Mathematics As a Laboratory Tool: Dynamics, Delays and Noise - Couverture souple

Milton, John; Ohira, Toru

Couverture souple

ISBN 10 : 3030695816 ISBN 13 : 9783030695811

Editeur : Springer Nature Switzerland AG, 2022

Synopsis

The second edition of Mathematics as a Laboratory Tool reflects the growing impact that computational science is having on the career choices made by undergraduate science and engineering students. The focus is on dynamics and the effects of time delays and stochastic perturbations ("noise") on the regulation provided by feedback control systems. The concepts are illustrated with applications to gene regulatory networks, motor control, neuroscience and population biology. The presentation in the first edition has been extended to include discussions of neuronal excitability and bursting, multistability, microchaos, Bayesian inference, second-order delay differential equations, and the semi-discretization method for the numerical integration of delay differential equations. Every effort has been made to ensure that the material is accessible to those with a background in calculus. The text provides advanced mathematical concepts such as the Laplace and Fourier integral transforms in the form of Tools. Bayesian inference is introduced using a number of detective-type scenarios including the Monty Hall problem.

A propos du livre

À propos de l'auteur

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

Détails de l'édition

• Éditeur: Springer Nature Switzerland AG
• Date d'édition: 2022
• Langue: anglais
• ISBN 10: 3030695816
• ISBN 13: 9783030695811
• Reliure: Broché
• Numéro d'édition: 2
• Nombre de pages: 663
• Coordonnées du fabricant: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Allemagne