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Field name	Details
Title	Nikolai I. Lobachevsky, Pangeometry ([EBook] /) / Athanase Papadopoulos
Author	Papadopoulos, Athanase
Publication	Zuerich, Switzerland : : European Mathematical Society Publishing House, , 2010
Physical Details	1 online resource (322 pages)
Series	Heritage of European Mathematics (HEM) 2523-5214
ISBN	9783037195871
Summary Note	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, 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.:
Mode of acces to digital resource	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.4171/087
See Also	https://www.ems-ph.org/img/books/lobachevsky_mini.jpg
Links to Related Works	Subject References: Differential Geometry . Geometry . History and biography . History of mathematics . Authors: author . Papadopoulos, Athanase . Series: Heritage of European Mathematics (HEM) .

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Nikolai I. Lobachevsky, Pangeometry

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