Maple O.D.E Lab Book - Brossura

Redfern, Darren

Brossura

ISBN 10: 0387947337 ISBN 13: 9780387947334

Casa editrice: Springer, 1996

Riassunto

This book and disk package is a supplement to any currently existing introductory text on Ordinary Differential Equations and uses Maple V as a computational tool to further understanding and importance. Maple is a powerful symbolic computer software package with which the student can learn to perform many tasks. This platform allows one to do many mundane tasks quickly and efficiently enabling new ways of illustrating and thinking about difficult concepts which will allow for new depths of understanding. Numerical and graphical information and methods are emphasized along with symbolic results throughout this manual in order to take advantage of the versatility of Maple and to increase the breadth of understanding of the student.

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Contenuti

1. Introduction.- How This Lab Book Is Organized.- Using the Diskette.- Where to Go for More Information.- Acknowledgments.- 2. Getting Started with Maple.- Starting Maple.- Basic Maple Syntax.- Basic Maple Objects.- Mixing and Matching Different Number Types.- Strings.- Maple Expressions.- Sets and Lists.- Calling Maple Commands.- Assignments and Equations.- The Use of Quotes in Maple.- Activities for §2.- 3. First-Order ODEs.- Defining and Solving First-Order ODEs.- Explicit vs. Implicit Solutions.- Activities for §3.- 4. Applications of First-Order ODEs.- Falling, Floating, or Accelerating Objects.- Mixture Problems.- Activities for §4.- 5. Graphical Methods.- Direction Fields.- Some Examples.- Activities for §5.- 6. Homogeneous Linear Differential Equations.- Activities for §6.- 7. Non-homogeneous Linear Differential Equations.- Activities for §7.- 8. Applications of Linear Differential Equations.- Free, Undamped Motion.- Free, Damped Motion.- Activities for §8.- 9. More Applications and Systems of Differential Equations.- Forced Motion.- Systems of Linear Differential Equations.- Activities for §9.- 10. Phase Planes.- Activities for §10.- 11. Matrix Operations.- Basic Concepts.- Characteristic Values and Characteristic Vectors.- Activities for §11.- 12. Matrix Methods of Solution.- Activities for §12.- 13. Isoclines.- Activities for §13.- 14. Series Solutions.- Activities for §14.- 15. Numerical Methods.- Problems with Numerical Methods.- Activities for §15.- 16. The Laplace Transform.- Activities for §16.

Product Description

Book by Redfern Darren Chandler Edgar

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 1996
• Lingua: Inglese
• ISBN 10: 0387947337
• ISBN 13: 9780387947334
• Rilegatura: Copertina flessibile
• Numero di pagine: 172
• Contatto del produttore: non disponibile
• Persona responsabile: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Germania