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A Toolbox of Averaging Theorems (eBook)

Ordinary and Partial Differential Equations
Artikelnummer: 978-3-031-34515-9
Einband: PDF
Verfügbarkeit: Download, sofort verfügbar (Link per E-Mail)
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This primer on averaging theorems provides a practical toolbox for applied mathematicians, physicists, and engineers seeking to apply the well-known mathematical theory to real-world problems. With a focus on practical applications, the book introduces new approaches to dissipative and Hamiltonian resonances and approximations on timescales longer than 1/?.

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.

accessibilitysupport@springernature.com
This primer on averaging theorems provides a practical toolbox for applied mathematicians, physicists, and engineers seeking to apply the well-known mathematical theory to real-world problems. With a focus on practical applications, the book introduces new approaches to dissipative and Hamiltonian resonances and approximations on timescales longer than 1/?.

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.

accessibilitysupport@springernature.com
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VerlagSpringer International Publishing
EinbandPDF
Erscheinungsjahr2023
Seitenangabe193 S.
AusgabekennzeichenEnglisch
AbbildungenX, 193 p. 39 illus., 30 illus. in color.
Masse5'423 KB
PlattformPDF
ReiheSurveys and Tutorials in the Applied Mathematical Sciences; Mathematics and Statistics; Mathematics and Statistics
AutorVerhulst, Ferdinand

Alle Bände der Reihe "Surveys and Tutorials in the Applied Mathematical Sciences; Mathematics and Statistics; Mathematics and Statistics (R0)"

Über den Autor Ferdinand Verhulst

Ferdinand Verhulst graduated in theoretical astrophysics in 1966 at the University of Amsterdam, and he got his Ph.D. in mathematics at Utrecht University in 1973. His main interest and research are on approximation theory of solutions of differential equations and applications in physics and engineering. The author wrote a number of books on these topics, partly co-authored; also he edited a number of lecture notes in mathematics and conference proceedings. He is now still active in these fields as Emeritus Professor of nonlinear dynamics at Utrecht University.

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