Projective Vector Algebra (Classic Reprint): An Algebra of Vectors Independent of the Axioms of Congruence and of Parallels: An Algebra of Vectors ... Congruence and of Parallels (Classic Reprint) - Softcover
Synopsis
A coordinate-free path to projective geometry
This book presents a coordinate-free vector approach to projective geometry, avoiding congruence and parallel axioms while using vector language to model space, lines, and transformations. Two short paragraphs framing the scope: It shows how projective ideas can be expressed with simple vector operations, keeping the focus on end-points, joins, and translations rather than artificial coordinates. The text explains concepts like collineations, collineators, and the T-plane, and demonstrates how projective relationships arise from distributive and non-distributive vector actions. What you’ll experience
- How projective joins and planes are written with vectors and scalars
- How to describe collineations as a combination of a linear operation and a translation
- Worked examples, including how mid-points and harmonic relations appear in this framework
- Guidance on choosing the T-plane to simplify problems and avoid coordinates
"synopsis" may belong to another edition of this title.
Other Popular Editions of the Same Title
Search results for Projective Vector Algebra (Classic Reprint): An Algebra...
Seller Image
Projective Vector Algebra (Classic Reprint)
Print on DemandSeller: Forgotten Books, London, United Kingdom
Seller rating 4 out of 5 stars
Paperback. Condition: 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. Seller Inventory # 9781330181966_0
Buy New
£ 13.85
Free Shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: Over 20 available
Stock Image
Projective Vector Algebra An Algebra of Vectors Independent of the Axioms of Congruence and of Parallels Classic Reprint
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330181966
Stock Image
Projective Vector Algebra An Algebra of Vectors Independent of the Axioms of Congruence and of Parallels Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330181966
Buy New
£ 20.84
£ 3.29 shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: 15 available