Pangeometry
by Lobachevskiĭ, N. I., (Nikolaĭ Ivanovich)
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 exampl…
Read More ↓Title Statements
- Full title :Pangeometry / Nikolai I. Lobachevsky ; edited and translated by Athanase Papdopoulos.
Summary
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.
Read More ↓Edition Statements
- Publication Date:©2010
Publication Statements
- Publisher(s):European Mathematical Society
- Place of Publication:Zürich, Switzerland
- Language:eng
- Publication Date:©2010
The Physical Object
- Description:1 online resource (xii, 310 pages) : : illustrations (some color).
Edition Identifiers
- ISBN:9783037195871, 3037195878
- DOI:10.4171/087
- oclc:ocn696305801
- LC Classification:QA685
- Dewey Decimal:516.9
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