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Stochastic calculusan introduction t...

Baldi, Paolo.

Stochastic calculusan introduction through theory and exercises /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Stochastic calculusby Paolo Baldi.
其他題名:	an introduction through theory and exercises /
作者:	Baldi, Paolo.
出版者:	Cham :Springer International Publishing :2017.
面頁冊數:	xiv, 627 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
標題:	Stochastic analysis.
電子資源:	http://dx.doi.org/10.1007/978-3-319-62226-2
ISBN:	9783319622262$q(electronic bk.)

Stochastic calculusan introduction through theory and exercises /
Baldi, Paolo.

Stochastic calculusan introduction through theory and exercises /[electronic resource] :by Paolo Baldi. - Cham :Springer International Publishing :2017. - xiv, 627 p. :ill. (some col.), digital ;24 cm. - Universitext,0172-5939. - Universitext..

1 Elements of probability -- 2 Stochastic processes -- 3 Brownian motion -- 4 Conditional probability -- 5 Martingales -- 6 Markov Processes -- 7 The stochastic integral -- 8 Stochastic calculus -- 9 Stochastic Differential Equations -- 10 PDE problems and diffusions -- 11 Simulation -- 12 Back to stochastic calculus -- 13 An application: finance -- Solutions of the exercises -- References -- Index.

This book provides a comprehensive introduction to the theory of stochastic calculus and some of its applications. It is the only textbook on the subject to include more than two hundred exercises with complete solutions. After explaining the basic elements of probability, the author introduces more advanced topics such as Brownian motion, martingales and Markov processes. The core of the book covers stochastic calculus, including stochastic differential equations, the relationship to partial differential equations, numerical methods and simulation, as well as applications of stochastic processes to finance. The final chapter provides detailed solutions to all exercises, in some cases presenting various solution techniques together with a discussion of advantages and drawbacks of the methods used. Stochastic Calculus will be particularly useful to advanced undergraduate and graduate students wishing to acquire a solid understanding of the subject through the theory and exercises. Including full mathematical statements and rigorous proofs, this book is completely self-contained and suitable for lecture courses as well as self-study.

ISBN: 9783319622262$q(electronic bk.)

Standard No.: 10.1007/978-3-319-62226-2doiSubjects--Topical Terms:

183332
Stochastic analysis.

LC Class. No.: QA274.2

Dewey Class. No.: 519.22

Stochastic calculusan introduction through theory and exercises /
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520 $a This book provides a comprehensive introduction to the theory of stochastic calculus and some of its applications. It is the only textbook on the subject to include more than two hundred exercises with complete solutions. After explaining the basic elements of probability, the author introduces more advanced topics such as Brownian motion, martingales and Markov processes. The core of the book covers stochastic calculus, including stochastic differential equations, the relationship to partial differential equations, numerical methods and simulation, as well as applications of stochastic processes to finance. The final chapter provides detailed solutions to all exercises, in some cases presenting various solution techniques together with a discussion of advantages and drawbacks of the methods used. Stochastic Calculus will be particularly useful to advanced undergraduate and graduate students wishing to acquire a solid understanding of the subject through the theory and exercises. Including full mathematical statements and rigorous proofs, this book is completely self-contained and suitable for lecture courses as well as self-study.
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