By Athanase Papadopoulos
Lobachevsky wrote Pangeometry in 1855, the yr prior to his loss of life. This memoir is a résumé of his paintings on non-Euclidean geometry and its functions and will be thought of his clearest account at the topic. it's also the realization of his life's paintings and the final test he made to procure popularity. The treatise comprises easy rules of hyperbolic geometry, together with the trigonometric formulae, the options of computation of arc size, of sector and of quantity, with concrete examples. It additionally offers with the purposes of hyperbolic geometry to the computation of latest sure integrals. The strategies are various from these present in latest books on hyperbolic geometry due to the fact they don't use versions. along with its old value, Lobachevsky's Pangeometry is a gorgeous paintings, written in an easy and condensed variety. the fabric that it includes continues to be very alive, and interpreting this publication could be most dear for researchers and for college kids in geometry and within the background of technology. it may be used as a textbook, as a sourcebook, and as a repository of concept. the current version offers the 1st entire English translation of Pangeometry to be had in print. It comprises facsimiles of either the Russian and the French unique types. the interpretation is followed by means of notes, by means of a biography of Lobachevky and an intensive observation. A ebook of the ecu Mathematical Society (EMS). disbursed in the Americas by means of the yankee Mathematical Society.
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