Mathematics as a Laboratory Tool

Dynamics, Delays and Noise

AvJohn Milton,Toru Ohira

Häftad, Engelska, 2016

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2016-08-23
Mått:155 x 235 x 29 mm
Vikt:791 g
Format:Häftad
Språk:Engelska
Antal sidor:500
Förlag:Springer-Verlag New York Inc.
ISBN:9781493952540

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Mer om författaren

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

Recensioner i media

"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)

Innehållsförteckning

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.