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Patterns of change : linguistic innovations in the development of classical mathematics /
The book offers a reconstruction of linguistic innovations in the history of mathematics. It argues that there are at least three ways in which the language of mathematics can be changed. As illustration of changes of the first kind, called re-codings, is the development along the line: synthetic ge...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Basel : [London] :
Birkhäuser ; [Springer, distributor],
©2008.
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| Colección: | Science networks historical studies ;
v. 36. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | The book offers a reconstruction of linguistic innovations in the history of mathematics. It argues that there are at least three ways in which the language of mathematics can be changed. As illustration of changes of the first kind, called re-codings, is the development along the line: synthetic geometry, analytic geometry, fractal geometry, and set theory. In this development the mathematicians changed the very way of constructing geometric figures. As illustration of changes of the second kind, called relativization, is the development of synthetic geometry along the line: Euclida (TM)s geometry, projective geometry, non-Euclidean geometry, Erlanger program up to Hilberta (TM)s Grundlagen der Geometrie. Changes of the third kind, called re-formulations are for instance the changes that can be seen on the different editions of Euclida (TM)s Elements. Perhaps the best known among them is Playfaira (TM)s change of the formulation of the fifth postulate. |
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| Descripción Física: | 1 online resource (xviii, 261 pages) : illustrations |
| Bibliografía: | Includes bibliographical references. |
| ISBN: | 9783764388409 3764388404 128185137X 9781281851376 |