Non-Euclidean Geometry
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Numar articol:187844199
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Preț:88,00 Lei
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Anuntul a expirat la:22.12.2020, 15:07
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Specificatii
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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