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MATHEMATICS AS A LABORATORY TOOL dynamics delays and noise 2nd Edition by John Ohira, Toru Milton ISBN 9783030695798 3030695794

Name: MATHEMATICS AS A LABORATORY TOOL dynamics delays and noise 2nd Edition by John Ohira, Toru Milton ISBN 9783030695798 3030695794
SKU: EB-33998138
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MATHEMATICS AS A LABORATORY TOOL dynamics, delays and noise. 2nd Edition John Ohira Toru Milton Digital Instant Download

Author(s): JOHN OHIRA TORU MILTON

ISBN(s): 9783030695798, 3030695794

Edition: 2

File Details: PDF, 12.82 MB

Year: 2021

Language: English

SKU: EB-33998138 Category: Science (General) Tag: JOHN OHIRA TORU MILTON

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MATHEMATICS AS A LABORATORY TOOL dynamics delays and noise 2nd Edition by John Ohira, Toru Milton – Ebook PDF Instant Download/Delivery: 9783030695798 ,3030695794
Full download MATHEMATICS AS A LABORATORY TOOL dynamics delays and noise 2nd Edition after payment

Product details:

ISBN 10: 3030695794
ISBN 13: 9783030695798
Author: John Ohira, Toru Milton

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.

MATHEMATICS AS A LABORATORY TOOL dynamics delays and noise 2nd Edition Table of contents:

1. Science and the Mathematics of Black Boxes

2. The Mathematics of Change

3. Equilibria and Steady States

4. Stability

5. Fixed Points: Creation and Destruction

6. Transient Dynamics

7. Frequency Domain I: Bode Plots and Transfer Functions

8. Frequency Domain II: Fourier Analysis and Power Spectra

9. Feedback and Control Systems

10. Time delays

11. Oscillations

12. Characterizing and Manipulating Oscillations

13. Beyond Limit Cycles

14. Random Perturbations

15. Noisy Dynamical Systems

16. Random Walks

17. Thermodynamic Perspectives

18. Concluding Remarks

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Tags: John Ohira, Toru Milton, MATHEMATICS, LABORATORY TOOL, noise