Differential equations and boundary value problems : computing and modeling

書誌事項

Differential equations and boundary value problems : computing and modeling

C.H. Edwards, Jr., David E. Penney

Prentice Hall, c1996

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注記

Includes bibliographical references (p.663-665) and index

内容説明・目次

内容説明

Focusing on the mathematical modelling of real-world phenomena, this work presents a broad discussion of nonlinear systems and phenomena, ranging from phase plane analysis to ecological and mechanical systems to a concluding section on chaos and bifurcation in dynamical systems. As well as 2000 graded problems, the book features computer projects that illustrate the use of computer algebra systems, such as Maple, Mathematica, and MATLAB.

目次

  • First order differential equations
  • mathematical models and numerical methods
  • linear equations of higher order
  • introduction to systems of differential equations
  • linear systems of differential equations
  • nonlinear systems and phenomena
  • Laplace transform methods
  • power series solutions of linear equations
  • Fourier series and separation
  • eigenvalues and boundary value problems.

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