Calculus for Cognitive Scientists

Partial Differential Equation Models

Häftad, Engelska, 2018

AvJames Peterson

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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.

Produktinformation

Utgivningsdatum2018-12-09
Mått155 x 235 x 31 mm
Vikt850 g
FormatHäftad
SpråkEngelska
SerieCognitive Science and Technology
Antal sidor534
FörlagSpringer Verlag, Singapore
ISBN9789811357213

Tillhör följande kategorier

Tillämpad matematik inom Naturvetenskap och teknik
Matematisk fysik inom Naturvetenskap och teknik
Systemvetenskap och AI inom Data och it
Artificiell intelligens inom Data och it

Dr. James Peterson is an Associate Professor in Mathematical Sciences and Biological Sciences at Clemson University, USA. His formal training is in mathematics but he has worked as an aerospace engineer and a software engineer also. He enjoys working on very hard problems that require multiple disciplines to make sense out of and he reads, studies and plays in cutting edge areas a lot as part of his interests.

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.