Professor of Mathematics
Spring 2012 teaching:
MATH 301-002: Ordinary Differential Equations (TR 2-3:15 PM)
MATH 407-901: Advanced Calculus (TR 4-5:15 PM)
Visit the Department of Mathematics and Applied Mathematics for information about the department people and programs.
Discrete Dynamics Seminar is open to faculty and students
What is mathematics? (for non-experts)
My books on Discrete Dynamical Systems, Difference
Equations and Applications:
Form Symmetries and Reduction of Order in Difference Equations (advanced text for students and researchers interested in novel new methods for dealing with reduction of order in higher order difference equations – an inaugural work in this area containing many results that have not appeared in print before)
Nonlinear Difference Equations: Theory with Applications to Social Science Models (a monograph for students and researchers interested in the latest theoretical results in discrete dynamics and the applications of these results to many mathematical models from various fields of social sciences; see the table of contents, preface, selected text and graphics and more)
My arXiv articles on reduction of order in difference equations:
Factorizations and reductions of order in quadratic and other non-recursive higher order difference equations (Promising new approach to solving and/or qualitatively analyzing difference equations through reductions of order, factorizations into triangular systems of lower order equations by substitutions for form symmetries, i.e., order-reducing coordinate transformations)
Factorization of difference equations by semiconjugacy with application to non-autonomous linear equations (General theory of semiconjugate factorization that extends the ideas in the preceding item above to time-dependent form symmetries and applies these to find decompositions and reductions of order for a broad class of higher order difference equations, that includes all linear equations, non-autonomous as well as non-homogeneous)
Online
information on Discrete Dynamical Systems, Difference Equations and
Applications:
Discrete Dynamical Systems and Nonlinear Difference Equations: A Gateway (an additional source for detailed information on, striking images of and lots of links to interesting sources and resources on dynamical systems where time and/or space may be discrete)
Spontaneous initiations
and terminations of reentry (SITR) patterns in human hearts – Results of an
interdisciplinary project involving mathematics, physiology, biology, cardiology and computer science to study temporal patterns
of ventricular tachyarrhythmia occurrences with articles published in the Journal of Theoretical Biology and the SIAM Journal of Applied Mathematics
List of Selected publications
Quotations:
Imagination is more important than knowledge. – Albert
Einstein, physicist
Minds are like parachutes; they function only when they are
open. – James Dewar, chemist
Who would not rather have the fame of Archimedes than
that of his conqueror Marcellus? – W.R. Hamilton, mathematician
It is not about having what you want but wanting what you
have. – Song lyric
To see the world in a grain of sand,
and a heaven in a wild flower.
Hold infinity in the palm of your hand,
and eternity in an hour. -- William Blake, in Auguries of Innocence
Mailing Address:
Department of Mathematics
Virginia Commonwealth University
1015 Floyd Ave-Harris Hall, Rm.4182
P.O. Box 842014
Richmond, VA 23284-2014
Tel. and voice mail: (804) 828-5806
Email: hsedagha@vcu.edu
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Commonwealth University
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