Nikolai I. Lobachevsky, Pangeometry

Review in MAA Reviews“The great Gauss had as his motto ‘few but ripe’, referring to his mathematical publications. That could be modified to say, ‘it is not the number, it is the quality and significance of the publications that matter.’ That is exceptionally true in the case of Lobachevsky, for his ‘Pangeometry’ changed our very perception of the universe. In many ways you will be surprised at the simplicity of his ideas.” — Charles Ashbacher
Review in zbMATH“This is the first integral English translation of Lobachevsky’s Pangeometry of 1855. [...] The trilingual text of the Pangeometry is followed by a biography of Lobachevsky taken from his collected works, and an enlightening commentary on the Pangeometry – discussing its content, the reception of hyperbolic geometry, models and model-free hyperbolic geometry, a look at all of Lobachevsky’s work in geometry, and a short list of references. The commentaries are meticulous and help both the historically inclined and the geometrically inclined reader, in particular whenever the latter intends to study hyperbolic geometry over the real numbers.” — Victor V. Pambuccian (Phoenix)

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