Lobachevsky Geometry and Modern Nonlinear Problems
Lobachevsky Geometry and Modern Nonlinear Problems
Iacob, Andrei; Popov, Andrey
Birkhauser Verlag AG
09/2016
310
Mole
Inglês
9783319346229
4861
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Introduction.- 1 Foundations of Lobachevsky geometry: axiomatics, models, images in Euclidean space.- 2 The problem of realizing the Lobachevsky geometry in Euclidean space.- 3 The sine-Gordon equation: its geometry and applications of current interest.- 4 Lobachevsky geometry and nonlinear equations of mathematical physics.- 5 Non-Euclidean phase spaces. Discrete nets on the Lobachevsky plane and numerical integration algorithms for 2-equations.- Bibliography.- Index.
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Tchebychev nets;hyperbolic geometry;nonlinear equations of mathematical physics;pseudospherical surfaces;sine-Gordon equation
Introduction.- 1 Foundations of Lobachevsky geometry: axiomatics, models, images in Euclidean space.- 2 The problem of realizing the Lobachevsky geometry in Euclidean space.- 3 The sine-Gordon equation: its geometry and applications of current interest.- 4 Lobachevsky geometry and nonlinear equations of mathematical physics.- 5 Non-Euclidean phase spaces. Discrete nets on the Lobachevsky plane and numerical integration algorithms for 2-equations.- Bibliography.- Index.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
