Read Calculus for Cognitive Scientists: Partial Differential Equation Models (Cognitive Science and Technology Book 0)

Calculus for Cognitive Scientists: Partial Differential Equation Models (Cognitive Science and Technology Book 0)

James K. Peterson

4.9/5 (25168 ratings)

Description:This book shows cognitive scientists in training how mathematics, computer science and science can be usefully and seamlessly intertwined. It is a follow-up to the first two volumes on mathematics for cognitive scientists, and includes the mathematics and computational tools needed to understand how to compute the terms in the Fourier series expansions that solve the cable equation. The latter is derived from first principles by going back to cellular biology and the relevant biophysics. A detailed discussion of ion movement through cellular membranes, and an explanation of how the equations that govern such ion movement leading to the standard transient cable equation are included. There are also solutions for the cable model using separation of variables, as well an explanation of why Fourier series converge and a description of the implementation of MatLab tools to compute the solutions. Finally, the standard Hodgkin - Huxley model is developed for an excitable neuron and is solved using MatLab.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Calculus for Cognitive Scientists: Partial Differential Equation Models (Cognitive Science and Technology Book 0). To get started finding Calculus for Cognitive Scientists: Partial Differential Equation Models (Cognitive Science and Technology Book 0), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Format: PDF, EPUB & Kindle Edition

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ISBN: 9812878807

Description: This book shows cognitive scientists in training how mathematics, computer science and science can be usefully and seamlessly intertwined. It is a follow-up to the first two volumes on mathematics for cognitive scientists, and includes the mathematics and computational tools needed to understand how to compute the terms in the Fourier series expansions that solve the cable equation. The latter is derived from first principles by going back to cellular biology and the relevant biophysics. A detailed discussion of ion movement through cellular membranes, and an explanation of how the equations that govern such ion movement leading to the standard transient cable equation are included. There are also solutions for the cable model using separation of variables, as well an explanation of why Fourier series converge and a description of the implementation of MatLab tools to compute the solutions. Finally, the standard Hodgkin - Huxley model is developed for an excitable neuron and is solved using MatLab.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Calculus for Cognitive Scientists: Partial Differential Equation Models (Cognitive Science and Technology Book 0). To get started finding Calculus for Cognitive Scientists: Partial Differential Equation Models (Cognitive Science and Technology Book 0), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Calculus for Cognitive Scientists: Partial Differential Equation Models (Cognitive Science and Technology Book 0)

Calculus for Cognitive Scientists: Partial Differential Equation Models (Cognitive Science and Technology Book 0)

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