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Mathematics as a laboratory tool : dynamics, delays and noise / John Milton and Toru Ohira.

By: Contributor(s): Material type: TextTextPublication details: New York : Springer, 2014.Description: xxv, 500 p. : illustrations (some color) ; 24 cmISBN:
  • 9781461490951
Subject(s): DDC classification:
  • 570.151 23 M662
Contents:
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.
Summary: 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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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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