The Leading eBooks Store Online 4,410,490 members ⚫ 1,532,108 ebooks

New to eBooks.com?

Learn more

Calculus for Cognitive Scientists

Partial Differential Equation Models

Calculus for Cognitive Scientists by James Peterson
Buy this eBook
US$ 209.00
(If any tax is payable it will be calculated and shown at checkout.)
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.
Springer Singapore; February 2016
546 pages; ISBN 9789812878809
Read online, or download in secure PDF format
Title: Calculus for Cognitive Scientists
Author: James Peterson
 
  • News
  • Contents
No entry found