Nonlinear Physics (Solitons, Chaos, Localization)
by Nikos Theodorakopoulos
Publisher: Universitaet Konstanz 2006
Number of pages: 181
This set of lectures describes some of the basic concepts mainly from the angle of condensed matter / statistical mechanics, an area which provided an impressive list of nonlinearly governed phenomena over the last fifty years - starting with the Fermi-Pasta-Ulam numerical experiment and its subsequent interpretation by Zabusky and Kruskal in terms of solitons.
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by Pavel Bleher, Alexander Its - Cambridge University Press
The book covers broad areas such as topologic and combinatorial aspects of random matrix theory; scaling limits, universalities and phase transitions in matrix models; universalities for random polynomials; and applications to integrable systems.
by Roy McWeeny - Learning Development Institute
Contents: Linear vector spaces; Elements of tensor algebra; The tensor calculus (Volume elements, tensor densities, and volume integrals); Applications in Relativity Theory (Elements of special relativity, Tensor form of Maxwell's equations).
by John C. Baez, Mike Stay - arXiv
There is extensive network of analogies between physics, topology, logic and computation. In this paper we make these analogies precise using the concept of 'closed symmetric monoidal category'. We assume no prior knowledge of category theory.
by Klaus Kirsten, Floyd L. Williams - Cambridge University Press
This book provides an introduction, with applications, to three interconnected mathematical topics: zeta functions in their rich variety; modular forms; vertex operator algebras. Applications of the material to physics are presented.