Authors:
- 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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Table of contents (10 chapters)
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Front Matter
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Back Matter
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.
Authors and Affiliations
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Nonlinear Dynamical Systems Group, Department of Mathematics, San Diego State University, San Diego, USA
Antonio Palacios
About the author
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