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Nikolai I. Lobachevsky, Pangeometry -

Nikolai I. Lobachevsky, Pangeometry

Athanase Papadopoulos (Herausgeber)

Buch
XII, 310 Seiten
2010 | 1., Aufl.
EMS Press (Verlag)
978-3-03719-087-6 (ISBN)
CHF 109,95 inkl. MwSt
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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.
Erscheint lt. Verlag 1.12.2010
Reihe/Serie Heritage of European Mathematics
Sprache englisch; französisch; russisch
Maße 170 x 240 mm
Gewicht 782 g
Einbandart gebunden
Themenwelt Mathematik / Informatik Mathematik Geometrie / Topologie
Mathematik / Informatik Mathematik Geschichte der Mathematik
Schlagworte Hyperbolic Geometry • Lobachevsky geometry • Lobachevsky geometry, hyperbolic geometry, non-Euclidean geometry, pangeometry • Mathematik • Non-Euclidean geometry
ISBN-10 3-03719-087-6 / 3037190876
ISBN-13 978-3-03719-087-6 / 9783037190876
Zustand Neuware
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