Nikolai I Lobachevsky Pangeometry
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Pangeometry
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Author : Nikolaĭ Ivanovich Lobachevskiĭ
language : en
Publisher: European Mathematical Society
Release Date : 2010
Pangeometry written by Nikolaĭ Ivanovich Lobachevskiĭ and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Geometry, Non-Euclidean categories.
Lobachevsky wrote Pangeometry in 1855, the year before his death. This memoir is a resume of his work on non-Euclidean geometry and its applications and can be considered his clearest account on the subject. It is also the conclusion of his life's work 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 sourcebook, and as a repository of inspiration. The present edition provides the first complete English translation of Pangeometry available 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.
Nikolai I Lobachevsky Pangeometry
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Author : Athanase Papadopoulos
language : en
Publisher:
Release Date :
Nikolai I Lobachevsky Pangeometry written by Athanase Papadopoulos and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Geometry, Non-Euclidean categories.
The Foundations Of Geometry Works On Non Euclidean Geometry
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Author : Nikolai I. Lobachevsky
language : en
Publisher:
Release Date : 2019-10-02
The Foundations Of Geometry Works On Non Euclidean Geometry written by Nikolai I. Lobachevsky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-02 with Mathematics categories.
Neither general relativity (which revealed that gravity is merely manifestation of the non-Euclidean geometry of spacetime) nor modern cosmology would have been possible without the almost simultaneous and independent discovery of non-Euclidean geometry in the 19th century by three great mathematicians - Nikolai Ivanovich Lobachevsky, János Bolyai and Carl Friedrich Gauss (whose ideas were later further developed by Georg Friedrich Bernhard Riemann).This volume contains three works by Lobachevsky on the foundations of geometry and non-Euclidean geometry: "Geometry", "Geometrical investigations on the theory of parallel lines" and "Pangeometry". It will be of interest not only to experts and students in mathematics, physics, history and philosophy of science, but also to anyone who is not intimidated by the magnitude of one of the greatest discoveries of our civilization and would attempt to follow (and learn from) Lobachevsky's line of thought, helpfully illustrated by over 130 figures, that led him to the discovery.
Geometrical Researches On The Theory Of Parallels
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Author : Nicholas Lobachevsky
language : en
Publisher: Cosimo, Inc.
Release Date : 2007-05-01
Geometrical Researches On The Theory Of Parallels written by Nicholas Lobachevsky and has been published by Cosimo, Inc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-01 with Literary Collections categories.
"Lobachevsky believed that another form of geometry existed, a non-Euclidean geometry, and this 1840 treatise is his argument on its behalf. Line by line in this classic work he carefully presents a new and revolutionary theory of parallels, one that allows for all of Euclids axioms, except for the last. This 1891 translation includes a bibliography and translator George B. Halsteds essay on elliptic geometry. Russian mathematician NICHOLAS LOBACHEVSKY (17921856) is best remembered as the founder (along with Janos Bolyai) of non-Euclidean geometry. He is also the author of New Foundations of Geometry (18351838) and Pangeometry (1855)."
Saccheri Lobachevsky Bolyai
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Author : Girolamo Saccheri
language : en
Publisher:
Release Date : 1929
Saccheri Lobachevsky Bolyai written by Girolamo Saccheri and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1929 with Geometry, Non-Euclidean categories.
Pangeometrie
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Author : Nj Lobatschefskij
language : de
Publisher: Legare Street Press
Release Date : 2022-10-27
Pangeometrie written by Nj Lobatschefskij and has been published by Legare Street Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-27 with categories.
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Nikolai Lobachevsky
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Author : Rajesh Thakur
language : en
Publisher: Prabhat Prakashan
Release Date : 2021-01-19
Nikolai Lobachevsky written by Rajesh Thakur and has been published by Prabhat Prakashan this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-19 with Biography & Autobiography categories.
Pangeometrie
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Author : Nikolai Ivanovich Lobachevskii
language : en
Publisher:
Release Date : 1912*
Pangeometrie written by Nikolai Ivanovich Lobachevskii and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1912* with categories.
The Mathematical Writings Of Variste Galois
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Author : Évariste Galois
language : en
Publisher: European Mathematical Society
Release Date : 2011
The Mathematical Writings Of Variste Galois written by Évariste Galois and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Galois theory categories.
Before he died at the age of twenty, shot in a mysterious early-morning duel at the end of May 1832, Evariste Galois created mathematics that changed the direction of algebra. This book contains English translations of almost all the Galois material. The translations are presented alongside a new transcription of the original French and are enhanced by three levels of commentary. An introduction explains the context of Galois' work, the various publications in which it appears, and the vagaries of his manuscripts. Then there is a chapter in which the five mathematical articles published in his lifetime are reprinted. After that come the testamentary letter and the first memoir (in which Galois expounded on the ideas that led to Galois Theory), which are the most famous of the manuscripts. These are followed by the second memoir and other lesser known manuscripts. This book makes available to a wide mathematical and historical readership some of the most exciting mathematics of the first half of the nineteenth century, presented in its original form. The primary aim is to establish a text of what Galois wrote. The details of what he did, the proper evidence of his genius, deserve to be well understood and appreciated by mathematicians as well as historians of mathematics.
Pangeometrie Classic Reprint
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Author : N J Lobatschefskij
language : de
Publisher: Forgotten Books
Release Date : 2018-08-04
Pangeometrie Classic Reprint written by N J Lobatschefskij and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-04 with categories.
Excerpt from Pangeometrie Winkel mit weil er von der Länge des Lotes abhangt. 111 der gewöhnlichen Geometrie hat man immer H p) gleich einem rechten Winkel für jede Länge von p. In der Pan geometrie durchläuft der Winkel Ü 19) alle Werthe von Null an, welcher Werth 00 entspricht, bis zu H p) gleich einem rechten Winkel' fur 13 z 0 (geometrische Untersuehungen Um der Function H(p) einen allgemeineren analy tischen Werth zu geben, nehme ich an' dass der Werth dieser Function fur negatives p, ein Fall auf den sich die ursprung liche Erklärung nicht ausdehnen lässt, festgesetzt ist durch die folgende Gleichung. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.