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The Revolution of Nikolai Lobachevsky

P. iii–viii.
Karpenko I.

Neither general relativity (which revealed that gravity is merely manifestation of the non-Euclidean geometry of spacetime) nor modern cosmology would have been possible without the almost simultaneous and independent discovery of non-Euclidean geometry in the 19th century by three great mathematicians - Nikolai Ivanovich Lobachevsky, János Bolyai and Carl Friedrich Gauss (whose ideas were later further developed by Georg Friedrich Bernhard Riemann).This volume contains three works by Lobachevsky on the foundations of geometry and non-Euclidean geometry: "Geometry", "Geometrical investigations on the theory of parallel lines" and "Pangeometry". It will be of interest not only to experts and students in mathematics, physics, history and philosophy of science, but also to anyone who is not intimidated by the magnitude of one of the greatest discoveries of our civilization and would attempt to follow (and learn from) Lobachevsky's line of thought, helpfully illustrated by over 130 figures, that led him to the discovery.

Language: English
Full text
Keywords: LobachevskyЛобачевскийnon-euclidean geometryнеевклидова геометрия

In book

The Foundations of Geometry: Works on Non-Euclidean Geometry
The Foundations of Geometry: Works on Non-Euclidean Geometry
Lobachevsky N. Montreal: Minkowski Institute Press, 2019.
Similar publications
The Foundations of Geometry: Works on Non-Euclidean Geometry
Lobachevsky N., Montreal: Minkowski Institute Press, 2019.
Neither general relativity (which revealed that gravity is merely manifestation of the non-Euclidean geometry of spacetime) nor modern cosmology would have been possible without the almost simultaneous and independent discovery of non-Euclidean geometry in the 19th century by three great mathematicians - Nikolai Ivanovich Lobachevsky, János Bolyai and Carl Friedrich Gauss (whose ideas were later ...
Added: October 30, 2019
Proceedings of the IX International Conference "Methods of non-euclidean geometry in physics and mathematics" Bolyai–Gauss–Lobachevsky-9 (BGL-9)
Мн.: Институт физики им. Б.И. Степанова НАН Беларуси, 2016.
Proceedings of the IX International Conference "Methods of non-euclidean geometry in physics and mathematics" Bolyai–Gauss–Lobachevsky-9 (BGL-9) ...
Added: April 18, 2016
Lobachevsky Universitas/ Вселенная Лобачевского
Голубин Р. В., Емельянова Е. Н., Ильина И. С. et al., Н. Новгород: Издательство Нижегородского государственного университета им. Н.И. Лобачевского, 2015.
The publication is dedicated to Nikolai Ivanovich Lobachevsky (1792-1856) — a great Russian mathematician, creator of non-Euclidean geometry, a native of Nizhny Novgorod. The basis of the illustrated album is provided by copies of archival materials relating to the biographies of N.I. Lobachevsky and his contemporaries. The publication is timed to celebrate the centennial (2016) ...
Added: March 13, 2016
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