In the search for beauty: unravelling non-euclidean geometry, Smilga, Voldemar (-)

Автор: Smilga Voldemar
Название: In the Search for Beauty: Unravelling Non-Euclidean Geometry
ISBN: 9811208301 ISBN-13(EAN): 9789811208300
Издательство: World Scientific Publishing
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Описание:

This is a popular book that chronicles the historical attempts to prove the fifth postulate of Euclid on parallel lines that led eventually to the creation of non-Euclidean geometry. To absorb the mathematical content of the book, the reader should be familiar with the foundations of Euclidean geometry at the high school level. But besides the mathematics, the book is also devoted to stories about the people, brilliant mathematicians starting from Pythagoras and Euclid and terminating with Gauss, Lobachevsky and Klein. For two thousand years, mathematicians tried to prove the fifth postulate (whose formulation seemed to them too complicated to be a real postulate and not a theorem, hence the title In the Search for Beauty). But in the 19th century, they realized that such proof was impossible, and this led to a revolution in mathematics and then in physics. The two final chapters are devoted to Einstein and his general relativity which revealed to us that the geometry of the world we live in is not Euclidean.

Also included is an historical essay on Omar Khayyam, who was not only a poet, but also a brilliant astronomer and mathematician.

Автор: Andr?s Pr?kopa; Emil Moln?r
Название: Non-Euclidean Geometries
ISBN: 146149771X ISBN-13(EAN): 9781461497714
Издательство: Springer
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Цена: 27251.00 р.
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Описание: "From nothing I have created a new different world," wrote Janos Bolyai to his father, Wolgang Bolyai, on November 3, 1823, to let him know his discovery of non-Euclidean geometry, as we call it today.