Calculus for Cognitive Scientists: Higher Order Models and Their Analysis by James K. PetersonCalculus for Cognitive Scientists: Higher Order Models and Their Analysis by James K. Peterson

Calculus for Cognitive Scientists: Higher Order Models and Their Analysis

byJames K. Peterson

Hardcover | February 16, 2016

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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.

Dr. James Peterson is an Associate Professor in Mathematical Sciences and Biological Sciences at Clemson University, USA. His formal training is in mathematics but he has worked as an aerospace engineer and a software engineer also. He enjoys working on very hard problems that require multiple disciplines to make sense out of and he re...
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Title:Calculus for Cognitive Scientists: Higher Order Models and Their AnalysisFormat:HardcoverDimensions:556 pagesPublished:February 16, 2016Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9812878750

ISBN - 13:9789812878755

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Table of Contents

Introductory Remarks.- Linear Algebra.- Numerical Methods Order One ODEs.- Multivariable Calculus.- Integration.- Complex Numbers.- Linear Second Order ODEs.- Systems.- Numerical Methods Systems of ODEs.- Predator Prey Models.- Predator Prey Models With Self Interaction.- Disease Models.- A Cancer Model.- Nonlinear Differential Equations.- An Insulin Model.- Series Solutions.- Final Thoughts.- Background Reading.