Inhaltsangabe
A concise exploration of cubic surfaces through classical and projective geometry. This edition presents the general equation of a cubic surface, its tangent planes, and the different kinds of singularities. It also surveys how projective pencils and twisted cubics reveal the surface’s structure, including how many straight lines the surface can contain and how these lines interact with nodes.
The discussion builds from foundational equations to geometric models, connecting algebraic forms to visible shapes. Readers will glimpse methods for constructing and analyzing cubic surfaces, including the role of conic and binode configurations and the behavior of surfaces when lines become imaginary. The text weaves historical references with practical constructions, offering a cohesive view of the subject.
- Understand the general equation of a cubic surface and what triple tangent planes reveal.
- Learn how nodes, binodes, and conic nodes describe the surface’s singularities.
- See how projective pencils and twisted cubics relate to the surface’s lines and sections.
- Explore model-building ideas that link algebra to geometric intuition.
Ideal for readers of advanced geometry, historical treatments of cubic surfaces, and anyone seeking a rigorous, but accessible, pathway into this classical topic.
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On Models of Cubic Surfaces (Classic Reprint)
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Paperback. Zustand: New. Print on Demand. This book is a fascinating study of cubic surfaces, a complex geometrical form with a rich history in mathematics. The author provides a comprehensive exploration of the properties of these surfaces, offering a thorough examination of their equations, singularities, and the intricate web of straight lines that lie upon them. The book takes readers on a journey through the development of cubic surfaces, from their early discovery to the present day, showcasing the profound insights and innovative thinking that have shaped our understanding of these captivating mathematical objects. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9781332337040_0
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On Models of Cubic Surfaces Classic Reprint
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781332337040
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On Models of Cubic Surfaces Classic Reprint
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781332337040
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