VisualDSolve : visualizing differential equations with Mathematica
著者
書誌事項
VisualDSolve : visualizing differential equations with Mathematica
TELOS, 1996
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注記
"Includes diskette."
Includes bibliographical references and index
内容説明・目次
内容説明
Examines the visualization of differential equations with user-configurable tools. This text uses the computer algebra system, Mathematica, to provide an integrated environment for programming, visualizing graphics, and running commentary for learning and working with differential equations.
目次
- Seeing and controlling the initial values
- style and accuracy control
- labelling plots
- exact solutions
- direction fields
- isoclines
- inflection curves
- controlling the numerical method
- checking solutions
- normal form
- system solution plots
- phase plots, controlling the style of the orbits
- fields of fish
- controlling to t-domain
- varying a parameter
- nullcline plots
- the real orbit graph in 3-dimensions, systems of three of more equations
- Poincare sections
- a single second-order equations
- second-order systems
- troubleshooting.
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