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Lobachevsky Geometry and Modern Nonlinear Problems | Andrey Popov | Buch | Englisch | 2014 | Springer-Verlag GmbH | EAN 9783319056685 - copertina rigida, flessible

2014, ISBN: 9783319056685

[ED: Gebunden], [PU: Springer-Verlag GmbH], This monograph presents the basic concepts of hyperbolic Lobachevsky geometry and their possible applications to modern nonlinear applied probl… Altro …

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Lobachevsky Geometry and Modern Nonlinear Problems  Andrey Popov  Buch  Englisch  2014  Springer-Verlag GmbH  EAN 9783319056685 - Popov, Andrey
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Lobachevsky Geometry and Modern Nonlinear Problems Andrey Popov Buch Englisch 2014 Springer-Verlag GmbH EAN 9783319056685 - copertina rigida, flessible

2014, ISBN: 9783319056685

[ED: Gebunden], [PU: Springer-Verlag GmbH], This monograph presents the basic concepts of hyperbolic Lobachevsky geometry and their possible applications to modern nonlinear applied probl… Altro …

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2014

ISBN: 3319056689

This monograph presents the basic concepts of hyperbolic Lobachevsky geometry and their possible applications to modern nonlinear applied problems in mathematics and physics, summarizing … Altro …

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ISBN: 9783319056685

This monograph presents the basic concepts of hyperbolic Lobachevsky geometry and their possible applications to modern nonlinear applied problems in mathematics and physics, summarizing … Altro …

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Lobachevsky Geometry and Modern Nonlinear Problems - copertina rigida, flessible

2014, ISBN: 3319056689

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Dettagli del libro
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 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.

Informazioni dettagliate del libro - Lobachevsky Geometry and Modern Nonlinear Problems


EAN (ISBN-13): 9783319056685
ISBN (ISBN-10): 3319056689
Copertina rigida
Anno di pubblicazione: 2014
Editore: Springer International Publishing

Libro nella banca dati dal 2014-09-19T15:51:17+02:00 (Rome)
Pagina di dettaglio ultima modifica in 2024-03-02T06:30:25+01:00 (Rome)
ISBN/EAN: 9783319056685

ISBN - Stili di scrittura alternativi:
3-319-05668-9, 978-3-319-05668-5
Stili di scrittura alternativi e concetti di ricerca simili:
Autore del libro : popov, andrey
Titolo del libro: popov, problems geometry


Dati dell'editore

Autore: Andrey Popov
Titolo: Lobachevsky Geometry and Modern Nonlinear Problems
Editore: Birkhäuser; Springer International Publishing
310 Pagine
Anno di pubblicazione: 2014-08-20
Cham; CH
Stampato / Fatto in
Traduttore: Andrei Iacob
Lingua: Inglese
106,99 € (DE)
109,99 € (AT)
118,00 CHF (CH)
POD
VIII, 310 p. 103 illus.

BB; Hardcover, Softcover / Mathematik/Arithmetik, Algebra; Algebraische Geometrie; Verstehen; Tchebychev nets; hyperbolic geometry; nonlinear equations of mathematical physics; pseudospherical surfaces; sine-Gordon equation; partial differential equations; Algebraic Geometry; Differential Equations; Mathematical Physics; Differentialrechnung und -gleichungen; Mathematische Physik; EA; BC

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.
First summary of research in the field of applications of hyperbolic geometry to solve theoretical physics problems Clearly written and well presented Provides an extensive list of relevant literature

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