Abstract
This first chapter is devoted to an exposition of the foundations of Lobachevsky geometry, formed by three classical components: axiomatics, model interpretations, and investigation of surfaces of constant negative curvature. The discussion of these parts is carried out keeping in mind what is required for their application to problems of contemporary mathematical physics.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Popov, A. (2014). Foundations of Lobachevsky geometry: axiomatics, models, images in Euclidean space. In: Lobachevsky Geometry and Modern Nonlinear Problems. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-05669-2_2
Download citation
DOI: https://doi.org/10.1007/978-3-319-05669-2_2
Published:
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-05668-5
Online ISBN: 978-3-319-05669-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)