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Nonlinear physics with Maple for scientists and engineers

Author: Richard H Enns; George McGuire
Publisher: Boston : Birkhäuser, ©2000.
Edition/Format:   Print book : CD audio : Audio book, etc.   Sound Recording : English : 2nd edView all editions and formats
Summary:
This introduction to nonlinear physics is designed around Maple's ability to perform symbolic computations, plot, animate, and permit readers to investigate nonlinear models. The two volumes of the previous edition have been combined into one, with an expanded theoretical discussion and many new examples. The disk contains Maple code. 272 illus.
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Additional Physical Format: Online version:
Enns, Richard H.
Nonlinear physics with Maple for scientists and engineers.
Boston: Birkhäuser, ©2000
(OCoLC)872632527
Material Type: Audio book, etc.
Document Type: Book, Sound Recording
All Authors / Contributors: Richard H Enns; George McGuire
ISBN: 081764119X 9780817641191 376434119X 9783764341190
OCLC Number: 42643357
Description: xiii, 661 pages : illustrations ; 26 cm + 1 computer disc (3 1/2 in.)
Details: System requirements for accompanying computer disk: Windows.
Contents: 1. Introduction --
2. Nonlinear Systems. Part I --
3. Nonlinear Systems. Part II --
4. Topological Analysis --
5. Analytic Methods --
6. The Numerical Approach --
7. Limit Cycles --
8. Forced Oscillators --
9. Nonlinear Maps --
10. Nonlinear PDE Phenomena --
11. Numerical Simulation --
12. Inverse Scattering Method. 1. Spin Toy Pendulum. 2. Driven Eardrum. 3. Nonlinear Damping. 4. Anharmonic Potential. 5. Iron Core Inductor. 6. Nonlinear LRC Circuit. 7. Tunnel Diode Negative Resistance Curve. 8. Tunnel Diode Self-Excited Oscillator. 9. Forced Duffing Equation. 10. Focal Point Instability. 11. Compound Pendulum. 12. Stable Limit Cycle. 13. Van der Pol Limit Cycle. 14. Relaxation Oscillations: Neon Bulb. 15. Relaxation Oscillations: Drinking Bird. 16. Relaxation Oscillations: Tunnel Diode. 17. Hard Spring. 18. Nonlinear Resonance Curve: Mechanical. 19. Nonlinear Resonance Curve: Electrical. 20. Nonlinear Resonance Curve: Magnetic. 21. Subharmonic Response: Period Doubling. 22. Diode: Period Doubling. 23. Five-Well Magnetic Potential. 24. Power Spectrum. 25. Entrainment and Quasiperiodicity. 26. Quasiperiodicity. 27. Chua's Butterfly. 28. Route to Chaos. 29. Driven Spin Toy. 30. Mapping.
Responsibility: Richard H. Enns, George C. McGuire.

Abstract:

Philosophy of the Text This text presents an introductory survey of the basic concepts and applied mathematical methods of nonlinear science as well as an introduction to some simple related  Read more...

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"In this second edition extensive use is made of the computer algebra system, Maple (R) V. No prior knowledge of Maple (R) or of programming is assumed." -Zentralblatt Math"Correctly balances a good Read more...

 
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