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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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