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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Allg. & Lexika Chasles and the Projective Geometry
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Chasles and the Projective Geometry
Paolo Bussotti (Gebundene Ausgabe, Englisch)
★★★★★
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Beschreibung
This monograph meticulously examines the contributions of French mathematician Michel Chasles to 19
th
-century geometry. Through an in-depth analysis of Chasles' extensive body of work, the author examines six pivotal arguments which collectively reshape the foundations of geometry. Chasles introduces a novel form of polarity, termed "parabolic," to the graphic context, so expressing the metric… properties by means of this specific polarity—a foundational argument. Beyond the celebrated "Chasles theorem," he extends his analysis to the movement of a rigid body, employing concepts derived from projective geometry. This approach is consistently applied across diverse domains. Chasles employs the same methodology to analyze systems of forces. The fourth argument examined by the author concerns the principle of virtual velocities, which can also be addressed through a geometric analysis. In the fifth chapter, Chasles' philosophy of duality is explained. It is grounded on theduality principles of projective geometry. Finally, the author presents Chasles’ synthetic solution for the intricate problem of ellipsoid attraction—the sixth and concluding chapter. Throughout these explorations, Chasles engages in a dynamic scientific dialogue with leading physicists and mathematicians of his era, revealing diverse perspectives and nuances inherent in these discussions.
Tailored for historians specializing in mathematics and geometry, this monograph also beckons philosophers of mathematics and science, offering profound insights into the philosophical, epistemological, and methodological dimensions of Chasles' groundbreaking contributions. Providing a comprehensive understanding of Chasles' distinctive perspective on 19
th
-century geometry, this work stands as a valuable resource for scholars and enthusiasts alike. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
18.07.2024
Sprache
Englisch
EAN
9783031542657
Herausgeber
Springer International Publishing
Sonderedition
Nein
Autor
Paolo Bussotti
Seitenanzahl
572
Auflage
1
Einbandart
Gebundene Ausgabe
Buch Untertitel
The Birth of a Global Foundational Programme for Mathematics, Mechanics and Philosophy
Schlagwörter
Michel Chasles, Projective Geometry, Metric/Graphic Properties, Pure/Analytic Geometry, Movement of a Rigid Body, Systems of Forces, Principle of Virtual Velocities, Philosophy of Duality, Attraction of the Ellipsoid
Thema-Inhalt
PBX - Geschichte der Mathematik
PBM - Geometrie
PBMP - Differentielle und Riemannsche Geometrie
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer Nature Customer Service Center GmbH, ProductSafety@springernature.com
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