Mathematics as a Laboratory Tool
Dynamics, Delays and Noise
Published on 18. September 2014
XXV, 500 pages
978-1-4614-9096-8 (ISBN)
Description
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.
Reviews / Votes
"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)
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Book
11/2014
Springer
€74.89
Article exhausted; check for reprint
Persons
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
Content
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.
