000			02863nam a22004095a 4500
001			123-101201
003			CH-001817-3
005			20170613140757.0
006			a fot ||| 0|
007			cr nn mmmmamaa
008			101201e20101201sz fot ||| 0|eng d
020			_a9783037195871
024	7	0	_a10.4171/087 _2doi
040			_ach0018173
072		7	_aPBX _2bicssc
084			_a01-xx _a51-xx _a53-xx _2msc
100	1		_aPapadopoulos, Athanase, _eauthor.
245	1	0	_aNikolai I. Lobachevsky, Pangeometry _h[electronic resource] / _cAthanase Papadopoulos
260	3		_aZuerich, Switzerland : _bEuropean Mathematical Society Publishing House, _c2010
264		1	_aZuerich, Switzerland : _bEuropean Mathematical Society Publishing House, _c2010
300			_a1 online resource (322 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	0		_aHeritage of European Mathematics (HEM)
506	1		_aRestricted to subscribers: _uhttp://www.ems-ph.org/ebooks.php
520			_aLobachevsky 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, Lobachevsky’s 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.
650	0	7	_aHistory of mathematics _2bicssc
650	0	7	_aHistory and biography _2msc
650	0	7	_aGeometry _2msc
650	0	7	_aDifferential geometry _2msc
700	1		_aPapadopoulos, Athanase, _eauthor.
856	4	0	_uhttps://doi.org/10.4171/087
856	4	2	_3cover image _uhttp://www.ems-ph.org/img/books/lobachevsky_mini.jpg
942			_2EBK13800 _cEBK
999			_c50424 _d50424