The Resource Lobachevsky geometry and modern nonlinear problems, Andrey Popov ; translated by Andrei Iacob

Lobachevsky geometry and modern nonlinear problems, Andrey Popov ; translated by Andrei Iacob

Label
Lobachevsky geometry and modern nonlinear problems
Title
Lobachevsky geometry and modern nonlinear problems
Statement of responsibility
Andrey Popov ; translated by Andrei Iacob
Creator
Contributor
Author
Translator
Subject
Language
  • eng
  • rus
  • eng
Summary
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
Cataloging source
GW5XE
Dewey number
516.9
Index
index present
Language note
Translated from the Russian
LC call number
QA685
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Label
Lobachevsky geometry and modern nonlinear problems, Andrey Popov ; translated by Andrei Iacob
Publication
Copyright
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
http://library.link/vocab/branchCode
  • net
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
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 [Lambda]2-equations -- Bibliography -- Index
Control code
ocn887169594
Dimensions
unknown
Extent
1 online resource (viii, 310 pages)
File format
unknown
Form of item
online
Isbn
9783319056685
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-05669-2
Other physical details
illustrations
Quality assurance targets
not applicable
http://library.link/vocab/recordID
.b31761616
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)887169594
  • springer3319056689

Library Locations

    • Deakin University Library - Geelong Waurn Ponds CampusBorrow it
      75 Pigdons Road, Waurn Ponds, Victoria, 3216, AU
      -38.195656 144.304955
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