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Non-Euclidean geometry: a critical and historical study of its development

Examines various attempts to prove Euclid's parallel postulate — by the Greeks, Arabs and Renaissance mathematicians. Ranging through the 17th, 18th, and 19th centuries, it considers forerunners and founders such as Saccheri, Lambert, Legendre, W. Bolyai, Gauss, Schweikart, Taurinus, J. Bolyai...

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Detalles Bibliográficos
Autores principales: Bonola, Roberto, Bolyai, John, Lobachevski, Nicholas
Lenguaje:eng
Publicado: Dover Publ. 1955
Materias:
Acceso en línea:http://cds.cern.ch/record/1551246
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author Bonola, Roberto
Bolyai, John
Lobachevski, Nicholas
author_facet Bonola, Roberto
Bolyai, John
Lobachevski, Nicholas
author_sort Bonola, Roberto
collection CERN
description Examines various attempts to prove Euclid's parallel postulate — by the Greeks, Arabs and Renaissance mathematicians. Ranging through the 17th, 18th, and 19th centuries, it considers forerunners and founders such as Saccheri, Lambert, Legendre, W. Bolyai, Gauss, Schweikart, Taurinus, J. Bolyai and Lobachewsky. Includes 181 diagrams.
id cern-1551246
institution Organización Europea para la Investigación Nuclear
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publishDate 1955
publisher Dover Publ.
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spelling cern-15512462021-04-21T22:40:53Zhttp://cds.cern.ch/record/1551246engBonola, RobertoBolyai, JohnLobachevski, NicholasNon-Euclidean geometry: a critical and historical study of its developmentMathematical Physics and MathematicsExamines various attempts to prove Euclid's parallel postulate — by the Greeks, Arabs and Renaissance mathematicians. Ranging through the 17th, 18th, and 19th centuries, it considers forerunners and founders such as Saccheri, Lambert, Legendre, W. Bolyai, Gauss, Schweikart, Taurinus, J. Bolyai and Lobachewsky. Includes 181 diagrams.This is an excellent historical and mathematical view by a renowned Italian geometer of the geometries that have risen from a rejection of Euclid's parallel postulate. Students, teachers and mathematicians will find here a ready reference source and guide to a field that has now become overwhelmingly important.Non-Euclidean Geometry first examines the various attempts to prove Euclid's parallel postulate-by the Greeks, Arabs, and mathematicians of the Renaissance. Then, ranging through the 17th, 18th and 19th centuries, it considers the forerunners and founders of non-Euclidean geometry, suchDover Publ.oai:cds.cern.ch:15512461955
spellingShingle Mathematical Physics and Mathematics
Bonola, Roberto
Bolyai, John
Lobachevski, Nicholas
Non-Euclidean geometry: a critical and historical study of its development
title Non-Euclidean geometry: a critical and historical study of its development
title_full Non-Euclidean geometry: a critical and historical study of its development
title_fullStr Non-Euclidean geometry: a critical and historical study of its development
title_full_unstemmed Non-Euclidean geometry: a critical and historical study of its development
title_short Non-Euclidean geometry: a critical and historical study of its development
title_sort non-euclidean geometry: a critical and historical study of its development
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/1551246
work_keys_str_mv AT bonolaroberto noneuclideangeometryacriticalandhistoricalstudyofitsdevelopment
AT bolyaijohn noneuclideangeometryacriticalandhistoricalstudyofitsdevelopment
AT lobachevskinicholas noneuclideangeometryacriticalandhistoricalstudyofitsdevelopment