Non-Euclidean Geometry (Dover Books on Mathematics) - Softcover

Bonola, Roberto

Softcover

ISBN 10: 0486600270 ISBN 13: 9780486600277

Verlag: Dover Publications Inc., 1955

Inhaltsangabe

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.

Details zur Ausgabe

• Verlag: Dover Publications Inc.
• Erscheinungsdatum: 1955
• Sprache: Englisch
• ISBN 10: 0486600270
• ISBN 13: 9780486600277
• Einband: Taschenbuch
• Anzahl der Seiten: 431
• Herausgeber: Carslaw H. S.
• Kontakt zum Hersteller: Dover; info@galileo-mc.de; ; Dachauer Str. 5-7; F�rstenfeldbruck; 82256; Deutschland