Theory of Stochastic Differential Equations with Jumps and Applications : Mathematical and Analytical Techniques with Applications to Engineering
Language: English
Published by Springer Us Apr 2005, 2005
- Hardcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
£ 302.05
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Add to basketItem description from seller
Neuware - Stochastic differential equations (SDEs) are a powerful tool in science, mathematics, economics and finance. This book will help the reader to master the basic theory and learn some applications of SDEs. In particular, the reader will be provided with the backward SDE technique for use in research when considering financial problems in the market, and with the reflecting SDE technique to enable study of optimal stochastic population control problems. These two techniques are powerful and efficient,and can also be applied to research in many other problems in nature, science and elsewhere.
Seller Inventory # 9780387250830
- Title
- Theory of Stochastic Differential Equations with Jumps and Applications : Mathematical and Analytical Techniques with Applications to Engineering
- Author
- Rong Situ
- Publisher
- Springer Us Apr 2005
- Publication year
- 2005
- Condition
- Neu
- Binding
- Buch
- Language
- English
- ISBN 10
- 0387250832
- ISBN 13
- 9780387250830
- Item weight
- 883 grams
- Dimensions
- 246x169x30 mm
"Synopsis" may belong to another edition of this title.
From the Back Cover
This book is written for people who are interested in stochastic differential equations (SDEs) and their applications. It shows how to introduce and define the Ito integrals, to establish Ito’s differential rule (the so-called Ito formula), to solve the SDEs, and to establish Girsanov’s theorem and obtain weak solutions of SDEs. It also shows how to solve the filtering problem, to establish the martingale representation theorem, to solve the option pricing problem in a financial market, and to obtain the famous Black-Scholes formula, along with other results.
In particular, the book will provide the reader with the backward SDE technique for use in research when considering financial problems in the market, and with the reflecting SDE technique to enable study of optimal stochastic population control problems. These two techniques are powerful and efficient, and can also be applied to research in many other problems in nature, and science.
Theory of Stochastic Differential Equations with Jumps and Applications will be a valuable reference for grad students and professionals in physics, chemistry, biology, engineering, finance and mathematics who are interested in problems such as the following:
mathematical description and analysis of stocks and shares;
option pricing, optimal consumption, arbitrage-free markets;
control theory and stochastic control theory and their applications;
non-linear filtering problems with jumps;
population control.
"About the title" may belong to another edition of this title.
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