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Nikolai I. Lobachevsky, Pangeometry

Papadopoulos, Athanase,

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Nikolai I. Lobachevsky, Pangeometry

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Nikolai I. Lobachevsky, Pangeometry/ Athanase Papadopoulos
作者:	Papadopoulos, Athanase,
出版者:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2010,
面頁冊數:	1 online resource (322 pages)
標題:	History of mathematics -
電子資源:	https://doi.org/10.4171/087
電子資源:	https://www.ems-ph.org/img/books/lobachevsky_mini.jpg
ISBN:	9783037195871

Nikolai I. Lobachevsky, Pangeometry
Papadopoulos, Athanase,

Nikolai I. Lobachevsky, Pangeometry[electronic resource] /Athanase Papadopoulos - Zuerich, Switzerland :European Mathematical Society Publishing House,2010 - 1 online resource (322 pages) - Heritage of European Mathematics (HEM) ;2523-5214.

Restricted to subscribers:https://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.

ISBN: 9783037195871

Standard No.: 10.4171/087doiSubjects--Topical Terms:

3480938
History of mathematics

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