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Engineering Differential Equations

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.
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Table of Contents

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)

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