Overview
- Develops qualitative and quantitative methods to derive and solve mathematical models
- Covers a broad range of unique and interdisciplinary problems and examples
- Includes results from experiments that serve to validate the models
Part of the book series: Mathematical Engineering (MATHENGIN)
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About this book
This book provides qualitative and quantitative methods to analyze and better understand phenomena that change in space and time. An innovative approach is to incorporate ideas and methods from dynamical systems and equivariant bifurcation theory to model, analyze and predict the behavior of mathematical models. In addition, real-life data is incorporated in the derivation of certain models. For instance, the model for a fluxgate magnetometer includes experiments in support of the model.
The book is intended for interdisciplinary scientists in STEM fields, who might be interested in learning the skills to derive a mathematical representation for explaining the evolution of a real system. Overall, the book could be adapted in undergraduate- and postgraduate-level courses, with students from various STEM fields, including: mathematics, physics, engineering and biology.
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Keywords
Table of contents (10 chapters)
Authors and Affiliations
About the author
Antonio Palacios received his Ph.D. in Mathematics at Arizona State University under the guidance of Prof. Dieter Armbruster. He was a postdoctoral fellow in Physics at the University of Houston under the guidance of Prof. Michael Gorman and then in Mathematics under the supervision of Prof. Marty Golubitsky. He joined the Math Department at San Diego State University in 1999 and has been a full professor since 2008. His research interests are in modeling complex nonlinear systems. In particular, multidisciplinary nonlinear systems that interface with Biology, Engineering, and Physics. Over the past twenty years he has been collaborating with the Applied Chaos and Dynamics Group at the Space and Naval Warfare (SPAWAR) Center, San Diego to design and fabricate innovative technologies. Prof. Palacios's publications reflect a dual interest in Applied Mathematics and Engineering, linked through ideas and methods from the theory of Nonlinear Dynamical Systems. He holds thirteen approved U.S. Patents and two more pending.
Bibliographic Information
Book Title: Mathematical Modeling
Book Subtitle: A Dynamical Systems Approach to Analyze Practical Problems in STEM Disciplines
Authors: Antonio Palacios
Series Title: Mathematical Engineering
DOI: https://doi.org/10.1007/978-3-031-04729-9
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022
Hardcover ISBN: 978-3-031-04728-2Published: 20 September 2022
Softcover ISBN: 978-3-031-04731-2Published: 20 September 2023
eBook ISBN: 978-3-031-04729-9Published: 19 September 2022
Series ISSN: 2192-4732
Series E-ISSN: 2192-4740
Edition Number: 1
Number of Pages: XVII, 564
Number of Illustrations: 94 b/w illustrations, 144 illustrations in colour
Topics: Engineering Mathematics