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Three Dimensional Chains and the Classification of the Resulting Collineations in Space (Classic Reprint): Thesis - Softcover

Gregor, Hazel Hope Mac

 
9781527871649: Three Dimensional Chains and the Classification of the Resulting Collineations in Space (Classic Reprint): Thesis

Synopsis

This book delves into the mathematics of collineations in space, with a specific focus on uncovering their invariant figures and classification. The author, a respected mathematician, presents a systematic approach to the subject, beginning with the fundamental properties of three-chains—a crucial concept in the study of collineations. They then proceed to classify the collineations in space based on their invariant three-chains, identifying 19 distinct subtypes within 13 general types. Each subtype is carefully defined and its geometric characteristics are explored. Through this thorough analysis, the book provides valuable insights into the behavior of collineations, offering a deeper understanding of their properties and their significance in the broader field of geometry.

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