Description
Springer Visualdsolve Visualization Differential Equations With Mathematica 1997 Edition by D. Schwalbe S. Wagon
This title presents new ideas on the visualization of differential equations with user-configurable tools. The authors use the widely-used computer algebra system Mathematica to provide an integrated environment for programming visualizing graphics and running commentary for learning and working with differential equations. Table of contents : 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.