Elements of Stochastic Calculus and Analysis
This book gives a somewhat unconventional introduction to stochastic analysis. Although most of the material covered here has appeared in other places, this book attempts to explain the core ideas on which that material is based. As a consequence, the presentation is more an extended mathematical es...
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| Hlavní autor: | |
|---|---|
| Médium: | Elektronický zdroj E-kniha |
| Jazyk: | angličtina |
| Vydáno: |
Cham :
Springer International Publishing,
2018.
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| Vydání: | 1st ed. 2018. |
| Edice: | CRM Short Courses,
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| Témata: | |
| ISBN: | 9783319770383 |
| ISSN: | 2522-5200 |
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| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
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| 007 | cr nn 008mamaa | ||
| 008 | 180424s2018 gw | s |||| 0|eng d | ||
| 020 | |a 9783319770383 | ||
| 024 | 7 | |a 10.1007/978-3-319-77038-3 |2 doi | |
| 035 | |a CVTIDW08800 | ||
| 040 | |a Springer-Nature |b eng |c CVTISR |e AACR2 | ||
| 041 | |a eng | ||
| 100 | 1 | |a Stroock, Daniel W. |4 aut | |
| 245 | 1 | 0 | |a Elements of Stochastic Calculus and Analysis |h [electronic resource] / |c by Daniel W. Stroock. |
| 250 | |a 1st ed. 2018. | ||
| 260 | 1 | |a Cham : |b Springer International Publishing, |c 2018. | |
| 300 | |a XIV, 206 p. |b online resource. | ||
| 490 | 1 | |a CRM Short Courses, |x 2522-5200 | |
| 500 | |a Mathematics and Statistics | ||
| 505 | 0 | |a Preface -- 1. Kolmogorov's Equations -- 2. Itô's Approach -- 3. Brownian Stochastic Integration -- 4. Other Theories of Stochastic Integration -- 5. Addenda -- References -- Index. . | |
| 516 | |a text file PDF | ||
| 520 | |a This book gives a somewhat unconventional introduction to stochastic analysis. Although most of the material covered here has appeared in other places, this book attempts to explain the core ideas on which that material is based. As a consequence, the presentation is more an extended mathematical essay than a ``definition, lemma, theorem' text. In addition, it includes several topics that are not usually treated elsewhere. For example, Wiener's theory of homogeneous chaos is discussed, Stratovich integration is given a novel development and applied to derive Wong and Zakai's approximation theorem, and examples are given of the application of Malliavin's calculus to partial differential equations. Each chapter concludes with several exercises, some of which are quite challenging. The book is intended for use by advanced graduate students and research mathematicians who may be familiar with many of the topics but want to broaden their understanding of them. | ||
| 650 | 0 | |a Probabilities. | |
| 856 | 4 | 0 | |u http://hanproxy.cvtisr.sk/han/cvti-ebook-springer-eisbn-978-3-319-77038-3 |y Vzdialený prístup pre registrovaných používateľov |
| 910 | |b ZE06080 | ||
| 919 | |a 978-3-319-77038-3 | ||
| 974 | |a andrea.lebedova |f Elektronické zdroje | ||
| 992 | |a SUD | ||
| 999 | |c 273872 |d 273872 | ||

