Mathematics as a Laboratory Tool: Dynamics, Delays and Noise

The second edition of Mathematics as a Laboratory Tool emphasizes the impact of computational science on undergraduate science and engineering students, focusing on dynamics, time delays, and stochastic perturbations. It is accessible to those with a background in calculus and introduces advanced mathematical concepts such as Laplace and Fourier integral transforms and Bayesian inference.

Format: Paperback / softback
Length: 638 pages
Publication date: 13 August 2022
Publisher: Springer Nature Switzerland AG

The second edition of Mathematics as a Laboratory Tool is a comprehensive resource that reflects the increasing influence of computational science on the career choices of undergraduate science and engineering students. This edition emphasizes the dynamics and effects of time delays and stochastic perturbations, commonly referred to as "noise," on the regulation provided by feedback control systems. The concepts are illustrated through applications in various fields, such as gene regulatory networks, motor control, neuroscience, and population biology.

The presentation in the first edition has been expanded to encompass 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. To ensure accessibility to students with a background in calculus, every effort has been made to present the material in a clear and concise manner.

In addition to covering advanced mathematical concepts such as the Laplace and Fourier integral transforms, the text also introduces Bayesian inference through a series of detective-type scenarios, including the famous Monty Hall problem. This approach helps students grasp the practical applications of statistical inference and decision-making processes.

Overall, the second edition of Mathematics as a Laboratory Tool is an invaluable resource for students seeking to gain a deeper understanding of mathematics and its applications in the modern world. Its comprehensive coverage, engaging illustrations, and practical examples make it an essential tool for anyone interested in pursuing careers in science, engineering, or any other field that relies on mathematical principles.

Weight: 1003g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030695811
Edition number: 2nd ed. 2021