Calculus for Cognitive Scientists: Derivatives, Integrals and Models by James K. PetersonCalculus for Cognitive Scientists: Derivatives, Integrals and Models by James K. Peterson

Calculus for Cognitive Scientists: Derivatives, Integrals and Models

byJames K. Peterson

Hardcover | February 11, 2016

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This book provides a self-study program on how mathematics, computer science and science can be usefully and seamlessly intertwined. Learning to use ideas from mathematics and computation is essential for understanding approaches to cognitive and biological science. As such the book covers calculus on one variable and two variables and works through a number of interesting first-order ODE models. It clearly uses MatLab in computational exercises where the models cannot be solved by hand, and also helps readers to understand that approximations cause errors - a fact that must always be kept in mind.
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...
Title:Calculus for Cognitive Scientists: Derivatives, Integrals and ModelsFormat:HardcoverDimensions:507 pagesPublished:February 11, 2016Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9812878726

ISBN - 13:9789812878724

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Table of Contents

Introductory Remarks.- Viability Selection.- Limits and Basic Smoothness.- Continuity and Derivatives.- Sin, Cos and All That.- Antiderivatives.- Substitutions.- Riemann Integration.- The Logarithm and Its Inverse.- Exponential and Logarithm Function Properties.- Simple Rate Equations.- Simple Protein Models.- Logistics Models.- Function Approximation.- Extreme Values.- Numerical Methods Order One ODEs.- Advanced Protein Models.- Matrices and Vectors.- A Cancer Model.- First Order Multivariable Calculus.- Second Order Multivariable Calculus.- Hamilton's Rule In Evolutionary Biology.- Final Thoughts.- Background Reading.

Editorial Reviews

"The introductory remarks in this book address the concern that many presentations of mathematics focus so heavily on traditional content that the usefulness of mathematics in other fields can be overlooked. . the approach is both demanding and thorough, but the brief exercise sets remain focused on providing opportunities for straightforward practice of the principles at hand. . Summing Up: Recommended. Lower- and upper-division undergraduates." (N. W. Schillow, Choice, Vol. 54 (4), December, 2016)