Mathematics as a laboratory tool dynamics, delays and noise
Science and the mathematics of black boxesThe mathematics of change -- Equilibria and steady states -- Stability -- Fixed points: Creation and destruction -- Transient dynamics -- Frequency domain I: Bode plots and transfer functions -- Frequency domain II: Fourier analysis and power spectra -- Feed...
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| Format: | UnknownFormat |
| Sprache: | eng |
| Veröffentlicht: |
New York, NY u.a.
Springer Verl.
2014
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| Online Zugang: | Inhaltsverzeichnis Autorenbiografie Verlagsangaben Cover Inhaltstext |
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| Zusammenfassung: | Science and the mathematics of black boxesThe mathematics of change -- Equilibria and steady states -- Stability -- Fixed points: Creation and destruction -- Transient dynamics -- Frequency domain I: Bode plots and transfer functions -- Frequency domain II: Fourier analysis and power spectra -- Feedback and control systems -- Oscillations -- Beyond limit cycles -- Random perturbations -- Noisy dynamical systems -- Random walkers -- Thermodynamic perspectives. "Based on the authors' experience teaching biology students, this book introduces a wide range of mathematical techniques in a lively and engaging style. Examples drawn from the authors' experimental and neurological studies provide a rich source of material for computer laboratories that solidify the concepts. The book will be an invaluable resource for biology students and scientists interested in practical applications of mathematics to analyze mechanisms of complex biological rhythms."-- 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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| Beschreibung: | Literaturverz. S. 461 - 487 Authors: John Milton (W.M. Keck Science Department, The Claremont Colleges, Claremont, CA, USA); Toru Ohira (Graduate School of Mathematics, Nagoya University, Nagoya, Japan) |
| Beschreibung: | XXV, 500 S. graph. Darst. 25 cm |
| ISBN: | 1461490952 1-4614-9095-2 9781461490951 978-1-4614-9095-1 |