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Non-Euclidean Geometry
by Roberto Bonola and Mathematics and Horatio Scott 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.  Read more...


 
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More About Non-Euclidean Geometry by Roberto Bonola; Mathematics; Horatio Scott 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: November 2010
  • Page Count: 448

Series: Dover Books on Mathematics

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Books > Mathematics > Arithmetic

 
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