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Non-Euclidean Geometry - eBook

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<p>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.<br /><em>Non-Euclidean Geometry</em> 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: &quot;The Science of Absolute Space&quot; by John Bolyai and &quot;Geometrical Researches on the Theory of Parallels&quot; by Nicholas Lobachevski. &quot;Firmly recommended to any scientific reader with some mathematical inclination&quot; — <em>Journal of the Royal Naval Scientific Service.</em> &quot;Classic on the subject.&quot; — <em>Scientific American.</em></p>

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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. "Firmly recommended to any scientific reader with some mathematical inclination" — Journal of the Royal Naval Scientific Service. "Classic on the subject." — Scientific American.

Non-Euclidean Geometry - eBook

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Read This On
Android,Ereader,Desktop,IOS,Windows
Is Downloadable Content Available
Y
Digital Reader Format
Epub (Yes)
Language
en
Series Title
Dover Books on Mathematics
Publisher
Kobo
Author
Roberto Bonola
ISBN-13
9780486155036
ISBN-10
048615503X

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Electrode, Comp-283025154, DC-prod-dfw7, ENV-prod-a, PROF-PROD, VER-30.0.3, SHA-fe0221a6ef49da0ab2505dfeca6fe7a05293b900, CID-253841ca-ca0-16e71374257613, Generated: Fri, 15 Nov 2019 22:37:57 GMT