Engineering Differential Equations

• 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.

From the reviews:“This is a well-designed, clearly written book on modern differential equations and related topics primarily intended for use in a two-semester, upper-level undergraduate course for aerospace and mechanical engineers. … His style features many detailed examples and graphs. Chapters typically begin with a summary of and motivation for the content that follows, and end with an extensive exercise set. … Summing Up: Recommended. Upper-division undergraduates through researchers/faculty.” (E. M. Aupperle, Choice, Vol. 48 (10), June, 2011)“This textbook was developed from the materials used in a sequence of undergraduate courses taught by the author … . A distinguishing feature of this text is that it combines traditional engineering undergraduate differential equations with two applied topics … and contains material sufficient for two one-semester courses. … It is generously illustrated, contains many worked out examples and exercises. … A valuable source of information for students and engineers using differential equations for modeling and control.” (Yuri V. Rogovchenko, Zentralblatt MATH, Vol. 1223, 2011)