Part of the Springer Undergraduate Mathematics Series book series (SUMS)


The new mathematical world of a geometry other than Euclid’s, was the independent discovery of Nicolai Ivanovich Lobachevskii, born in Kasan in Russia in 1792 and his Hungarian contemporary, János Bolyai (1802–1860). Although little understood in their lifetimes, their work eventually helped to overturn almost every belief about the mathematics of space, and to open the way to the modern geometries of Hilbert and Einstein. After his death, Lobachevskii became known as the Copernicus of geometry. On the occasion of his centennial he was taken up by Malevich and the Russian futurists, and if his bicentennial was a quieter affair it was nonetheless worth noting.1


Euclidean Geometry Good Mathematician Mathematical World Modern Geometry Trigonometric Formula 
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© Springer-Verlag London Limited 2007

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