Scientific Computing with Mathematica®: Mathematical Problems for Ordinary Differential Equations (Modeling and Simulation in Science, Engineering and Technology) - Softcover

Marasco, Addolorata; Romano, Antonio

Softcover

ISBN 10: 1461266351 ISBN 13: 9781461266358

Verlag: Birkhäuser, 2013

Inhaltsangabe

Provides a general framework useful for the application of the theory of ODEs, as well as a sophisticated use of Mathematica software for the solution of problems related to ODEs. Through extensive worked examples and computer program demonstrations using Mathematica, the authors cover phase portrait, approximate solutions, periodic orbits, stability, bifurcation, and boundary problems. For graduate students, researchers, and practitioners in applied mathematics and engineering seeking an understanding of using ODEs in modeling physical, biological, and economic phenomena.

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Reseña del editor

Many interesting behaviors of real physical, biological, economical, and chemical systems can be described by ordinary differential equations (ODEs). Scientific Computing with Mathematica for Ordinary Differential Equations provides a general framework useful for the applications, on the conceptual aspects of the theory of ODEs, as well as a sophisticated use of Mathematica software for the solutions of problems related to ODEs. In particular, a chapter is devoted to the use ODEs and Mathematica in the Dynamics of rigid bodies. Mathematical methods and scientific computation are dealt with jointly to supply a unified presentation. The main problems of ordinary differential equations such as, phase portrait, approximate solutions, periodic orbits, stability, bifurcation, and boundary problems are covered in an integrated fashion with numerous worked examples and computer program demonstrations using Mathematica. Topics and Features:*Explains how to use the Mathematica package ODE.m to support qualitative and quantitative problem solving *End-of- chapter exercise sets incorporating the use of Mathematica programs *Detailed description and explanation of the mathematical procedures underlying the programs written in Mathematica *Appendix describing the use of ten notebooks to guide the reader through all the exercises. This book is an essential text/reference for students, graduates and practitioners in applied mathematics and engineering interested in ODE's problems in both the qualitative and quantitative description of solutions with the Mathematica program. It is also suitable as a self-

Details zur Ausgabe

• Verlag: Birkhäuser
• Erscheinungsdatum: 2013
• Sprache: Englisch
• ISBN 10: 1461266351
• ISBN 13: 9781461266358
• Einband: Tapa blanda
• Anzahl der Seiten: 290
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar