Introduction to Stochastic Calculus (Indian Statistical Institute Series)
This book sheds new light on stochastic calculus, the branch of mathematics that is most widely applied in financial engineering and mathematical finance. The first book to introduce pathwise formulae for the stochastic integral, it provides a simple but rigorous treatment of the subject, including a range of advanced topics. The book discusses in-depth topics such as quadratic variation, Ito formula, and Emery topology. The authors briefly addresses continuous semi-martingales to obtain growth estimates and study solution of a stochastic differential equation (SDE) by using the technique of random time change. Later, by using Metivier–Pellaumail inequality, the solutions to SDEs driven by general semi-martingales are discussed. The connection of the theory with mathematical finance is briefly discussed and the book has extensive treatment on the representation of martingales as stochastic integrals and a second fundamental theorem of asset pricing. Intended for undergraduate- and beginning graduate-level students in the engineering and mathematics disciplines, the book is also an excellent reference resource for applied mathematicians and statisticians looking for a review of the topic.
yazar | Rajeeva L. Karandikar |
---|---|
Boyutlar ve boyutlar | 15,6 x 2,5 x 23,4 cm |
Tarafından yayınlandı | 15 Haziran 2018 |
18,9 x 0,6 x 24,6 cm 15 x 0,5 x 22 cm Kolektif ROBERT H BORK Mdpi AG 3 Ocak 2017 18,9 x 0,3 x 24,6 cm 28 Şubat 2018 30 Ekim 2011 18,9 x 0,2 x 24,6 cm 18,9 x 0,4 x 24,6 cm ERWIN N GRISWOLD Additional Contributors 1 Ocak 2017 18,9 x 0,5 x 24,6 cm 29 Ekim 2011 28 Ekim 2011 WADE H MCCREE
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Sürüm ayrıntıları
yazar | Rajeeva L. Karandikar B. V. Rao |
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isbn 10 | 9811083177 |
isbn 13 | 978-9811083174 |
Yayımcı | Springer; 1st ed. 2018. baskı |
Dilim | İngilizce |
Boyutlar ve boyutlar | 15,6 x 2,5 x 23,4 cm |
Tarafından yayınlandı Introduction to Stochastic Calculus (Indian Statistical Institute Series) | 15 Haziran 2018 |
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