Mathematics as a Laboratory Tool

Dynamics, Delays and Noise
Softcover Nachdruck of the original 1. Auflage 2014
ISBN: 978-1-4939-5254-0
Verlag: Springer

Buch, Englisch, 500 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 7898 g

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.

Zielgruppe

Upper undergraduate

Autoren/Hrsg.

Ohira, Toru

Milton, John

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik

Inhaltsverzeichnis

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.

Über Autor(innen)

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