Nikolai I. Lobachevsky, Pangeometry

• Autore: Papadopoulos
• Pubblicazione: EMS Press, 2010
• Descrizione fisica: 1 online resource (322 pages)
• Soggetto topico: History of mathematics; History and biography; Geometry; Differential geometry
• Classificazione: 01-02; 51-02; 01A55; 51-01; 51-03; 53-02; 53-01; 53-03; 53A35
• Sommario/riassunto: Lobachevsky wrote his _Pangeometry_ in 1855, the year before his death. This memoir is a résumé of his work on non-Euclidean geometry and its applications, and it can be considered as his clearest account on the subject. It is also the conclusion of his lifework, and the last attempt he made to acquire recognition. The treatise contains basic ideas of hyperbolic geometry, including the trigonometric formulae, the techniques of computation of arc length, of area and of volume, with concrete examples. It also deals with the applications of hyperbolic geometry to the computation of new definite integrals. The techniques are different from those found in most modern books on hyperbolic geometry since they do not use models. Besides its historical importance, Lobachevskys _Pangeometry_ is a beautiful work, written in a simple and condensed style. The material that it contains is still very alive, and reading this book will be most useful for researchers and for students in geometry and in the history of science. It can be used as a textbook, as a source book and as a repository of inspiration. The present edition provides the first complete English translation of the _Pangeometry_ that appears in print. It contains facsimiles of both the Russian and the French original versions. The translation is accompanied by notes, followed by a biography of Lobachevky and an extensive commentary.
• Titolo autorizzato: Nikolai I. Lobachevsky, Pangeometry
• ISBN: 3-03719-587-8
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910153614903321
• Lo trovi qui: Univ. Federico II