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Item Details
Title: BROWNIAN MOTION
AN INTRODUCTION TO STOCHASTIC PROCESSES
By: Rene L. Schilling, Lothar Partzsch, Bjorn Bottcher
Format: Paperback

List price: £29.99


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ISBN 10: 3110307294
ISBN 13: 9783110307290
Publisher: DE GRUYTER
Pub. date: 26 May, 2014
Edition: 2nd revised and extended edition
Series: De Gruyter Textbook
Pages: 424
Synopsis: Brownian motion is one of the most important stochastic processes in continuous time and with continuous state space. Within the realm of stochastic processes, Brownian motion is at the intersection of Gaussian processes, martingales, Markov processes, diffusions and random fractals, and it has influenced the study of these topics. Its central position within mathematics is matched by numerous applications in science, engineering and mathematical finance. Often textbooks on probability theory cover, if at all, Brownian motion only briefly. On the other hand, there is a considerable gap to more specialized texts on Brownian motion which is not so easy to overcome for the novice. The authors' aim was to write a book which can be used as an introduction to Brownian motion and stochastic calculus, and as a first course in continuous-time and continuous-state Markov processes. They also wanted to have a text which would be both a readily accessible mathematical back-up for contemporary applications (such as mathematical finance) and a foundation to get easy access to advanced monographs. This textbook, tailored to the needs of graduate and advanced undergraduate students, covers Brownian motion, starting from its elementary properties, certain distributional aspects, path properties, and leading to stochastic calculus based on Brownian motion. It also includes numerical recipes for the simulation of Brownian motion.
US Grade: From College Freshman to College Senior
Publication: Germany
Imprint: De Gruyter
Returns: Non-returnable
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