Overview
- Illustrates how the theory of distributions can be applied to solve problems in the physical and engineering sciences
- Includes a robust selection of example problems that can arise in real-life industrial and scientific labs
- Will be a valuable resource for researchers and graduate students who would like more exposure to probabilistic methods
Part of the book series: Applied and Numerical Harmonic Analysis (ANHA)
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Table of contents (8 chapters)
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Front Matter
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Random Dynamics
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Front Matter
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Anomalous Fractional Dynamics
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Front Matter
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Back Matter
Keywords
About this book
Chapters cover topics such as probability distributions; generalized stochastic processes, Brownian motion, and the white noise; stochastic differential equations and generalized random fields; Burgers turbulence and passive tracer transport in Burgers flows; and linear, nonlinear, and multiscale anomalous fractional dynamics in continuous media. The needs of the applied-sciences audience are addressed by a careful and rich selection of examples arising in real-life industrial and scientific labs and a thorough discussion of their physical significance. Numerous illustrations generate a better understanding of the core concepts discussed in the text, and a large number of exercises at the end of each chapter expand on these concepts.
Distributions in the Physical and Engineering Sciences is intended to fill a gap in the typical undergraduate engineering/physical sciences curricula, and as such it will be a valuable resource for researchers and graduate students working in these areas. The only prerequisites are a three-four semester calculus sequence (including ordinary differential equations, Fourier series, complex variables, and linear algebra), and some probability theory, but basic definitions and facts are covered as needed. An appendix also provides background material concerning the Dirac-delta and other distributions.
Authors and Affiliations
About the authors
Wojbor A. Woyczynski is Professor of Mathematics and Director of the Center for Stochastic and Chaotic Processes in Science and Technology at Case Western University.
Bibliographic Information
Book Title: Distributions in the Physical and Engineering Sciences, Volume 3
Book Subtitle: Random and Anomalous Fractional Dynamics in Continuous Media
Authors: Alexander I. Saichev, Wojbor A. woyczyński
Series Title: Applied and Numerical Harmonic Analysis
DOI: https://doi.org/10.1007/978-3-319-92586-8
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2018
Hardcover ISBN: 978-3-319-92584-4Published: 13 August 2018
Softcover ISBN: 978-3-030-06467-9Published: 01 February 2019
eBook ISBN: 978-3-319-92586-8Published: 03 August 2018
Series ISSN: 2296-5009
Series E-ISSN: 2296-5017
Edition Number: 1
Number of Pages: XX, 403
Number of Illustrations: 55 b/w illustrations, 6 illustrations in colour
Topics: Probability Theory and Stochastic Processes, Engineering Mathematics, Functional Analysis, Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences