Differential equations : a modeling perspective
著者
書誌事項
Differential equations : a modeling perspective
Wiley, c1996
Preliminary ed
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注記
Includes index
内容説明・目次
内容説明
Encouraging the student to create and explore graphs of solutions, and to solve open-ended exercises that reinforce the concepts of ordinary differential equations, this text explains how to solve complicated differential equations numerically and how to derive insight from complex systems.
目次
- First order equations - solution and modelling techniques
- initial value problems and their approximate solutions
- second-order differential equations
- applications of second-order differential equations
- the Laplace transform
- introduction to systems
- linear systems of differential equations
- nonlinear systems - stability
- nonlinear systems - cycles, bifurcations and chaos
- Fourier series and separation of variables
- series solutions - Bessel functions, Legendre polynomials
- partial differential equations and orthogonal series
- appendices.
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