Mathematics as a laboratory tool : dynamics, delays and noise / John Milton and Toru Ohira.
Material type:
- 9781461490951
- 570.151 23 M662
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Books | ISI Library, Kolkata | 570.151 M662 (Browse shelf(Opens below)) | Available | 136175 |
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Includes bibliographical references and index.
1. Science and the mathematics of black boxes --
2. The mathematics of change --
3. Equilibria and steady states --
4. Stability --
5. Fixed points: Creation and destruction --
6. Transient dynamics --
7. Frequency domain I: Bode plots and transfer functions --
8. Frequency domain II: Fourier analysis and power spectra --
9. Feedback and control systems --
10. Oscillations --
11. Beyond limit cycles --
12. Random perturbations --
13. Noisy dynamical systems --
14. Random walkers --
15. Thermodynamic perspectives--
16. Concluding remarks--
References--
Index.
This introductory textbook is based on the premise that the foundation of good science is good data. The educational challenge addressed by this introductory textbook is how to present a sampling of the wide range of mathematical tools available for laboratory research to well-motivated students with a mathematical background limited to an introductory course in calculus.
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