Description: Calculus for Cognitive Scientists Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days). Partial Differential Equation Models Author(s): James Peterson Format: Hardback Publisher: Springer Verlag, Singapore, Singapore Imprint: Springer Verlag, Singapore ISBN-13: 9789812878786, 978-9812878786 Synopsis 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.
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Location: Aldershot
End Time: 2025-01-07T09:21:51.000Z
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Book Title: Calculus for Cognitive Scientists
Number of Pages: 534 Pages
Language: English
Publication Name: Calculus for Cognitive Scientists: Partial Differential Equation Models
Publisher: Springer Verlag, Singapore
Publication Year: 2016
Subject: Computer Science, Mathematics, Physics
Item Height: 235 mm
Item Weight: 9694 g
Type: Textbook
Author: James Peterson
Series: Cognitive Science and Technology
Item Width: 155 mm
Format: Hardcover
