Non-Euclidean geometry : a critical and historical study of its developments
Language: English
Published by New York : Dover Publications ; London : Constable, 1970
- First Edition
- Softcover
- Used
Condition: Used
US$ 12.65
Quantity: 1 available
Add to basketItem description from seller
Very good paperback copy; wrappers slightly edgeworn and dust-dulled. Edges show a suggestion only of foxing. Remains well-preserved overall, with main text strong and clean. Physical description; xii, 268, [151] pages : illustrations ; 21 cm. Notes; Originally published as "La Geometrica non-Euclidea", Open Court Publishing Company, 1912. First Dover edition 1955. Contents; With a supplement containing the Dr. George Bruce Halsted translations of "The Science of Absolute Space" by John Bolyai and, "The Theory of Parallels" by Nicholas Lobachevski. Subjects; Geometry, non-Euclidean. Geometry, history. Mathematics, history. Space and time, mathematics. 1 Kg.
Seller Inventory # 492000
- Title
- Non-Euclidean geometry : a critical and historical study of its developments
- Author
- Roberto Bonola, John Bolyai, Nicholas Lobachevski
- Publisher
- New York : Dover Publications ; London : Constable
- Publication year
- 1970
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 0486600270
- ISBN 13
- 9780486600277
- Edition
- First Dover Edition.
- Item weight
- 1 kilogram
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.
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