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作者 Papadopoulos, Athanase, author
書名 Nikolai I. Lobachevsky, Pangeometry [electronic resource] / Athanase Papadopoulos
出版項 Zuerich, Switzerland : European Mathematical Society Publishing House, 2010
國際標準書號 9783037195871
國際標準號碼 10.4171/087 doi
book jacket
說明 1 online resource (322 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
系列 Heritage of European Mathematics (HEM)
附註 Restricted to subscribers: http://www.ems-ph.org/ebooks.php
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
主題 History of mathematics bicssc
History and biography msc
Geometry msc
Differential geometry msc
Alt Author Papadopoulos, Athanase, author
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