O for Orientation

O for Orientation Geometry is an ancient discipline dealing with mathematical shapes and patterns, which the ancient Greeks, especially Plato, called “ideas”. In the nineteenth century, when idealism flourished again, geometry went through a phase of re-foundation that made it a modern system of thought, fundamental to cultural and technological development. Through the drafting of programmes and manifestos, typical of that century, it came out of the narrow Euclidean environment and offered mathematicians greater prospects and different choices to interpret the space around us (or in which we address our problems). In this paper, I present some contemporary geometric research programmes, in mathematics as well as in other disciplines, their state of advancement and their applications. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Lettera Matematica Springer Journals

O for Orientation

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Publisher
Springer Milan
Copyright
Copyright © 2017 by Centro P.RI.ST.EM, Università Commerciale Luigi Bocconi
Subject
Mathematics; Mathematics, general; Theoretical, Mathematical and Computational Physics; Mathematical Methods in Physics; Applications of Mathematics; History of Mathematical Sciences; History of Science
ISSN
2281-6917
eISSN
2281-5937
D.O.I.
10.1007/s40329-017-0178-0
Publisher site
See Article on Publisher Site

Abstract

Geometry is an ancient discipline dealing with mathematical shapes and patterns, which the ancient Greeks, especially Plato, called “ideas”. In the nineteenth century, when idealism flourished again, geometry went through a phase of re-foundation that made it a modern system of thought, fundamental to cultural and technological development. Through the drafting of programmes and manifestos, typical of that century, it came out of the narrow Euclidean environment and offered mathematicians greater prospects and different choices to interpret the space around us (or in which we address our problems). In this paper, I present some contemporary geometric research programmes, in mathematics as well as in other disciplines, their state of advancement and their applications.

Journal

Lettera MatematicaSpringer Journals

Published: Jun 29, 2017

References

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