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Non-Euclidean Geometry
By H. S. Carslaw (editor) and Roberto Bonola
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Bibliographic Detail
Publisher Dover Pubns
Publication date June 1, 1955
Binding Paperback
Book category Adult Non-Fiction
ISBN-13 9780486600277
ISBN-10 0486600270
Dimensions 0.75 by 5.25 by 7.75 in.
Original list price $15.95
Summaries and Reviews
Amazon.com description: Product Description:

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.



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Paperback
Book cover for 9780486600277
 
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from Dover Pubns (June 1, 1955)
9780486600277 | details & prices | 5.25 × 7.75 × 0.75 in. | 0.95 lbs | List price $15.95
About: 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.

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