Non-Euclidean Geometry
(eBook)

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Published
Dover Publications, 2012.
Status
Available Online

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Format
eBook
Language
English
ISBN
9780486155036

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Citations

APA Citation, 7th Edition (style guide)

Roberto Bonola., & Roberto Bonola|AUTHOR. (2012). Non-Euclidean Geometry . Dover Publications.

Chicago / Turabian - Author Date Citation, 17th Edition (style guide)

Roberto Bonola and Roberto Bonola|AUTHOR. 2012. Non-Euclidean Geometry. Dover Publications.

Chicago / Turabian - Humanities (Notes and Bibliography) Citation, 17th Edition (style guide)

Roberto Bonola and Roberto Bonola|AUTHOR. Non-Euclidean Geometry Dover Publications, 2012.

MLA Citation, 9th Edition (style guide)

Roberto Bonola, and Roberto Bonola|AUTHOR. Non-Euclidean Geometry Dover Publications, 2012.

Note! Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy. Citation formats are based on standards as of August 2021.

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Grouped Work IDd647d154-7961-5d87-8916-c07ebe9b3a11-eng
Full titlenon euclidean geometry
Authorbonola roberto
Grouping Categorybook
Last Update2022-10-18 21:40:45PM
Last Indexed2024-03-27 03:18:16AM

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    [synopsis] => 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, such as Saccheri, Lambert, Legendre, W. Bolyai, Gauss, Schweikart, Taurinus, J. Bolyai and Lobachevski. In a discussion of later developments, the author treats the work of Riemann, Helmholtz and Lie; the impossibility of proving Euclid's postulate, and similar topics. The complete text of two of the founding monographs is appended to Bonola's study: "The Science of Absolute Space" by John Bolyai and "Geometrical Researches on the Theory of Parallels" by Nicholas Lobachevski.
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