Lobachevsky Geometry and Modern Nonlinear Problems

Andrey Popov

ISBN 10: 3319346229 / ISBN 13: 9783319346229

Published by Springer International Publishing, 2016

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9783319346229

Bibliographic Details

• Title: Lobachevsky Geometry and Modern Nonlinear Problems
• Publisher: Springer International Publishing
• Publication Date: 2016
• Language: English
• ISBN 10: 3319346229
• ISBN 13: 9783319346229
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 18D millimeters 235 millimeters width by 155 millimeters height by 18 millimeters depth
• Weight: 487 grams

About this title

Synopsis

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.