Mathematics as a Laboratory Tool: Dynamics, Delays and Noise

Mathematics as a Laboratory Tool: Dynamics, Delays and Noise

by John Milton, Toru Ohira

Paperback(Softcover reprint of the original 1st ed. 2014)

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Overview

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.

Product Details

ISBN-13: 9781493952540
Publisher: Springer New York
Publication date: 08/23/2016
Edition description: Softcover reprint of the original 1st ed. 2014
Pages: 500
Product dimensions: 6.10(w) x 9.25(h) x (d)

About the Author

John Milton, Professor of Biology and William R. Kenan Jr Chair n Computational Neuroscience, The Claremont Colleges; Adjunct Professor of Biotechnology, Keck Graduate Institute Toru Ohira, Professor Mathematics, Graduate School of Mathematics, Nagoya University, Japan

Table of Contents

Science and the mathematics of black boxes.- The 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.

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