Overview
- Includes numerous hands-on applications of the stated theorems in each chapter
- The van der Pol, Duffing and Mathieu equations are discussed in detail
- Provides scientists and engineers with a concise survey of averaging theorems for ODE's and PDE's
Part of the book series: Surveys and Tutorials in the Applied Mathematical Sciences (STAMS, volume 12)
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About this book
Accessible and clearly written, the book includes numerous examples ranging from elementary to complex, making it an excellent basic reference for anyone interested in the subject. The prerequisites have been kept to a minimum, requiring only a working knowledge of calculus and ordinary and partial differential equations (ODEs and PDEs).
In addition to serving as a valuable reference for practitioners, the book could also be used as a reading guide for a mathematics seminar on averaging methods. Whether you're an engineer, scientist, or mathematician, this book offers a wealth of practicaltools and theoretical insights to help you tackle a range of mathematical problems.
Keywords
Table of contents (10 chapters)
Reviews
“The book is intended to present a concise survey of averaging theorems as a toolbox for applied mathematicians, physicists and engineers, with emphasis on the practical use. ... this is an enjoyable and very clear textbook for scientists, engineers, students and practitioners, which reflects the author’s vast expertise on the subject.” (Pablo Amster, zbMATH 1528.34001, 2024)
Authors and Affiliations
About the author
Bibliographic Information
Book Title: A Toolbox of Averaging Theorems
Book Subtitle: Ordinary and Partial Differential Equations
Authors: Ferdinand Verhulst
Series Title: Surveys and Tutorials in the Applied Mathematical Sciences
DOI: https://doi.org/10.1007/978-3-031-34515-9
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 2023
Softcover ISBN: 978-3-031-34514-2Published: 23 July 2023
eBook ISBN: 978-3-031-34515-9Published: 22 July 2023
Series ISSN: 2199-4765
Series E-ISSN: 2199-4773
Edition Number: 1
Number of Pages: X, 193
Number of Illustrations: 9 b/w illustrations, 30 illustrations in colour
Topics: Analysis, Engineering Mathematics