Scientific Computing with Mathematica®: Mathematical Problems for Ordinary Differential Equations (Modeling and Simulation in Science, Engineering and Technology) - Hardcover
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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-
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- VerlagBirkhäuser
- Erscheinungsdatum2001
- ISBN 10 0817642056
- ISBN 13 9780817642051
- EinbandTapa dura
- Anzahl der Seiten292
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Buchbeschreibung Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Many interesting behaviors of real physical, biological, economical,and chemical systems can be described by ordinary differentialequations (ODEs).Scientific Computing with Mathematica for Ordinary DifferentialEquationsprovides a general framework useful for the applications, on theconceptual aspects of the theory of ODEs, as well as a sophisticateduse of Mathematica software for the solutions of problems related toODEs. In particular, a chapter is devoted to the use ODEs andMathematica in the Dynamics of rigid bodies.Mathematical methods and scientific computation are dealt with jointlyto supply a unified presentation. The main problems of ordinarydifferential equations suchas, phase portrait, approximate solutions, periodic orbits, stability,bifurcation, andboundary problems are covered in an integrated fashion with numerousworked examples and computer program demonstrations usingMathematica.Topics and Features:\*Explains how to use the Mathematica package ODE.mto support qualitative and quantitative problem solving \*End-of-chapter exercise sets incorporating the use of Mathematica programs\*Detailed description and explanation of the mathematical proceduresunderlying the programs written in Mathematica \*Appendix describingthe use of ten not Elektronisches Buch to guide the reader through all theexercises.This book is an essential text/reference for students, graduates andpractitioners in applied mathematics and engineering interested inODE's problems in both the qualitative and quantitative description ofsolutions with the Mathematica program. It is also suitable as a self-. Artikel-Nr. 9780817642051
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