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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.
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.
This popular book on special relativity was first published in Moscow back in 1961 under the Russian title ' ? , ', which can be roughly translated as 'Is it evident? No, it's unexplored yet!'This clear exposition of the history of the development of physical ideas which eventually led to the discovery of special relativity is a narration of how physicists, from Galileo, Newton to Lorentz, Poincare and Einstein were distracted in their reflections by numerous fallacies (like aether, dragged or not). Then by experiment, it was finally understood that the laws of cinematics and dynamics of the objects moving at high speed can only be formulated with physical definions for what is distance, time or force. After that and from the two basic Einstein postulates - the principle of relativity and the constancy of the speed of light - everything else followed.As the emphasis is on being exact from the scientific viewpoint, it is also accessible to any person with a high school background. The last chapter 'Photon dreams' is addressed to science fiction fans. However, the author proves to the disappointed reader that the laws of physics that we know do not allow the construction of spaceships that could reach even the nearest stars during the life span of the team.
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