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Stochastic Differential Equations: An Introduction with Applications, 6th Edition

by Bernt Oksendal

Stochastic Differential Equations: An Introduction with Applications, 6th Edition Cover

Synopses & Reviews

Publisher Comments:

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 presentation is to start from some basic results (without proofs) of the easier cases and develop the theory from there, and to concentrate on the proofs of the easier case (which nevertheless are often sufficiently general for many purposes) in order to be able to reach quickly the parts of the theory which is most important for the applications. For the 6th edition the author has added further exercises and, for the first time, solutions to many of the exercises are provided.

Synopsis:

  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 presentation is to start from some basic results (without proofs) of the easier cases and develop the theory from there, and to concentrate on the proofs of the easier case (which nevertheless are often sufficiently general for many purposes) in order to be able to reach quickly the parts of the theory which is most important for the applications. For the 6th edition the author has added further exercises and, for the first time, solutions to many of the exercises are provided.

Table of Contents

Introduction.- Some Mathematical Preliminaries.- Itô Integrals.- Itô Formula and the Martingale Representation Theorem.- Stochastic Differential Equations.- The Filtering Problem.- Diffusions: Basic Properties.- Other Topics in Diffusion Theory.- Applications to Boundary Value Problems.- Applications to Optimal Stopping.- Application to Stochastic Control.- Application to Mathematical Finance.- Appendix A: Normal Random Variables.- Appendix B: Conditional Expectations.- Appendix C: Uniform Integrability and Martingale Convergence.- Appendix D: An Approximation Result.- Solutions and Additional Hints to Some of the Exercises.- References.- List of Frequently Used Notation and Symbols.- Index.

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satyabasak, May 2, 2007 (view all comments by satyabasak)
Its a very good book to built a solid background on Stochastic Differential Equation. Clarity, Objectivity and freindlyness are the important qualities of this book. I would love to read this book.
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Product Details

ISBN:
9783540047582
Subtitle:
An Introduction with Applications
Author:
Oksendal, Bernt
Author:
Ksendal, B. K.
Publisher:
Springer Berlin Heidelberg
Location:
Berlin
Subject:
Differential Equations
Subject:
Stochastic differential equations
Subject:
Probability & Statistics - General
Copyright:
Edition Number:
6
Edition Description:
2003. Corr. 3rd
Series Volume:
no. 472
Publication Date:
May 2006
Binding:
Paperback
Language:
English
Illustrations:
Y
Pages:
360
Dimensions:
9.19x6.29x.88 in. 1.28 lbs.

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