Nonlinear Differential Equations

Book Details:

• Author: Raimond A. Struble

• Publisher: Dover

• Binding: Paperback

• Number of Pages: 272

• ISBN-13: 9780486817545

• Languages: English

• Dimensions: 9.0 x 5.9 x 0.6 inches

About The Book:
Advanced Mathematical Methods for Scientists and Engineers by Raimond A. Struble, reprinted by Dover, is a concise yet highly referenced monograph that has long been a go-to resource for advanced undergraduate math majors, graduate students, and professionals in the fields of applied mathematics, engineering, and physics. The book is designed with practical application in mind, making it a valuable text for anyone tackling complex mathematical problems.

Struble begins by covering essential mathematical preliminaries and then dives into detailed treatments of crucial topics such as the existence and uniqueness of solutions to the initial-value problem, the properties of solutions, the behavior of linear systems, and the stability of nonlinear systems. Two-dimensional systems are also extensively examined.

Further chapters focus on the perturbation of periodic solutions and offer a general asymptotic method. Throughout the book, numerous exercises, examples, and applications serve to reinforce key concepts and illustrate theorems, linking the theory to practical uses. This text serves as both an advanced learning resource for students and a practical reference for professionals in the field.