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Felix Klein - Visions for Mathematics, Applications, and Education (Paperback, 1st ed. 2021)
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Felix Klein - Visions for Mathematics, Applications, and Education (Paperback, 1st ed. 2021)
Series: Vita Mathematica, 20
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About Felix Klein, the famous Greek mathematician Constantin
Caratheodory once said: "It is only by illuminating him from all
angles that one can come to understand his significance." The
author of this biography has done just this. A detailed study of
original sources has made it possible to uncover new connections;
to create a more precise representation of this important
mathematician, scientific organizer, and educational reformer; and
to identify misconceptions. Because of his edition of Julius
Plucker's work on line geometry and due to his own contributions to
non-Euclidean geometry, Klein was already well known abroad before
he received his first full professorship at the age of 23. By
exchanging ideas with his most important cooperation partner, the
Norwegian Sophus Lie, Klein formulated his Erlangen Program.
Various other visionary programs followed, in which Klein involved
mathematicians from Germany and abroad. Klein was the most active
promoter of Riemann's geometric-physical approach to function
theory, but he also integrated the analytical approaches of the
Weierstrass school into his arsenal of methods. Klein was a citizen
of the world who repeatedly travelled to France, Great Britain,
Italy, the United States, and elsewhere. Despite what has often
been claimed, it must be emphasized that Klein expressly opposed
national chauvinism. He promoted mathematically gifted individuals
regardless of their nationality, religion, or gender. Many of his
works have been translated into English, French, Italian, Russian,
and other languages; more than 300 supporters from around the world
made it possible for his portrait to be painted by the prominent
impressionist Max Liebermann. Inspired by international
developments, Klein paved the way for women to work in the field of
mathematics. He was instrumental in reforming mathematical
education, and he endorsed an understanding of mathematics that
affirmed its cultural importance as well as its fundamental
significance to scientific and technological progress.
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