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Stochastic Differential Equations - An Introduction with Applications (Broché)

6th edition

Edition en anglais

  • Springer

  • Paru le : 01/01/2003
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... > Lire la suite
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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. This corrected 6th printing of the 6th edition contains additional corrections and useful improvements, based in part on helpful comments from the readers.
    • Some matematical preliminaries
    • Itô Integrals
    • The 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
    • Application to Stochastic Control
    • Application to Mathematical Finance
  • Date de parution : 01/01/2003
  • Editeur : Springer
  • Collection : universitext
  • ISBN : 3-540-04758-1
  • EAN : 9783540047582
  • Présentation : Broché
  • Nb. de pages : 360 pages
  • Poids : 0.57 Kg
  • Dimensions : 15,6 cm × 23,5 cm × 2,4 cm

À propos de l'auteur

Biographie de Bernt Oksendal

Bernt Oksendal was born in Fredrikstad, Norway in 1945. He studied at the University of Oslo, and obtained his Ph.D from UCLA. He has been a professor at the University of Oslo since 1991, and at the same time an adjunct professor at the N'orwegian School of Economics and Business Administration, Bergen, Norway, since 1992. He has been a member of the Norwegian Academy of Science and Letters since 1996.
His main field of interest is stochastic analysis, including stochastic control, optimal stopping, stochastic ordinary and partial differential equations and applications, particularly to physics, biology and finance. Oksendal's 120 publications include 9 books. His non-mathematical interests and pleasures include jogging, music, nature and wildlife.
Bernt Oksendal - Stochastic Differential Equations - An Introduction with Applications.
Stochastic Differential Equations. An Introduction with Applications 6th...
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