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Introduction to stochastic calculus with applications / Fima C Klebaner.

By: Material type: TextTextPublication details: London Imperial College Press, c1998.Description: xi, 321 p. : illustrations ; 23 cmISBN:
  • 186094129X
Subject(s): DDC classification:
  • 23 K63 519.23
Contents:
1. Preliminaries -- 2. Concepts of probability theory -- 3. Basic stochastic processes -- 4. Brownian motion calculus -- 5. Stochastic differential equations -- 6. Diffusion processes -- 7. Martingales -- 8. Calculus for semimartingales -- 9. Pure jump processes -- 10. Change of probability measure -- 11. Applications in finance -- 12. Applications in biology -- 13. Applications in engineering and physics-- References.
Summary: An introduction to stochastic calculus, with some of its applications in mathematical finance, engineering and the sciences. Only a basic knowledge of calculus and probability is required, and exercises are provided at the end of chapters to help test the readers' understanding.
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Includes bibliographical references and index.

1. Preliminaries --
2. Concepts of probability theory --
3. Basic stochastic processes --
4. Brownian motion calculus --
5. Stochastic differential equations --
6. Diffusion processes --
7. Martingales --
8. Calculus for semimartingales --
9. Pure jump processes --
10. Change of probability measure --
11. Applications in finance --
12. Applications in biology --
13. Applications in engineering and physics--

References.

An introduction to stochastic calculus, with some of its applications in mathematical finance, engineering and the sciences. Only a basic knowledge of calculus and probability is required, and exercises are provided at the end of chapters to help test the readers' understanding.

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