Non-Euclidean Geometry: A Critical and Historical Study of its Development
Language: English
Published by Dover Publications, 2010
- Softcover
- Used
Seller: Wonder Book, Frederick, MD, U.S.A.Wonder Book
AbeBooks seller since November 1, 1997
Condition: Used - Good
US$ 10.35
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Add to basketItem description from seller
Good condition. A copy that has been read but remains intact. May contain markings such as bookplates, stamps, limited notes and highlighting, or a few light stains.
Seller Inventory # P08S-00960
- Title
- Non-Euclidean Geometry: A Critical and Historical Study of its Development
- Author
- Roberto Bonola, Nicholas Lobachevski, John Boylai
- Publisher
- Dover Publications
- Publication year
- 2010
- Condition
- Good
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 0486600270
- ISBN 13
- 9780486600277
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.
"Synopsis" may belong to another edition of this title.
Wonder Book
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Wonder Book
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