Nonlinear Physics with Mathematica for Scientists and Engineers
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(Sprache: Englisch)
Nonlinear physics continues to be an area of dynamic modern research, with applications to physics, engineering, chemistry, mathematics, computer science, biology, medicine and economics. In this text extensive use is made of the Mathematica computer...
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Nonlinear physics continues to be an area of dynamic modern research, with applications to physics, engineering, chemistry, mathematics, computer science, biology, medicine and economics. In this text extensive use is made of the Mathematica computer algebra system. No prior knowledge of Mathematica or programming is assumed. This book includes 33 experimental activities that are designed to deepen and broaden the reader's understanding of nonlinear physics. These activities are correlated with Part I, the theoretical framework of the text. Additional features: User-friendly, accessible presentation integrating theory, experiments, and the provided Mathematica notebooks; as the concepts of nonlinear science are developed, readers are gently introduced to Mathematica as an auxiliary tool Notebooks designed to make use of Mathematica's sound capability Mathematica notebook using the EulerEquation command incorporated into the text This work is an excellent text for undergraduate and graduate students as well as a useful resource for working scientists. Reviewer comments on the Maple edition of NONLINEAR PHYSICS: "An...excellent book...the authors have been able to cover an extraordinary range of topics and hopefully excite a wide audience to investigate nonlinear phenomena...accessible to advanced undergraduates and yet challenging enough for graduate students and working scientists.... The reader is guided through it all with sound advice and humor.... I hope that many will adopt the text." -American Journal of Physics "Its organization of subject matter, clarity of writing, and smooth integration of analytic and computational techniques put it among the very best...Richard Enns and George McGuire have written an excellent text for introductory nonlinear physics." -Computers in Physics "...correctly balances a good treatment of nonlinear, but also nonchaotic, behavior of systems with some of the exciting findings about chaotic dynamics...one of the book's strength is
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the diverse selection of examples from mechanical, chemical, electronic, fluid and many other systems .... Another strength of the book is the diversity of approaches that the student is encouraged to take...the authors have chosen well, and the trio of text,...software, and lab manual gives the newcomer to nonlinear physics quite an effective set of tools.... Basic ideas are explained clearly and illustrated with many examples." -Physics Today "... the care that the authors have taken to ensure that their text is as comprehensive, versatile, interactive, and student-friendly as possible place this book far above the average." -Scientific Computing World
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Inhaltsverzeichnis zu „Nonlinear Physics with Mathematica for Scientists and Engineers “
PrefacePart I: THEORY
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
Part II: EXPERIMENTAL ACTIVITIES Introduction to Nonlinear Experiments
1. Magnetic Force
2. Magnetic Tower
3. Spin Toy Pendulum
4. Driven Eardrum
5. Nonlinear Damping
6. Anaharmonic Potential
7. Iron Core Conductor
8. Nonlinear LRC Circuit
9. Tunnel Diode Negative Resistance Curve
10. Tunnel Diode Self-Excited Oscillator
11. Forced Duffing Equation
12. Focal Point Instability
13. Compound Pendulum
14. Damped Simple Pendulum
15. Stable Limit Cycle
16. Van der Pol Limit Cycle
17. Relaxation Oscillations: Neon Bulb
18. Relaxation Oscillations: Drinking Bird
19. Relaxation Oscillations: Tunnel Diode
20. Hard Spring
21. Nonlinear Resonance Curve: Mechanical
22. Nonlinear Resonance Curve: Electrical
23. Nonlinear Resonance Curve: Magnetic
24. Subharmonic Response: Period Doubling
25. Diode: Period Doubling
26. Five-Well Magnetic Potential
27. Power Spectrum
28. Entrainment and Quasiperiodicity
29. Quasiperiodicity
30. Chua's Butterfly
31. Route to Chaos
32. Driven Spin Toy
33. MappingBibliographyIndex.
Bibliographische Angaben
- Autoren: Richard H. Enns , George C. McGuire
- 2001, 695 Seiten, Maße: 18,4 x 26,1 cm, Gebunden, Englisch
- Verlag: Springer
- ISBN-10: 0817642234
- ISBN-13: 9780817642235
- Erscheinungsdatum: 01.07.2001
Sprache:
Englisch
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