Calculus for Cognitive Scientists : Partial Differential Equation Models
Peterson, James K.
Calculus for Cognitive Scientists : Partial Differential Equation Models by James K Peterson - 1st ed. - Singapore Springer 2016 - 1 recurso en línea (XXXI, 534 p.) 156 il. col. - Cognitive Science and Technology 2195-3988 . - Cognitive Science and Technology .
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.
9789812878809
Cálculo
QA303.2 / .P484 2016 EB
Calculus for Cognitive Scientists : Partial Differential Equation Models by James K Peterson - 1st ed. - Singapore Springer 2016 - 1 recurso en línea (XXXI, 534 p.) 156 il. col. - Cognitive Science and Technology 2195-3988 . - Cognitive Science and Technology .
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.
9789812878809
Cálculo
QA303.2 / .P484 2016 EB