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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Caught by Disorder - Bound States in Random Media (Paperback, Softcover reprint of the original 1st ed. 2001)
Loot Price: R1,564
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Caught by Disorder - Bound States in Random Media (Paperback, Softcover reprint of the original 1st ed. 2001)
Series: Progress in Mathematical Physics, 20
Expected to ship within 10 - 15 working days
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The study of disorder has generated enormous research activity in
mathematics and physics. Over the past 15 years various aspects of
the subject have changed a number of paradigms and have inspired
the discovery of deep mathematical techniques to deal with complex
problems arising from the effects of disorder. One important effect
is a phenomenon called localization, which describes the very
strange behavior of waves in random media---the fact that waves,
instead of traveling through space as they do in ordered
environments, stay in a confined region (caught by disorder). To
date, there is no treatment of this subject in monograph or
textbook form. This book fills that gap.Caught by Disorder
presents: * an introduction to disorder that can be grasped by
graduate students in a hands-on way * a concise, mathematically
rigorous examination of some particular models of disordered
systems * a detailed application of the localization phenomenon,
worked out in two typical model classes that keep the
technicalities at a reasonable level * a thorough examination of
new mathematical machinery, in particular, the method of multiscale
analysis * a number of key unsolved problems * an appendix
containing the prerequisites of operator theory, as well as other
proofs * examples, illustrations, comprehensive bibliography,
author and keyword index Mathematical background for this book
requires only a knowledge of partial differential equations,
functional analysis---mainly operator theory and spectral
theory---and elementary probability theory. The work is an
excellent text for a graduate course or seminar in mathematical
physics or serves as a standard reference for specialists.
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