A vector-based look at projective geometry that keeps operations simple and coordinate-free.
This book presents an algebra of vectors that represents projective geometry without relying on the usual axioms of congruence and parallels. It shows how projective collineations can be built from a distributive vector operation followed by a straightforward translation, making complex ideas easier to handle.
- Learn how line joins and plane equations arise directly from vector sums, without resorting to artificial coordinates.
- See the role of the T-plane and how projective concepts connect to familiar vector algebra.
- Explore involutoric and cyclic collineations and what they reveal about space and perspective.
- Discover practical ways these ideas illuminate problems in projective geometry through a clean, algebraic approach.
Ideal for readers of introductory projective geometry or anyone curious about a coordinate-free, vector-based treatment of the subject.
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Da: Forgotten Books, London, Regno Unito
Paperback. Condizione: New. Print on Demand. This book explores the fundamentals of projective vector algebra, focusing on the concepts of equality, addition, and subtraction of vectors. The author presents a simplified and elegant approach, accessible to beginners in geometry and physicists. Projective vector algebra builds upon the axioms of connection and order, establishing a system of metrical, Euclidean, and non-Euclidean geometry. The author's clear explanations and illustrative examples help readers grasp the subject's underlying principles. This book not only provides a solid foundation in projective vector algebra but also demonstrates its applicability in solving problems in various fields, highlighting its significance as a powerful tool for understanding and manipulating geometric concepts. 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. Codice articolo 9781330181966_0
Quantità: Più di 20 disponibili
Da: PBShop.store UK, Fairford, GLOS, Regno Unito
PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo LW-9781330181966
Quantità: 15 disponibili