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Artículo: AMZ-B0G66QVXDX
Projective Geometry (Classic Reprint)
Format:
Kindle
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En stock
En stock
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0.84 kg
0.84 kg
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No
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Nuevo
Nuevo
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Amazon
Amazon
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USA
USA
Sobre este producto
- Explore how shapes transform under projective rules, from poles and polars to circle-based inversions. This book offers a clear, structured look at the core ideas of projective geometry, including how two polarities in a plane generate quadric transformations and what makes an inversion with respect to a circle fundamental. It presents the connections between perspective, polarity, and conic sections with careful explanations and visual guidance. In this edition, you’ll see the subject unfold from the basics of polarity to the mechanics of circular transformations. The text explains how a polarity with respect to a conic or a fixed circle leads to perspective quadric transformations, how inversions relate points, lines, and circles, and how birational and involutoric properties shape these mappings. Along the way, it connects concepts such as fundamental points, fundamental lines, and the way conics arise as loci in these transformations. - Learn how a line not through a fundamental point corresponds to a conic passing through all fundamental points - See how positive and negative inversions differ and why inversions are conform transformations - Understand circular transformations as compositions of a similitude and an inversion - Grasp the role of fundamental elements in two-polarity and perspective quadric transformations Ideal for readers of advanced geometry, this work builds a framework you can apply to broader problems in geometry and mathematical physics.
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$28,36
44% OFF
$15,75
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