Erschienen: 20.08.2014 Abbildung von Popov | Lobachevsky Geometry and Modern Nonlinear Problems | 2014


Lobachevsky Geometry and Modern Nonlinear Problems

2014. Buch. viii, 310 S. 103 s/w-Abbildungen, Bibliographien. Hardcover

Birkhäuser. ISBN 978-3-319-05668-5

Format (B x L): 15,5 x 23,5 cm

Gewicht: 643 g

In englischer Sprache


This monograph presents the basic concepts of the hyperbolic Lobachevsky geometry and their possible applications to the modern nonlinear applied problems of mathematics and physics. It summarizes the results of about a hundred years. The central section's cover the classical building blocks of the hyperbolic Lobachevsky geometry, pseudo spherical surfaces theory, net geometrical investigative techniques of nonlinear differential equations in partial derivatives and their applications to the analysis of the physical models. As the sine-Gordon equation appears to have profound “geometrical roots” and numerous applications to modern nonlinear problems it is taken to be a universal “object” of investigation connecting many problems being discussed. The aim of this book is to form a general geometrical view in the context of non-Euclidean hyperbolic geometry on the different problems of modern mathematics, physics and natural science in general.


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