Engineering differential equations: Theory and applications

✍ Scribed by Bill Goodwine (auth.)

• Publisher: Springer-Verlag New York
• Year: 2011
• Tongue: English
• Leaves: 766
• Edition: 1
• Category: Library

✦ Synopsis

This book is a comprehensive treatment of engineering undergraduate differential equations as well as linear vibrations and feedback control. While this material has traditionally been separated into different courses in undergraduate engineering curricula. This text provides a streamlined and efficient treatment of material normally covered in three courses. Ultimately, engineering students study mathematics in order to be able to solve problems within the engineering realm. Engineering Differential Equations: Theory and Applications guides students to approach the mathematical theory with much greater interest and enthusiasm by teaching the theory together with applications. Additionally, it includes an abundance of detailed examples. Appendices include numerous C and FORTRAN example programs. This book is intended for engineering undergraduate students, particularly aerospace and mechanical engineers and students in other disciplines concerned with mechanical systems analysis and control. Prerequisites include basic and advanced calculus with an introduction to linear algebra.

✦ Table of Contents

Front Matter....Pages i-xix
Introduction and Preliminaries....Pages 1-56
First-Order Ordinary Differential Equations....Pages 57-90
Second-Order Linear Constant-Coefficient Ordinary Differential Equations....Pages 91-121
Single Degree of Freedom Vibrations....Pages 123-160
Variable-Coefficient Linear Ordinary Differential Equations....Pages 161-192
Systems of First-Order Linear Constant-Coefficient Ordinary Differential Equations....Pages 193-248
Applications of Systems of First-Order Equations....Pages 249-277
The Laplace Transform....Pages 279-328
Classical Control Theory: Analysis....Pages 329-448
Classical Control Theory: Design....Pages 449-484
Partial Differential Equations....Pages 485-576
Numerical Methods....Pages 577-630
Introduction to Nonlinear Systems....Pages 631-681
Back Matter....Pages 683-745

✦ Subjects

Ordinary Differential Equations; Appl.Mathematics/Computational Methods of Engineering; Applications of Mathematics; Systems Theory, Control