Lobachevsky Geometry and Modern Nonlinear Problems
- 種類:
- 電子ブック
- 責任表示:
- by Andrey Popov
- 出版情報:
- Cham : Springer International Publishing : Imprint: Birkhäuser, 2014
- 著者名:
- ISBN:
- 9783319056692 [3319056697]
- 注記:
- 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
- ローカル注記:
- 岐阜大学構成員専用E-BOOKS (Gifu University members only)
類似資料:
|
Springer Basel AG |
Springer Berlin Heidelberg : Imprint: Springer |
|
Springer New York : Imprint: Springer |
8
電子ブック
The Mathematical Structure of Classical and Relativistic Physics : A General Classification Diagram
Springer New York : Imprint: Birkhäuser |
|
Birkhäuser Boston |
Springer Science+Business Media, LLC |
|
Springer Basel AG |
Springer Basel : Imprint: Birkhäuser |
|
Springer New York : Imprint: Birkhäuser |
Springer Basel : Imprint: Birkhäuser |
|
Springer Basel : Imprint: Birkhäuser |
12
電子ブック
Progress in Partial Differential Equations : Asymptotic Profiles, Regularity and Well-Posedness
Springer International Publishing : Imprint: Springer |