Pangeometry / Nikolai I. Lobachevsky

Auteur: Lobatchevski, Nikolai Ivanovitch (1792-1856) - AuteurAuteur secondaire : Papadopoulos, Athanase (1957-) - Editeur scientifiqueType de document: Monographie Collection: Heritage of european mathematics Langue: anglaisPays: SwisseÉditeur: Zürich : European Mathematical Society, cop. 2010Description: 1 vol. (XII-310 p.) : ill., graph., portr. ; 24 cm ISBN: 9783037190876 ; rel. Note: 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)Bibliographie: Bibliogr. p. 299-310. Sujets MSC: 51M10 Geometry -- Real and complex geometry -- Hyperbolic and elliptic geometries (general) and generalizations
51-03 Geometry -- Historical
01A75 History and biography -- History of mathematics and mathematicians -- Collected or selected works; reprintings or translations of classics
01A55 History and biography -- History of mathematics and mathematicians -- 19th century
En-ligne: Zentralblatt | MathSciNet
Location Call Number Status Date Due
Salle R 12363-01 / 51 LOB (Browse Shelf) Available

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

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