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" Deformations of Mathematical Structures II : "
edited by Julian Ławrynowicz.
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BL
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| Record Number
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774948
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b594943
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| Main Entry
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edited by Julian Ławrynowicz.
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| Title & Author
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Deformations of Mathematical Structures II : : Hurwitz-Type Structures and Applications to Surface Physics. Selected Papers from the Seminar on Deformations, Łódź-Malinka, 1988/92\ edited by Julian Ławrynowicz.
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| Publication Statement
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Dordrecht : Springer Netherlands : Imprint: Springer, 1994
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| Page. NO
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(X, 464 p. :)
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| ISBN
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940104838X
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: 9401118965
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: 9789401048385
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: 9789401118965
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| Notes
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Bibliographic Level Mode of Issuance: Monograph.
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| Contents
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I. Hurwitz-Type Structures --; General Theory --; Editors’ note --; Composition of sums of squares with integer coefficients --; Hurwitz-Type Structures Equipped With Additional Geometric and Analytic Structures --; Helmholtz operator with a quaternionic wave number and the associated function theory --; Clifford algebra derivation of the characteristic hypersurfaces of Maxwell’s equations --; Hermitian Hurwitz pairs --; Operator realizations of quantum Heisenberg-Weyl and SU(2)q algebras --; Some generalizations of the Jacobi identity with application to the curvature- and torsion-dependent hamiltonians of physical systems --; Special Hurwitz-Type Structures and the Many-Particle Problem --; On dualities generated by the generalised Hurwitz problem --; The duality theorem for the Hurwitz pairs of bidimension (8,5) and the Penrose theory --; Stochastical mechanics of particle systems in Clifford-analytical formulation related to Hurwitz pairs of bidimension (8,5) --; II. Surface Physics Structures --; Boundary Conditions: Broken Symmetry and Surafce Decorations --; Statistical mechanics of a crystal surface --; A Hurwitz-pair approach to the pre-melting problem --; On the existence conditions for surface states in tight-binding thin films --; Spin wave resonance profiles --; Deformation of physical and chemical properties of solids caused by the existence of a solid surface --; Spin polarization transport in thin magnetic film --; Nonlinear Solutions and Dynamical Properties: A Near-Surface Region --; Quasilinear quantum field theory (a program of quantization) --; A study on torsion vibrations in linear chains --; Etude monodimensionnelle d’sune barre vibrante avec contants unilateraux --; A generalization of the Landau-Lifschitz equation including non-magnetic phenomena --; Chaotic domain wall dynamics and coherent spatial structures in a magnetic system with surfaces.
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| Abstract
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This volume presents a collection of papers on geometric structures in the context of Hurwitz-type structures and applications to surface physics. The first part of this volume concentrates on the analysis of geometric structures. Topics covered are: Clifford structures, Hurwitz pair structures, Riemannian or Hermitian manifolds, Dirac and Breit operators, Penrose-type and Kaluza--Klein-type structures. The second part contains a study of surface physics structures, in particular boundary conditions, broken symmetry and surface decorations, as well as nonlinear solutions and dynamical properties: a near surface region. For mathematicians and mathematical physicists interested in the applications of mathematical structures.
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Functions of complex variables.
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Geometry, Algebraic.
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Mathematics.
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| LC Classification
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QA331.7E358 1994
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| Added Entry
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Julian Lawrynowicz
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Julian Ławrynowicz
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| Parallel Title
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Deformations of Mathematical Structures 2
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