[Dover] Seidenberg – Lectures in Projective Geometry
General:
Name: [Dover] Seidenberg – Lectures in Projective Geometry
Format: pdf
Size: 3 MB
Book:
Title: Lectures in Projective Geometry
Author: A. Seidenberg
Language: polski
Year: 2012
Subjects: Mathematics, Nonfiction
Publisher: Dover Publications
ISBN: 9780486446189
Total pages: 240
Description:
An ideal text for undergraduate courses in projective geometry, this volume begins on familiar ground. It starts by employing the leading methods of projective geometry as an extension of high school-level studies of geometry and algebra, and proceeds to more advanced topics with an axiomatic approach. An introductory chapter leads to discussions of projective geometry’s axiomatic foundations: establishing coordinates in a plane; relations between the basic theorems; higher-dimensional space; and conics. Additional topics include coordinate systems and linear transformations; an abstract consideration of coordinate systems; an analytical treatment of conic sections; coordinates on a conic; pairs of conics; quadric surfaces; and the Jordan canonical form. Numerous figures illuminate the text.
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