Introduction to Differential Equations, 2/e
Richard Miller, Iowa State University
Published March, 1998 by Prentice Hall Engineering/Science/Mathematics
Copyright 1991, 640 pp.
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A thorough examination of the classical topics of differential equations,
contemporary models and applications, and areas of theoretical research.
focuses on the practical theories of differential equations
and examines both traditional and modern examples of applications
to mechanical problems, chemical kinetics, economics, business,
biology, ecology, control theory, electromagnetic theory, elasticity,
acoustics, and quantum mechanics.
emphasizes the modeling process and explains the underlying
offers a complete introduction to sign analysis, error analysis
problems, and the Volterra Lotka predator prey model.
provides an extensive review of complex numbers infinite
series, and the matrix theory.
includes a detailed discussions of delta functions and their
approximation in mechanics laboratories using impulse hammers.
explores in-depth the control theory, applications of Laplace
transforms to integral equations, and the solution of periodically
forced differential equations.
2. First-Order Equations.
3. Second-Order Equations.
4. Linear Equations of Arbitrary Order.
5. Series Solutions of Differential Equations.
6. The Laplace Transform and Its Uses.
7. Systems of Linear Equations.
8. Numerical Methods.
9. Qualitative Analysis.
10. Fourier Series.
11. Separation of Variables.
Answers to Selected Problems.