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Calculus for Cognitive Scientists: Higher Order Models and Their Analysis

Calculus for Cognitive Scientists: Higher Order Models and Their Analysis

Autorzy
Wydawnictwo Springer, Berlin
Data wydania
Liczba stron 556
Forma publikacji książka w miękkiej oprawie
Język angielski
ISBN 9789811357206
Kategorie Sztuczna inteligencja
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Opis książki

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.

Calculus for Cognitive Scientists: Higher Order Models and Their Analysis

Spis treści

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.

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