In The Search For Beauty: Unravelling Non-euclidean Geometry

Voldemar Smilga (Autor)

Buch | Hardcover

248 Seiten

2019
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-327-435-8 (ISBN)

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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.

Erscheinungsdatum	15.12.2018
Verlagsort	Singapore
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Geschichte der Mathematik
ISBN-10	981-327-435-2 / 9813274352
ISBN-13	978-981-327-435-8 / 9789813274358
Zustand	Neuware