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Topology
Beginning of paper
Topological ideas are present in almost all areas of today's mathematics. The subject of itself consists of several different branches, such as point set , algebraic and differential , which have relatively little in common. We shall trace the rise of topological concepts in a number of different situations. Perhaps the first work whi .... Middle of paper
.... by Archimedes and Descartes although both wrote extensively on polyhedra. The reason must be that to everyone before Euler, it had been impossible to think of geometrical properties without measurement being involved.
Johann Benedict Listing (1802-1882) was the first to use the word . Listing's topological ideas were due mainly to Gauss, although Gauss himself chose not to publish any work on . Listing wrote a paper in 1847 called Vorstudien z ....
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Number of words: 557
Number of pages: 3 (approx. 250 words per double-spaced page)
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