e.g. economics, biology and physics. The basic idea of the presenta
From the reviews to the first edition: Most of the literature about stochastic differential equations seems to place so much emphasis on rigor and completeness that it scares the nonexperts away. These notes are an attempt to approach the subject from the nonexpert point of view.: Not knowing anythi
An introduction to the basic theory of stochastic calculus and its applications. Examples are given throughout the text, in order to motivate and illustrate the theory and show its importance for many applications in e.g. economics, biology and physics. The basic idea of the presentation is to start