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Calculus for Cognitive Scientists = ...
~
Peterson, James K.
Calculus for Cognitive Scientists = Derivatives, Integrals and Models /
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Calculus for Cognitive Scientists/ by James K. Peterson.
Reminder of title:
Derivatives, Integrals and Models /
Author:
Peterson, James K.
Description:
XXXI, 507 p. 105 illus. in color.online resource. :
Contained By:
Springer Nature eBook
Subject:
Computational intelligence. -
Online resource:
https://doi.org/10.1007/978-981-287-874-8
ISBN:
9789812878748
Calculus for Cognitive Scientists = Derivatives, Integrals and Models /
Peterson, James K.
Calculus for Cognitive Scientists
Derivatives, Integrals and Models /[electronic resource] :by James K. Peterson. - 1st ed. 2016. - XXXI, 507 p. 105 illus. in color.online resource. - Cognitive Science and Technology,2195-3988. - Cognitive Science and Technology,.
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.
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.
ISBN: 9789812878748
Standard No.: 10.1007/978-981-287-874-8doiSubjects--Topical Terms:
568984
Computational intelligence.
LC Class. No.: Q342
Dewey Class. No.: 006.3
Calculus for Cognitive Scientists = Derivatives, Integrals and Models /
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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.
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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.
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