Scientific Computing with Mathematica® Mathematical Problems for Ordinary Differential Equations |
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| Author:
| Marasco, Addolorata
Romano, Antonio |
| Series title: | Modeling and Simulation in Science, Engineering and Technology Ser. |
| ISBN: | 978-1-4612-6635-8 |
| Publication Date: | Apr 2013 |
| Publisher: | Birkhäuser Boston
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| Imprint: | Birkhäuser |
| Book Format: | Paperback |
| List Price: | USD $109.99 |
Book Description:
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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...
More DescriptionMany 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 notebooks 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-