VisualDSolve : visualizing differential equations with Mathematica

書誌事項

VisualDSolve : visualizing differential equations with Mathematica

by Dan Schwalbe and Stan Wagon

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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