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20140310151458.0 |
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9783642318986 |
|
978-3-642-31898-6 |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA273.A1-274.9 |
|
Classification number |
QA274-274.9 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
519.2 |
Edition number |
23 |
264 #1 - |
-- |
Berlin, Heidelberg : |
-- |
Springer Berlin Heidelberg : |
-- |
Imprint: Springer, |
-- |
2013. |
912 ## - |
-- |
ZDB-2-SMA |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Le Gall, Jean-Francois. |
Relator term |
author. |
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
Title |
Mouvement brownien, martingales et calcul stochastique |
Medium |
[electronic resource] / |
Statement of responsibility, etc |
by Jean-Francois Le Gall. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
VIII, 176 p. 2 ill. |
Other physical details |
online resource. |
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
Title |
Mathématiques et Applications, |
International Standard Serial Number |
1154-483X ; |
Volume number/sequential designation |
71 |
520 ## - SUMMARY, ETC. |
Summary, etc |
Cet ouvrage propose une approche concise mais complète de la théorie de l'intégrale stochastique dans le cadre général des semimartingales continues. Après une introduction au mouvement brownien et à ses principales propriétés, les martingales et les semimartingales continues sont présentées en détail avant la construction de l'intégrale stochastique. Les outils du calcul stochastique, incluant la formule d'Itô, le théorème d'arrêt et de nombreuses applications, sont traités de manière rigoureuse. Le livre contient aussi un chapitre sur les processus de Markov et un autre sur les équations différentielles stochastiques, avec une preuve détaillée des propriétés markoviennes des solutions. De nombreux exercices permettent au lecteur de se familiariser avec les techniques du calcul stochastique. This book offers a rigorous and self-contained approach to the theory of stochastic integration and stochastic calculus within the general framework of continuous semimartingales. The main tools of stochastic calculus, including Itô's formula, the optional stopping theorem and the Girsanov theorem are treated in detail including many important applications. Two chapters are devoted to general Markov processes and to stochastic differential equations, with a complete derivation of Markovian properties of solutions in the Lipschitz case. Numerous exercises help the reader to get acquainted with the techniques of stochastic calculus. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Distribution (Probability theory). |
|
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Probability Theory and Stochastic Processes. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Display text |
Printed edition: |
International Standard Book Number |
9783642318979 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-3-642-31898-6 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
E-Book |