Mathematics as a Laboratory Tool Dynamics, Delays and Noise [Paperback]

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.This book introduces a wide variety of mathematical methods, such as? signal processing, systems identification, and stochastic differential equations, to an undergraduate audience interested in biological dynamics. Includes exercises and examples.Science and the mathematics of black boxes.- The mathematics of change.- Equilibria and steady states.- Stability.- Fixedpoints: 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.

This book, written in an engaging and intuitivestyle, is aimed at undergraduate biology students; its primary goal is toprovide a clear, comprehensive overview of the appropriate mathematicalinstruments for data collection and analysis, both deterministic andstochastic. & the book also has the stated goal of contributing to a bettershaping of the curricula for undergraduate biology education towards a bettercoverage of analytic, mathematical and computational methods. (Paul Georgescu,zbMATH 1319.92001, 2015)

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

The importance of mathematics in the undergraduate biology curriculum is ever increasing, as is the importance oflÓ7