Preface.- Prerequisites.- Course Structure.- Introduction and Preliminaries.- Ordinary First Order Equations.- Ordinary Second Order Linear Constant Coefficient Equations.- Single Degree fo Freedom Vibrations.- Ordinary Second Order Linear Variable Coefficient Equations.- Systems of Ordinary First Order Linear Constant Coefficient Equations.- Applications of Systems of First Order Equations.- The Laplace Transform.- Basic Control Theory: Analysis.- Basic Filter Theory.- Basic Control Theory: Design.- Partial Differential Equations.- Numerical Methods.- Introduction to Nonlinear Systems.- Perturbation Methods.- Lagrange's Equations.- System Identification.- Symmetry and Transformation Methods.- 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)