Overview
- A wealth of examples from physics, chemistry, biology and engineering
- Treads a route between probabilists and physical scientists
- Includes many physically relevant results and discussions
- Includes supplementary material: sn.pub/extras
Part of the book series: Applied Mathematical Sciences (AMS, volume 170)
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Table of contents (11 chapters)
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Front Matter
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Back Matter
Keywords
About this book
Stochastic processes and diffusion theory are the mathematical underpinnings of many scientific disciplines, including statistical physics, physical chemistry, molecular biophysics, communications theory and many more. Many books, reviews and research articles have been published on this topic, from the purely mathematical to the most practical.
This book offers an analytical approach to stochastic processes that are most common in the physical and life sciences, as well as in optimal control and in the theory of filltering of signals from noisy measurements. Its aim is to make probability theory in function space readily accessible to scientists trained in the traditional methods of applied mathematics, such as integral, ordinary, and partial differential equations and asymptotic methods, rather than in probability and measure theory.
Reviews
From the reviews:
“It intends to investigate the role of stochastic processes in questions from physics or engineering, to explore the strong relationship between stochastic and partial differential equations and to provide analytical approximations to the solutions. … The book will be very helpful to people working in disciplines like statistical physics, physical chemistry, molecular biophysics, and communications theory. … Endowed with numerous exercises and worked-out examples, it may also provide graduate students with a well-thought-out two-semester course on stochastic processes and their applications.” (Dominique Lépingle, Mathematical Reviews, Issue 2011 d)
“This book is something for which many have been long awaiting. It provides a rather in-depth presentation of the analytical approach to stochastic processes with continuous paths. … The methods developed in the text are very accessible to applied mathematicians with a basic background in probability theory. This is a timely and unique contribution, from one of its leading researchers over four decades, to an exciting area of applied mathematics with ever-growing importance.” (Hong Qian, SIAM Review, Vol. 53 (1), 2011)
Authors and Affiliations
Bibliographic Information
Book Title: Theory and Applications of Stochastic Processes
Book Subtitle: An Analytical Approach
Authors: Zeev Schuss
Series Title: Applied Mathematical Sciences
DOI: https://doi.org/10.1007/978-1-4419-1605-1
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag New York 2010
Hardcover ISBN: 978-1-4419-1604-4Published: 21 December 2009
Softcover ISBN: 978-1-4614-2542-7Published: 29 February 2012
eBook ISBN: 978-1-4419-1605-1Published: 09 December 2009
Series ISSN: 0066-5452
Series E-ISSN: 2196-968X
Edition Number: 1
Number of Pages: XVII, 468
Topics: Probability Theory and Stochastic Processes, Mathematical Modeling and Industrial Mathematics, Complex Systems, Mathematical and Computational Engineering, Statistical Physics and Dynamical Systems