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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.
List 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.
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
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.
Additional text
“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
stochastic. … 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)
Report
"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 stochastic. ... 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)
