Differential and Difference Equations through Computer Experiments: With Diskettes Containing Phaser: An Animator/Simulator for Dynamical Systems for IBM Personal Computers - Brossura

Koçak, Hüseyin

 
9780387969183: Differential and Difference Equations through Computer Experiments: With Diskettes Containing Phaser: An Animator/Simulator for Dynamical Systems for IBM Personal Computers
Brossura
ISBN 10: 0387969187 ISBN 13: 9780387969183
Casa editrice: Springer New York, 1989

Sinossi

Phaser is a sophisticated program for IBM personal com-puters, developed atBrown University by the author and someof his students, which enables usersto experiment withdifferential and difference equations and dynamical systemsin an interactive environment using graphics.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Contenuti

I: Mathematical Synopsis.- 1. What is a Differential Equation?.- 1.1. Systems of Differential Equations.- 1.2. Geometrical Interpretation.- 1.3. Higher Order Equations.- 1.4. Non-autonomous Equations.- 2. Numerical Methods.- 2.1. Overview of Numerics.- 2.2. A Comparison of Algorithms.- 2.3. Practical Guidelines.- 3. What is a Difference Equation?.- 3.1. One-dimensional Difference Equations.- 3.2. Application: Calculating $$\sqrt{2}$$.- 3.3. Systems of Difference Equations.- 3.4. Planar Poincare Maps.- II: Handbook of PHASER.- 4. Learning to Use PHASER.- 4.1. The Startup Screen Layout.- 4.2. Interacting with PHASER.- 5. Lessons with PHASER.- Lesson 1. In and out of PHASER.- Lesson 2. Changing menus.- Lesson 3. Direction field.- Lesson 4. Changing views.- Lesson 5. Graphing variables.- Lesson 6. Initial conditions and parameters.- Lesson 7. Making transcripts for demonstrations.- Lesson 8. Browsing through the library.- Lesson 9. Entering your equations.- Lesson 10. Euler vs. Runge-Kutta.- Lesson 11. Stair step diagrams.- Lesson 12. Three-dimensional graphics.- Lesson 13. Advanced graphics: A 4D example.- Lesson 14. Planar sections and Poincare maps.- Lesson 15. Grand finale: Demo.- 6. Reference Guide to Menus.- 6.1. The NUMERICS Menu.- 6.2. The UTILITIES Menu.- 6.3. The VISUALAID Menu.- 6.4. The Graphical VIEWS.- III: Library of Equations.- 7. Differential Equations.- 7.1. One-dimensional Equations cubicld.- 7.2. Two-dimensional Equations linear2d, pendulum, vanderpol, predprey, saddlenod, pitchfork, transcrit, hopf, dzerol, dzero2, dzero3, hilbert2, hilbert4, averfvdp, gradient.- 7.3. Three-dimensional Equations lorenz, linear3d, vibration, bessel, euler, laguerre, legendre, forcevdp, forcepen, mathieu, forceduf, rossler, zeroim, silnikov, silnikov2.- 7.4. Four-dimensional Equations harmoscil, kepler, r3body, henheile, coplvdpl, coplvdp2, couplosc, reson21.- 8. Difference Equations.- 8.1. One-dimensional Equations logistic, dislinld, discubic, newton, tent, singer, mod, arnold.- 8.2. Two-dimensional Equations dislin2d, gauss, quadl, quad2, henon, lozi, dellogis, dispprey, bounball, anosov, Cremona, icremona, gingerman.- 8.3. Three-dimensional Equations dislin3d, act.- What remains to be done?.- Appendix A: PHASER Quick Reference.- Appendix B: Library of Equations.- References.

Product Description

Book by Kocak Hseyin

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Springer New York
Data di pubblicazione
1989
Lingua
Inglese
ISBN 10 
0387969187
ISBN 13 
9780387969183
Rilegatura
Copertina flessibile
Numero edizione
2
Numero di pagine
244
Contatto del produttore
non disponibile
Persona responsabile
Springer Nature Customer Service Center GmbH
ProductSafety@springernature.com

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Altre edizioni note dello stesso titolo

9783540962397: Differential and Difference Equations through Computer Experiments: With Diskettes Containing Phaser: an Animator/Simulator for Dynamical Systems for IBM Personal Computers

Edizione in evidenza

ISBN 10:  3540962395 ISBN 13:  9783540962397
Casa editrice: Springer-Verlag Berlin and Heide..., 1986
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