Martingales and Stochastic Integrals by P. E. Kopp
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Martingales and Stochastic Integrals
By P. E. Kopp

Martingales and Stochastic Integrals

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Format: Paperback

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Martingales and Stochastic Integrals by P. E. Kopp

Book Description

This book provides an introduction to the rapidly expanding theory of stochastic integration and martingales. The treatment is close to that developed by the French school of probabilists, but is more elementary than other texts. The presentation is abstract, but largely self-contained and Dr Kopp makes fewer demands on the reader's background in probability theory than is usual. He gives a fairly full discussion of the measure theory and functional analysis needed for martingale theory, and describes the role of Brownian motion and the Poisson process as paradigm examples in the construction of abstract stochastic integrals. An appendix provides the reader with a glimpse of very recent developments in non-commutative integration theory which are of considerable importance in quantum mechanics. Thus equipped, the reader will have the necessary background to understand research in stochastic analysis. As a textbook, this account will be ideally suited to beginning graduate students in probability theory, and indeed it has evolved from such courses given at Hull University. It should also be of interest to pure mathematicians looking for a careful, yet concise introduction to martingale theory, and to physicists, engineers and economists who are finding that applications to their disciplines are becoming increasingly important.

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Book Details

ISBN: 9780521090339
ISBN-10: 0521090334
Format: Paperback
(228mm x 152mm x 13mm)
Pages: 216
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 20-Nov-2008
Country of Publication: United Kingdom

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