Read In the Search for Beauty: Unravelling Non-Euclidean Geometry

In the Search for Beauty: Unravelling Non-Euclidean Geometry

Voldemar Smilga

4.9/5 (25640 ratings)

Description: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.Contents: Before Euclid — Prehistoric Times Euclid The Fifth Postulate The Age of Proofs. The Beginning Omar Khayyam The Age of Proofs (Continued) Non-Euclidean Geometry. The Solution Nikolai Ivanovich Lobachevsky Non-Euclidean Geometry. Some Illustrations New Ideas. Riemann. Non-Contradictoriness An Unexpected Finale. The General Theory of Relativity Einstein Readership: All students, historians and researchers interested in mathematical physics.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with In the Search for Beauty: Unravelling Non-Euclidean Geometry. To get started finding In the Search for Beauty: Unravelling Non-Euclidean Geometry, you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 9813274379

Description: 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.Contents: Before Euclid — Prehistoric Times Euclid The Fifth Postulate The Age of Proofs. The Beginning Omar Khayyam The Age of Proofs (Continued) Non-Euclidean Geometry. The Solution Nikolai Ivanovich Lobachevsky Non-Euclidean Geometry. Some Illustrations New Ideas. Riemann. Non-Contradictoriness An Unexpected Finale. The General Theory of Relativity Einstein Readership: All students, historians and researchers interested in mathematical physics.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with In the Search for Beauty: Unravelling Non-Euclidean Geometry. To get started finding In the Search for Beauty: Unravelling Non-Euclidean Geometry, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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In the Search for Beauty: Unravelling Non-Euclidean Geometry

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