Overview
- Well-designed self-study program on linear and nonlinear models based on both ordinary and partial differential equations
- Comprehensively discusses the computational tools used to find solutions
- Includes the predator-prey model, a model of diabetes detection and the cable model for excitatory neurons
- Includes supplementary material: sn.pub/extras
Part of the book series: Cognitive Science and Technology (CSAT)
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Table of contents (18 chapters)
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Front Matter
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Introduction
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Front Matter
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Review
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Front Matter
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The Main Event
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Front Matter
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Interesting Models
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Front Matter
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Nonlinear Systems Again
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Front Matter
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Keywords
About this book
This book offers a self-study program on how mathematics, computer science and science can be profitably and seamlessly intertwined. This book focuses on two variable ODE models, both linear and nonlinear, and highlights theoretical and computational tools using MATLAB to explain their solutions. It also shows how to solve cable models using separation of variables and the Fourier Series.
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Calculus for Cognitive Scientists
Book Subtitle: Higher Order Models and Their Analysis
Authors: James K. Peterson
Series Title: Cognitive Science and Technology
DOI: https://doi.org/10.1007/978-981-287-877-9
Publisher: Springer Singapore
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer Science+Business Media Singapore 2016
Hardcover ISBN: 978-981-287-875-5Published: 16 February 2016
Softcover ISBN: 978-981-13-5720-6Published: 09 December 2018
eBook ISBN: 978-981-287-877-9Published: 09 February 2016
Series ISSN: 2195-3988
Series E-ISSN: 2195-3996
Edition Number: 1
Number of Pages: XXXIII, 556
Number of Illustrations: 20 b/w illustrations, 115 illustrations in colour
Topics: Computational Intelligence, Theoretical, Mathematical and Computational Physics, Mathematical Models of Cognitive Processes and Neural Networks, Artificial Intelligence, Computer Imaging, Vision, Pattern Recognition and Graphics
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