LOBACHEVSKIY GEOMETRIYASI VA UNING ZAMONAVIY MATEMATIKADA QO`LLANISHI

Authors

  • Muxtorova Nozima Farhodjon qizi, Maxmudova Dilnoza Xayitmirzayevna NamDU Fizika -Matematika fakulteti Matematika yo`nalishi 1-bosqich talabasi, Ilmiy rahbar, NamDu Matematika kafedrasi katta o`qituvchisi

Keywords:

Labachevskiy geometry, Euclidean geometry, Parallel lines postulate, Hyperbolic space, Hyperbolic parallelism.

Abstract

The article discusses the main concepts of Labachevskiy geometry, created
by Nikolay Ivanovich Labachevskiy, and its development. It also highlights the significance
of Labachevskiy geometry in mathematical theories and modern scientific fields, analyzing
its role in scientific research and practical applications.

References

Riemann, B. (1854). On the Hypotheses which lie at the Foundations of Geometry.

O'Neill, B. (1983). Semi-Riemannian Geometry With Applications to Relativity.

Academic Press.

Thurston, W.P. (1997). Three-Dimensional Geometry and Topology. Princeton

University Press.

Maldacena, J. (1999). "The Large N Limit of Superconformal Field Theories and

Supergravity", International Journal of Theoretical Physics, 38(4), 1113–1133.

Mukhanov, V. (2005). Physical Foundations of Cosmology. Cambridge University Press.

Munzner, T. et al. (1996). "Drawing Large Graphs with H3Viewer and Hyperbolic

Geometry", Proceedings of the IEEE Symposium on Information Visualization, 2–10.

Lobachevsky, N. (1829). On the Principles of Geometry.

Do Carmo, M. (1992). Riemannian Geometry. Birkhäuser.

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Published

2025-04-12

How to Cite

Muxtorova Nozima Farhodjon qizi, Maxmudova Dilnoza Xayitmirzayevna. (2025). LOBACHEVSKIY GEOMETRIYASI VA UNING ZAMONAVIY MATEMATIKADA QO`LLANISHI. SAMARALI TA’LIM VA BARQAROR INNOVATSIYALAR JURNALI, 3(4), 108–115. Retrieved from https://innovativepublication.uz/index.php/jelsi/article/view/2861