DigitalTQFoundations of Applied Mathematics Author: Michael D. Greenberg Publisher: Prentice Hall (first published 1978; Dover edition 2013) Intended audience: Advanced undergraduates and beginning graduate students in engineering, physics, and applied mathematics.
As a desk reference for looking up specific transform properties or boundary value problem techniques.
Most modern ODE texts rush Laplace transforms. Greenberg spends 80 pages on them. Pay attention to the section on "Periodic and piecewise-continuous forcing functions" —this is how you model real electrical circuits.
In conclusion, "Foundations of Applied Mathematics" by Michael D. Greenberg is a comprehensive and well-structured textbook that provides a solid introduction to the principles and methods of applied mathematics. The book's emphasis on mathematical modeling, differential equations, and linear algebra makes it an excellent resource for students and researchers in this field. Whether you are an undergraduate student, a graduate student, or a researcher, this book is an essential resource that you should have in your library.