Introduction to Perturbation Methods Mark H. Holmes is an English-language textbook on applied mathematics, aimed at graduate students in mathematics, engineering, and physics. This title thoroughly covers the use of perturbation methods in differential equations and related applications.
The book provides a clear introduction to phenomena such as boundary layers and multiple scales, supplemented with current topics such as homogenization, slender body theory, symbolic computations, and discrete equations. In addition, there are many exercises based on recent research and various application areas.
The edition has added one hundred new pages with additional material on transcendentally small terms, Kummer’s function, weakly coupled oscillators, and wave interactions. This makes it a valuable resource for students and professionals who want to delve into both classical and modern perturbation techniques.
Topics connect to differentiable calculus, differential equations, and mathematical analysis. It belongs to the Texts in Applied Mathematics series, making it suitable as a reference work and textbook within these disciplines.