Calculus for Cognitive Scientists Partial Differential Equation Models /

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...

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Bibliographic Details
Main Author: Peterson, James (Author)
Corporate Author: SpringerLink (Online service)
Format: e-Book
Language:English
Published: Singapore : Springer Nature Singapore : Imprint: Springer, 2016.
Edition:1st ed. 2016.
Series:Cognitive Science and Technology,
Subjects:
Computational intelligence.
Mathematical physics.
Neural networks (Computer science) .
Artificial intelligence.
Image processing > Digital techniques.
Computer vision.
Computational Intelligence.
Theoretical, Mathematical and Computational Physics.
Mathematical Models of Cognitive Processes and Neural Networks.
Artificial Intelligence.
Computer Imaging, Vision, Pattern Recognition and Graphics.
Online Access:Full-text access
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Table of Contents:
  • Introduction
  • Graham - Schmidt Orthogonalization
  • Numerical Differential Equations
  • Biological Molecules
  • Ion Movement
  • Lumped and Distributed Cell Models
  • Time Independent Solutions to Infinite Cables
  • Time Independent Solutions to Finite and Half-Infinite Space Cables
  • A Primer On Series Solutions
  • Linear Partial Differential Equations
  • Simplified Dendrite - Soma - Axon Information Processing
  • The Basic Hodgkin - Huxley Model
  • Final Thoughts
  • Background Reading.

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