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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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Preface 1. Solutions of ODE's and Their Properties 2. Linear ODEs with Constant Coefficients 3. Power Series Solutions of ODEs and Frobenius Series 4. Poincaré's Perturbation Method 5. Problems of Stability 6. Stability: The Critical Case 7. Bifurcation in ODEs 8. The Lindstedt-Poincaré Method 9. Boundary-Value Problems for Second-Order ODEs 10. Rigid Body with a Fixed Point A. How to Use the Package ODE.m References Index
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Gebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 usef. Codice articolo 5975705
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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- 288 pp. Englisch. Codice articolo 9780817642051
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Birkhäuser Boston, Birkhäuser Boston Aug 2001, 2001
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Buch. Condizione: Neu. Neuware -Many interesting behaviors of real physical, biological, economicaland 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, stabilitybifurcation, 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-ofchapter 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-Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 288 pp. Englisch. Codice articolo 9780817642051
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