Differential and Difference Equations through Computer Experiments (häftad)
Fler böcker inom
Format
Häftad (Paperback / softback)
Språk
Engelska
Antal sidor
224
Utgivningsdatum
1988-12-01
Upplaga
2nd ed. 1989
Förlag
Springer-Verlag New York Inc.
Medarbetare
Kocak, Huseyin
Illustrationer
1 Illustrations, black and white; XVII, 224 p. 1 illus. With online files/update.
Dimensioner
234 x 155 x 21 mm
Vikt
386 g
Antal komponenter
1
Komponenter
1 Paperback / softback
ISBN
9780387969183

Differential and Difference Equations through Computer Experiments

With Diskettes Containing PHASER: An Animator/Simulator for Dynamical Systems for IBM Personal Computers

av Huseyin Kocak
Häftad,  Engelska, 1988-12-01
760
Köp
Spara som favorit
  • Skickas från oss inom 7-10 vardagar.
  • Fri frakt över 249 kr för privatkunder i Sverige.
Finns även som
Visa alla 3 format & utgåvor
Phaser is a sophisticated program for IBM personal com- puters, developed atBrown University by the author and some of his students, which enables usersto experiment with differential and difference equations and dynamical systems in an interactive environment using graphics. This book begins with a brief discussion of the geometric inter- pretation of differential equations and numerical methods, and proceeds to guide the student through the use of the program. To run Phaser, you need an IBM PC, XT, AT, or PS/2 with an IBM Color GRaphics Board (CGB), Enhanced Graphics Adapter (VGA). A math coprocessor is supported; however, one is not required for Phaser to run on the above hardware.
Visa hela texten

Passar bra ihop

  1. Differential and Difference Equations through Computer Experiments
  2. +
  3. The Anxious Generation

De som köpt den här boken har ofta också köpt The Anxious Generation av Jonathan Haidt (inbunden).

Köp båda 2 för 1049 kr

Kundrecensioner

Har du läst boken? Sätt ditt betyg »

Fler böcker av Huseyin Kocak

  • Dynamics and Bifurcations

    Dynamics and Bifurcations

    Jack K Hale, Huseyin Kocak

    The subject of differential and difference equations is an old and much-honored chapter in science, one which germinated in applied fields such as celestial mechanics, nonlinear oscillations, and fluid dynamics. In recent years, due primarily to t...

    1201
    Ladda ned
    Laddas ned direkt

Innehållsförteckning

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.

Du kanske gillar