Mathematics as a Laboratory Tool: Dynamics, Delays and Noise
- ISBN-10
- 3030695794
- ISBN-13
- 9783030695798
- Category
- Mathematics
- Language
- English
- Published
- 2021
- Publisher
- Springer Nature
- Authors
- John Milton, Toru Ohira
Description
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. Review: "Based on the authors' experience teaching biology students, this book introduces a wide range of mathematical techniques in a lively and engaging style. Examples drawn from the authors' experimental and neurological studies provide a rich source of material for computer laboratories that solidify the concepts. The book will be an invaluable resource for biology students and scientists interested in practical applications of mathematics to analyze mechanisms of complex biological rhythms." (Leon Glass, McGill University, 2013).
Get the book
Other editions
Similar books
-
Tools and Modes of Representation in the Laboratory Sciences
By U. KleinThis view is supported by several analyses presented in this volume. Sign systems can be implemented like tools that are manipulated and superposed with other types of signs to forge new representations.
-
Tools and Mathematics
By John Monaghan, Jonathan M. Borwein, Luc TroucheProust, C. (2000). Multiplication babylonienne: la part non e ́crite du calcul. Revue D'histoire des Mathe ́matiques, 6, 293–303. Proust, C. (2007). Tablettes mathe ́matiques de Nippur (Varia Anatolica Vol. XVIII).
-
Tools of American Mathematics Teaching, 1800–2000
By Peggy Aldrich Kidwell, Amy Ackerberg-Hastings, David Lindsay RobertsThat fall John W. Blyth, a professor of philosophy at Skinner's alma mater, Hamilton College in Clinton, New York, received a grant from the Ford Foundation's Fund for the Advancement of Education to develop a programmed course in logic ...
-
Mathematics and Technology: A C.I.E.A.E.M. Sourcebook
By Gilles Aldon, Fernando Hitt, Luciana BazziniThe methodology we used in designing the activity is based on the idea of a “mathematics laboratory” (UMI 2003) not as a ... A mathematics laboratory activity involves people (students and teachers), structures (classrooms, tools, ...
-
Selected Regular Lectures from the 12th International Congress on Mathematical Education
By Sung Je ChoMichela Maschietto Abstract This paper deals with the methodology of mathematics laboratory from two points of view: the first one concerns ... tools (digital but also classical tools as compass) in mathematics teaching and learning.
-
Forty-Second Anual Report of the Secretary of the State Board of Agriculture: Of the State of Michigan and Sixteenth Annual...
Find more at www.forgottenbooks.com This book is a reproduction of an important historical work.
-
Digital Curricula in School Mathematics
By Zalman Usiskin, Meg BatesMicrocomputer-Based Laboratory tools for use in the sciences are widely available and continue to improve in capability. They provide an excellent example of the tool being the teacher. They also demonstrate how the sciences have ...
-
Uses of Technology in Primary and Secondary Mathematics Education: Tools, Topics and Trends
By Colleen Vale, Paul Drijvers, Hans-Stefan SillerTools, Topics and Trends Lynda Ball, Paul Drijvers, Silke Ladel, Hans-Stefan Siller, Michal Tabach, Colleen Vale. A mathematics laboratory is (...) rather a methodology, based on various and structured activities, ...
-
European Traditions in Didactics of Mathematics
By Werner Blum, Michèle Artigue, Rudolf SträßerThis open access book discusses several didactic traditions in mathematics education in countries across Europe, including France, the Netherlands, Italy, Germany, the Czech and Slovakian Republics, and the Scandinavian states.
-
Constructing Knowledge for Teaching Secondary Mathematics: Tasks to enhance prospective and practicing teacher learning
By Peter Sullivan, Orit ZaslavskyThe first section presents some elements concerning the idea of mathematical laboratory connected to teacher ... It is important to bear in mind that a tool is always the result of a cultural evolution, and that it has been made for ...