VisualDSolve

Visualizing Differential Equations with Mathematica®

Dan Schwalbe, Stan Wagon (Autoren)

Buch | Softcover

271 Seiten

2011
Springer-Verlag New York Inc.
978-1-4612-7473-5 (ISBN)

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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.

Contents: Seeing and Controlling the Initial Values.- Style and Accuracy Control.- Labeling 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.

Zusatzinfo	16 Illustrations, color; XIV, 271 p. 16 illus. in color.
Verlagsort	New York, NY
Sprache	englisch
Maße	170 x 244 mm
Themenwelt	Informatik ► Software Entwicklung ► User Interfaces (HCI)
	Informatik ► Theorie / Studium ► Algorithmen
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Computerprogramme / Computeralgebra
	Mathematik / Informatik ► Mathematik ► Graphentheorie
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
ISBN-10	1-4612-7473-7 / 1461274737
ISBN-13	978-1-4612-7473-5 / 9781461274735
Zustand	Neuware