Pangeometry / Nikolai I. Lobachevsky ; edited and translated by Athanase Papadopoulos

This is the first integral English translation of Lobachevsky’s Pangeometry of 1855. The translation of this classic, which is printed together with its Russian and French original and translated from the latter, is not only for the use of historians of mathematics, but for offering present-day students of hyperbolic geometry a “fresh point of view on the subject, namely, a model-free point of view which is not to be found in most of the more modern textbooks on hyperbolic geometry”. The translation is made significantly more readable than its French original first and foremost by adding figures (the original had none), as well as by shortening long sentences and adding an index.

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... (Zentralblatt)

Bibliogr. p. 299-310