Scientific Computing with Mathematica: Mathematical Problems for Ordinary Differential Equations
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
2001
|
| Schriftenreihe: | Modeling and Simulation in Science, Engineering and Technology
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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- |
| Beschreibung: | 1 Online-Ressource (XIV, 270 p) |
| ISBN: | 9781461201519 9781461266358 |
| ISSN: | 2164-3679 |
| DOI: | 10.1007/978-1-4612-0151-9 |
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| 500 | |a 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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| id | DE-604.BV042419456 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:04Z |
| institution | BVB |
| isbn | 9781461201519 9781461266358 |
| issn | 2164-3679 |
| language | English |
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| series2 | Modeling and Simulation in Science, Engineering and Technology |
| spelling | Marasco, Addolorata Verfasser aut Scientific Computing with Mathematica Mathematical Problems for Ordinary Differential Equations by Addolorata Marasco, Antonio Romano Boston, MA Birkhäuser Boston 2001 1 Online-Ressource (XIV, 270 p) txt rdacontent c rdamedia cr rdacarrier Modeling and Simulation in Science, Engineering and Technology 2164-3679 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- Mathematics Computer science Differential Equations Engineering mathematics Mathematical Modeling and Industrial Mathematics Ordinary Differential Equations Computational Science and Engineering Applications of Mathematics Appl.Mathematics/Computational Methods of Engineering Math Applications in Computer Science Informatik Mathematik Romano, Antonio Sonstige oth https://doi.org/10.1007/978-1-4612-0151-9 Verlag Volltext |
| spellingShingle | Marasco, Addolorata Scientific Computing with Mathematica Mathematical Problems for Ordinary Differential Equations Mathematics Computer science Differential Equations Engineering mathematics Mathematical Modeling and Industrial Mathematics Ordinary Differential Equations Computational Science and Engineering Applications of Mathematics Appl.Mathematics/Computational Methods of Engineering Math Applications in Computer Science Informatik Mathematik |
| title | Scientific Computing with Mathematica Mathematical Problems for Ordinary Differential Equations |
| title_auth | Scientific Computing with Mathematica Mathematical Problems for Ordinary Differential Equations |
| title_exact_search | Scientific Computing with Mathematica Mathematical Problems for Ordinary Differential Equations |
| title_full | Scientific Computing with Mathematica Mathematical Problems for Ordinary Differential Equations by Addolorata Marasco, Antonio Romano |
| title_fullStr | Scientific Computing with Mathematica Mathematical Problems for Ordinary Differential Equations by Addolorata Marasco, Antonio Romano |
| title_full_unstemmed | Scientific Computing with Mathematica Mathematical Problems for Ordinary Differential Equations by Addolorata Marasco, Antonio Romano |
| title_short | Scientific Computing with Mathematica |
| title_sort | scientific computing with mathematica mathematical problems for ordinary differential equations |
| title_sub | Mathematical Problems for Ordinary Differential Equations |
| topic | Mathematics Computer science Differential Equations Engineering mathematics Mathematical Modeling and Industrial Mathematics Ordinary Differential Equations Computational Science and Engineering Applications of Mathematics Appl.Mathematics/Computational Methods of Engineering Math Applications in Computer Science Informatik Mathematik |
| topic_facet | Mathematics Computer science Differential Equations Engineering mathematics Mathematical Modeling and Industrial Mathematics Ordinary Differential Equations Computational Science and Engineering Applications of Mathematics Appl.Mathematics/Computational Methods of Engineering Math Applications in Computer Science Informatik Mathematik |
| url | https://doi.org/10.1007/978-1-4612-0151-9 |
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