Origin and generation of curves

Egbert Brieskorn and Horst Knörrer
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Egbert Brieskorn: Universität Bonn, Mathematisches Institut
Horst Knörrer: Universität Bonn, Mathematisches Institut

Chapter 1 in Plane Algebraic Curves, 1986, pp 2-65 from Springer

Abstract: Abstract First I should like to tell you something of the reasons why the first interesting curves were already considered in antiquity. We shall then see how these were taken up again in the Renaissance, after which there was a permanent enrichment of the theory by new content and methods. We shall see that there were many causes for the origin and generation of algebraic curves: the development of historically important mathematical problems, playful mathematical constructions and the joy of solving problems, but also, and very important in this field, numerous applications of mathematics in other fields: perspective, optics, astronomy, architecture, kinematics, mechanics and technology.

Keywords: Double Point; Algebraic Curf; Galois Theory; Conic Section; Parallel Curve (search for similar items in EconPapers)
Date: 1986
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-5097-1_1

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DOI: 10.1007/978-3-0348-5097-1_1

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