Calculus for Cognitive Scientists

Partial Differential Equation Models

Nonfiction, Science & Nature, Science, Physics, Mathematical Physics, Computers, Advanced Computing, Artificial Intelligence, General Computing
Cover of the book Calculus for Cognitive Scientists by James Peterson, Springer Singapore
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: James Peterson ISBN: 9789812878809
Publisher: Springer Singapore Publication: February 11, 2016
Imprint: Springer Language: English
Author: James Peterson
ISBN: 9789812878809
Publisher: Springer Singapore
Publication: February 11, 2016
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer Singapore

Cover of the book Next Generation Spin Torque Memories by James Peterson
Cover of the book Invasive Tightly Coupled Processor Arrays by James Peterson
Cover of the book Data Management, Analytics and Innovation by James Peterson
Cover of the book Haptic Interaction by James Peterson
Cover of the book Thidiazuron: From Urea Derivative to Plant Growth Regulator by James Peterson
Cover of the book Rotifers by James Peterson
Cover of the book A Century of Plant Virology in India by James Peterson
Cover of the book Computational Advancement in Communication Circuits and Systems by James Peterson
Cover of the book Post-Truth, Fake News by James Peterson
Cover of the book Small-Sided and Conditioned Games in Soccer Training by James Peterson
Cover of the book Abuse and Neglect of the Elderly in India by James Peterson
Cover of the book Advances in Mathematical Inequalities and Applications by James Peterson
Cover of the book Environmental Impacts of Traditional and Innovative Forest-based Bioproducts by James Peterson
Cover of the book Phenomenology in Adaptation Planning by James Peterson
Cover of the book Teaching Methodologies in Structural Geology and Tectonics by James Peterson
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy