Differential equations with boundary value problems : a systems approach

著者

    • Conrad, Bruce P.

書誌事項

Differential equations with boundary value problems : a systems approach

Bruce P. Conrad

Prentice Hall, c2003

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

For differential equations courses. Written for beginning students, this well organized introduction promotes a solid understanding of differential equations with a flexible presentation. With less emphasis on formal calculation than other texts, all the basic methods are covered-linear, separable, and exact equations-as well as higher order cases, linear equations with constant and variable coefficients, Laplace transform methods, boundary value problems, and nonlinear systems. The text's systems focus induces an intuitive understanding of the concept of a solution of an initial value problem in order to resolve potential confusion about what is being approximated when a numerical method is used.

目次

I. FIRST ORDER EQUATIONS. 1. Linear Equations. 2. Nonlinear Equations. 3. Systems of Differential Equations. II. LINEAR DIFFERENTIAL EQUATIONS. 4. Systems of Linear Equations. 5. Second Order Equations. 6. The Laplace Transform. 7. Variable Coefficients. III. NONLINEAR DIFFERENTIAL EQUATIONS. 8. Stability Theory. 9. Dynamical Systems and Chaos. IV. BOUNDARY PROBLEMS AND PDEs. 10. Boundary Value Problems. 11. Partial Differential Equations.

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