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.
Preface.- Introduction and Preliminaries.- First-Order Ordinary Differential Equations.- Second-Order Linear Constant-Coefficient Ordinary Differential Equations.- Single Degree of Freedom Vibrations.- Variable-Coefficient Linear Ordinary Differential Equations.- Systems of First-Order Linear Constant-Coefficient Ordinary Differential Equations.- Applications of Systems of First-Order Equations.- The Laplace Transform.- Classical Control Theory: Analysis.- Classical Control Theory: Design.- Partial Differential Equations.- Numerical Methods.- Introduction to Nonlinear Systems.- A: Some Complex Variable Theory.- B: Linear Algebra Review.- C: Detailed Computation.- D: Example Programs.- References.- Index.
