Partial Differential Equations in Engineering Problems

Book Details:

• Author: Kenneth S. Miller

• Publisher: Dover

• Edition: Reprint

• Binding: Paperback

• Release Date: 18-03-2020

• ISBN: 0800759843299

• Language: English

• Pages: 254

• Cover: Paperback

• Dimensions: 7.4 x 5.5 x 1.7 inches

About The Book:

Partial Differential Equations for Engineers by Kenneth S. Miller is a concise and practical guide aimed at helping engineering students solve real-world problems involving partial differential equations (PDEs). This text requires only a basic understanding of ordinary differential equations, making it accessible for undergraduate engineering students.

The book focuses primarily on the practical solutions of PDEs, without delving into theoretical aspects like existence, uniqueness, or convergence. The first chapter derives commonly encountered partial differential equations related to phenomena such as vibration, heat flow, electricity, and elasticity. Following chapters apply Fourier analysis techniques to solve these equations, and extend the discussion to the Fourier integral.

The final chapters cover special functions such as Legendre, Bessel, and Mathieu functions, as well as the general structure of differential operators. This book is an essential resource for students seeking to understand and solve PDEs within the context of engineering applications.