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Non-Euclidean Geometry
by Roberto Bonola and H. S. Carslaw


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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.  Read more...


 
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More About Non-Euclidean Geometry by Roberto Bonola; H. S. Carslaw
 
 
 
Overview

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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Details
  • ISBN-13: 9780486600277
  • ISBN-10: 0486600270
  • Publisher: Dover Publications
  • Publish Date: June 1955
  • Page Count: 448

Series: Dover Books on Mathematics

Related Categories

Books > Mathematics > Arithmetic

 
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