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The Dialectic Relation Between Physics and Mathematics in the XIXth CenturyThe Construction of Group Theory in Crystallography

The Dialectic Relation Between Physics and Mathematics in the XIXth Century: The Construction of... [This article sets out to retrace the manner in which Group Theory evolved in crystallography. To engage in this study it is necessary to select, amongst all the approaches to crystals, those which, from the point of view of modern science, mark a step towards the establishment of our current understanding. In this way it favours our current perspective. To compensate this distortion, we recall the context in which each explanation that marks history appears. It so becomes clear that notions of triperiodic assemblages and the crystallographic laws of crystal systems and symmetrical classes do not derive from “natural” observations but were compiled and belong to precise theories.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

The Dialectic Relation Between Physics and Mathematics in the XIXth CenturyThe Construction of Group Theory in Crystallography

Part of the History of Mechanism and Machine Science Book Series (volume 16)
Editors: Barbin, Evelyne; Pisano, Raffaele
Maitte, Bernard
The Dialectic Relation Between Physics and Mathematics in the XIXth Century — Sep 4, 2012
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30 pages

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References (8)

Publisher
Springer Netherlands
Copyright
© Springer Science+Business Media Dordrecht 2013
ISBN
978-94-007-5379-2
Pages
1 –30
DOI
10.1007/978-94-007-5380-8_1
Publisher site
See Chapter on Publisher Site

Abstract

[This article sets out to retrace the manner in which Group Theory evolved in crystallography. To engage in this study it is necessary to select, amongst all the approaches to crystals, those which, from the point of view of modern science, mark a step towards the establishment of our current understanding. In this way it favours our current perspective. To compensate this distortion, we recall the context in which each explanation that marks history appears. It so becomes clear that notions of triperiodic assemblages and the crystallographic laws of crystal systems and symmetrical classes do not derive from “natural” observations but were compiled and belong to precise theories.]

Published: Sep 4, 2012

Keywords: Repulsive Force; Stereographic Projection; Primitive Form; Hexagonal Prism; External Form

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