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Lobachevsky Geometry and Modern Nonlinear Problems
This monograph presents the basic concepts of hyperbolic Lobachevsky geometry and their possible applications to modern nonlinear applied problems in mathematics and physics, summarizing the findings of roughly the last hundred years. The central sections cover the classical building blocks of hyper...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Birkhäuser,
2014.
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| Edición: | 1st ed. 2014. |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 020 | |a 9783319056692 |9 978-3-319-05669-2 | ||
| 024 | 7 | |a 10.1007/978-3-319-05669-2 |2 doi | |
| 050 | 4 | |a QA564-609 | |
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| 082 | 0 | 4 | |a 516.35 |2 23 |
| 100 | 1 | |a Popov, Andrey. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Lobachevsky Geometry and Modern Nonlinear Problems |h [electronic resource] / |c by Andrey Popov. |
| 250 | |a 1st ed. 2014. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Birkhäuser, |c 2014. | |
| 300 | |a VIII, 310 p. 103 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 505 | 0 | |a 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 Λ2-equations -- Bibliography -- Index. | |
| 520 | |a This monograph presents the basic concepts of hyperbolic Lobachevsky geometry and their possible applications to modern nonlinear applied problems in mathematics and physics, summarizing the findings of roughly the last hundred years. The central sections cover the classical building blocks of 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 treated as a universal "object" of investigation, connecting many of the problems discussed. The aim of this book is to form a general geometrical view on the different problems of modern mathematics, physics and natural science in general in the context of non-Euclidean hyperbolic geometry. | ||
| 650 | 0 | |a Algebraic geometry. | |
| 650 | 0 | |a Differential equations. | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 1 | 4 | |a Algebraic Geometry. |
| 650 | 2 | 4 | |a Differential Equations. |
| 650 | 2 | 4 | |a Mathematical Physics. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783319056708 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319056685 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319346229 |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-319-05669-2 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||