A Toolbox of Averaging Theorems: Ordinary and Partial Differential Equations (Surveys and Tutorials in the Applied Mathematical Sciences)

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/ε.

Ferdinand Verhulst was born in Amsterdam and studied astrophysicist with a specialisation in numerical analysis. He spent five years at the Technical University of Delft, which stimulated his interest in theoretical engineering. Verhulst obtained his PhD from the University of Utrecht and became a Professor of Dynamical Systems there in 1990. He has been a visiting professor in prestigious universities worldwide and has completed five trips to Indonesia to teach mathematics, leading to three successful PhDs. Verhulst has authored numerous research papers and books, including five in English and two in Dutch, as well as edited two Springer Lecture Notes publications. Additionally, he founded Epsilon Uitgaven, a publishing house aimed at supporting teachers and students with Dutch language mathematics books, eventually contributing himself to a couple of their books, one on mathematical proofs and the other on chaos, both aimed at secondary school students.