Brownian motion, martingales, and stochastic calculus (Record no. 60628)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02685nam a22002535i 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 160414s2016 nyu 000 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783319310886 (HB) |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER | |
| Universal Decimal Classification number | 519.216 |
| Item number | LE |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Le Gall, Jean-Francois |
| 245 00 - TITLE STATEMENT | |
| Title | Brownian motion, martingales, and stochastic calculus |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Switzerland |
| Name of publisher | Springer |
| Year of publication | 2016 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | xiii, 273p. |
| 490 ## - SERIES STATEMENT | |
| Series statement | Graduate Texts in Mathematics |
| Volume number/sequential designation | 274 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes References |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Gaussian variables and Gaussian processes<br/>Brownian motion<br/>Filtrations and martingales<br/>Continuous semimartingales<br/>Stochastic integration<br/>General theory of Markov processes<br/>Brownian motion and partial differential equations<br/>Stochastic differential equations<br/>Local times<br/>The monotone class lemma<br/>Discrete martingales<br/>References<br/> |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This book offers a rigorous and self-contained presentation 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 Girsanov's theorem, are treated in detail alongside many illustrative examples. The book also contains an introduction to Markov processes, with applications to solutions of stochastic differential equations and to connections between Brownian motion and partial differential equations. The theory of local times of semimartingales is discussed in the last chapter. Since its invention by Itô, stochastic calculus has proven to be one of the most important techniques of modern probability theory, and has been used in the most recent theoretical advances as well as in applications to other fields such as mathematical finance. Brownian Motion, Martingales, and Stochastic Calculus provides a strong theoretical background to the reader interested in such developments. Beginning graduate or advanced undergraduate students will benefit from this detailed approach to an essential area of probability theory. The emphasis is on concise and efficient presentation, without any concession to mathematical rigor. The material has been taught by the author for several years in graduate courses at two of the most prestigious French universities. The fact that proofs are given with full details makes the book particularly suitable for self-study. The numerous exercises help the reader to get acquainted with the tools of stochastic calculus<br/> |
| 546 ## - LANGUAGE NOTE | |
| Language note | <br/>Translated from the French edition published: Berlin: Springer, 2013 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Stochastic analysis |
| Form subdivision | calculus |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Brownian motion |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Martingales |
| 690 ## - LOCAL SUBJECT ADDED ENTRY--TOPICAL TERM (OCLC, RLIN) | |
| Topical term or geographic name as entry element | Mathematics |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | BOOKS |
| Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Shelving location | Full call number | Accession Number | Koha item type |
|---|---|---|---|---|---|---|---|---|
| IMSc Library | First Floor, Rack No: 35, Shelf No: 37 | 519.216 LE | 78278 | BOOKS |