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Observed Brain Dynamics$
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Partha Mitra and Hemant Bokil

Print publication date: 2007

Print ISBN-13: 9780195178081

Published to Oxford Scholarship Online: May 2009

DOI: 10.1093/acprof:oso/9780195178081.001.0001

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Mathematical Preliminaries

Mathematical Preliminaries

Chapter:
(p.51) 5 Mathematical Preliminaries
Source:
Observed Brain Dynamics
Author(s):

Partha P. Mitra

Hemant Bokil

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780195178081.003.0005

This chapter reviews a broad range of mathematical topics relevant to the rest of the book. It begins with a brief discussion of real and complex numbers and elementary real and complex functions, followed by a summary of linear algebra, paying special attention to matrix decomposition techniques. Fourier analysis is discussed in some detail because this is a topic of central importance to time series analysis. After a brief review of probability theory, the core set of topics for the chapter is considered, dealing with stochastic process theory. This includes a discussion of point as well as continuous processes.

Keywords:   real numbers, complex numbers, elementary functions, Fourier analysis, time frequency analysis, probability theory, stochastic processes

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