Mathematics as a Laboratory Tool: Dynamics, Delays and Noise

by John Milton, Toru Ohira

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:	9783030695781
Publisher:	Springer International Publishing
Publication date:	08/11/2021
Edition description:	2nd ed. 2021
Pages:	638
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 Doman II: Fourier Analysis and Power Spectra.- Feedback and Control Systems-. Time delays.- Oscillations.- Characterizing and Manipulating Oscillations.- Beyond Limit Cycles.- Random Perturbations.- Noisy Dynamical Systems.- Random Walks.- Thermodynamic Perspectives.- Concluding Remarks.

Editorial Reviews

This book, written in an engaging and intuitive style, is aimed at undergraduate biology students; its primary goal is to provide a clear, comprehensive overview of the appropriate mathematical instruments for data collection and analysis, both deterministic and shastic. … the book also has the stated goal of contributing to a better shaping of the curricula for undergraduate biology education towards a better coverage of analytic, mathematical and computational methods.” (Paul Georgescu, zbMATH 1319.92001, 2015)

From the Publisher