Chasles and the Projective Geometry
The Birth of a Global Foundational Programme for Mathematics, Mechanics and Philosophy
- Publisher's listprice EUR 181.89
- Prospero’s price EUR 127.49
-
49 797 Ft (47 426 Ft + 5% VAT)
The price is estimated because at the time of ordering we do not know what conversion rates will apply to HUF / product currency when the book arrives. In case HUF is weaker, the price increases slightly, in case HUF is stronger, the price goes lower slightly.
- Discount 20% (cc. 9 959 Ft off)
- Discounted price 39 838 Ft (37 941 Ft + 5% VAT)
- Discount is valid until: 30 June 2026
Subcribe now and take benefit of a favourable price.
Subscribe
43 822 Ft
Availability
printed on demand
Why don't you give exact delivery time?
Delivery time is estimated on our previous experiences. We give estimations only, because we order from outside Hungary, and the delivery time mainly depends on how quickly the publisher supplies the book. Faster or slower deliveries both happen, but we do our best to supply as quickly as possible.
Product details:
- Edition number 2024
- Publisher Springer Nature Switzerland
- Date of Publication 18 July 2024
- Number of Volumes 1 pieces, Book
- ISBN 9783031542657
- Binding Hardback
- No. of pages572 pages
- Size 235x155 mm
- Language English
- Illustrations XIII, 572 p. 104 illus., 41 illus. in color. Illustrations, black & white 521
Categories
Long description:
"
This monograph meticulously examines the contributions of French mathematician Michel Chasles to 19th-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.
Table of Contents:
Introduction.- Chasles’ foundational programme for geometry.- Displacement of a rigid body.- Chasles and the systems of forces.- The principle of virtual velocities.- Chasles’ philosophy of duality.- Chasles and the ellipsoid attraction.- Conclusion.
More
