Neuroscience A Mathematical Primer eBook

Neuroscience A Mathematical Primer eBook

release name: Neuroscience.A.Mathematical.Primer.eBook-EEn
release date: 02.15.05
author: Scott, Alwyn
title: Neuroscience: A Mathematical Primer
ISBN: 0387954031


This is an introductory text of mathematical
neuroscience intended for anyone who wants to
appreciate the role that mathematics and mathematical
modeling and analysis can do to aid an understanding
of how the brain works and the nature of the mind.
In particular, the book will be of interest to
established neuroscientists and neuroscience students
who wish to know what roles mathematical formulations
can play in attempting to comprehend the dynamics of a
human brain. It is expected that this text will be
interesting for mathematics faculty teaching in
neuroscience programs. It also aims to serve as a
general introduction to neuromathematics in neuroscience
programs at both undergraduate and graduate levels.
Physical scientists and bioengineers who plan to extend
their research activities into the realms of cognitive
science will find this an ideal guide, as will
philosophers and social scientists who wish to
understand the degree to which dynamics of a brain can
be reduced to mathematical formulations. Mathematical
formulations in neuroscience are of five sorts: (i) Exact
descriptions of well understood dynamic processes, like
the Hodgkin-- Huxley theory of the nerve impulse. (ii)
Metaphorical descriptions of more complex phenomena, like
the stationary states of a Hopfield model. (iii)
Information theory for dealing with the storage and transmission
of data. (iv) Logical calculus (Boolean algebra) for the
analysis of information processing systems. (v) Number theory
for counting large numbers of possibilities. (vi) Statistical
tools for organizing and evaluating data.

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