Differential and Difference Equations through Computer Experiments (häftad)
Fler böcker inom
Format
Häftad (Paperback / softback)
Språk
Engelska
Antal sidor
224
Utgivningsdatum
2012-02-20
Upplaga
1986 ed.
Förlag
Springer-Verlag New York Inc.
Illustrationer
XVI, 224 p. With online files/update.
Dimensioner
234 x 156 x 13 mm
Vikt
345 g
Antal komponenter
1
Komponenter
1 Paperback / softback
ISBN
9781468402735

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, 2012-02-20
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
This is a somewhat unusual book with a dual purpose. First, it is a manual to help readers learn how to use PRASER, the program on the accompanying diskette for mM personal computers. Second, it is an illustrated guide to the wonderful world of experimental and theoretical dynamics, one which presents dozens of concrete examples ranging from the most rudimentary, appropriate for the beginning student, to the highly complex, suitable for the research mathematician. Before indicating what PRASER does and how it works, let me describe how it came a.bout. During the past decade the field of differential and difference equations has witnessed a remarkable explo sion of knowledge, not only in theory but also in applications to discip lines as diverse as biology and fluid mechanics. Computers have played a crucial role in this process by making possible detailed analyses of specific systems. In this regard, one need only mention the work of Lorenz on strange attractors and the discoveries of Feigenbaum on the bifurcations of interval maps.
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, quad1, quad2, henon, lozi, dellogis, dispprey, bounball, anosov, cremona, icremona, gingerman.- 8.3. Three-dimensional Equations dislm3d, act.- What remains to be done?.- Appendix A: PHASER Quick Reference.- Appendix B: Library of Equations.- References.

Du kanske gillar