Brownian motion and stochastic calculus (Record no. 1871)
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000 -LEADER | |
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fixed length control field | 01661nam a2200241Ia 4500 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | OSt |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20241113155430.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 180518s1998 xx 000 0 und d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9780387976556 |
040 ## - CATALOGING SOURCE | |
Original cataloging agency | ICTS-TIFR |
050 ## - LIBRARY OF CONGRESS CALL NUMBER | |
Classification number | QA274.75 |
100 ## - MAIN ENTRY--PERSONAL NAME | |
Personal name | Ioannis Karatzas |
245 ## - TITLE STATEMENT | |
Title | Brownian motion and stochastic calculus |
250 ## - EDITION STATEMENT | |
Edition statement | 2nd ed. |
260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
Name of publisher, distributor, etc. | Springer, |
Date of publication, distribution, etc. | [c1998] |
Place of publication, distribution, etc. | USA: |
300 ## - Physical Description | |
Pages: | 470 p. |
490 ## - SERIES STATEMENT | |
Series statement | Graduate Texts in Mathematics |
Volume/sequential designation | Vol. 113 |
505 ## - FORMATTED CONTENTS NOTE | |
Formatted contents note | 1. Martingales, Stopping Times, and Filtrations<br/>2. Brownian Motion<br/>3. Stochastic Integration<br/>4. Brownian Motion and Partial Differential Equations<br/>5. Stochastic Differential Equations<br/>6. P. Lévy’s Theory of Brownian Local Time |
520 ## - SUMMARY, ETC. | |
Summary, etc. | This book is designed as a text for graduate courses in stochastic processes. It is written for readers familiar with measure-theoretic probability and discrete-time processes who wish to explore stochastic processes in continuous time. The vehicle chosen for this exposition is Brownian motion, which is presented as the canonical example of both a martingale and a Markov process with continuous paths. In this context, the theory of stochastic integration and stochastic calculus is developed. The power of this calculus is illustrated by results concerning representations of martingales and change of measure on Wiener space, and these in turn permit a presentation of recent advances in financial economics (option pricing and consumption/investment optimization). ---summary provided by publisher |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Mathematics |
856 ## - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | <a href="https://link.springer.com/book/10.1007/978-1-4612-0949-2">https://link.springer.com/book/10.1007/978-1-4612-0949-2</a> |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Source of classification or shelving scheme | |
Koha item type | Book |
Withdrawn status | Lost status | Damaged status | Not for loan | Collection code | Home library | Shelving location | Date acquired | Full call number | Accession No. | Koha item type |
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ICTS | Rack No 5 | 05/14/2018 | QA274.75 | 01141 | Book |