An Introduction to Stochastic Dynamics (Cambridge Texts in Applied Mathematics, Series Number 51) - Hardcover

Duan, Jinqiao

Hardcover

ISBN 10: 1107075394 ISBN 13: 9781107075399

Publisher: Cambridge University Press, 2015

Synopsis

The mathematical theory of stochastic dynamics has become an important tool in the modeling of uncertainty in many complex biological, physical, and chemical systems and in engineering applications - for example, gene regulation systems, neuronal networks, geophysical flows, climate dynamics, chemical reaction systems, nanocomposites, and communication systems. It is now understood that these systems are often subject to random influences, which can significantly impact their evolution. This book serves as a concise introductory text on stochastic dynamics for applied mathematicians and scientists. Starting from the knowledge base typical for beginning graduate students in applied mathematics, it introduces the basic tools from probability and analysis and then develops for stochastic systems the properties traditionally calculated for deterministic systems. The book's final chapter opens the door to modeling in non-Gaussian situations, typical of many real-world applications. Rich with examples, illustrations, and exercises with solutions, this book is also ideal for self-study.

About this title

Book Description

This book serves as a concise introductory text on stochastic dynamics for applied mathematicians. Rich with examples, illustrations, and exercises with their solutions, this book provides an accessible introduction to concepts and techniques for describing, quantifying, and understanding dynamics under uncertainty, from analytical, deterministic, structural and numerical perspectives.

About the Author

Jinqiao Duan is Professor and Director of the Laboratory for Stochastic Dynamics at Illinois Institute of Technology. During 2011-13, he also served as Professor and Associate Director of the Institute for Pure and Applied Mathematics (IPAM) at the University of California, Los Angeles. An expert in stochastic dynamics, stochastic partial differential equations, and their applications in engineering and science, he has been the managing editor for the journal Stochastics and Dynamics for over a decade. He is also a co-author of a research monograph, Effective Dynamics of Stochastic Partial Differential Equations (2014), based on his teaching at various universities since 1997.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2015
• ISBN 10: 1107075394
• ISBN 13: 9781107075399
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 312