Lectures in Projective Geometry is a comprehensive textbook written by Abraham Seidenberg as part of the University Series in Undergraduate Mathematics. The book is designed to serve as a guide for undergraduate students studying projective geometry, a branch of mathematics that deals with the properties of figures that remain unchanged under projective transformations. The book consists of a series of lectures that cover the fundamental concepts of projective geometry, including projective planes, projective spaces, ...
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Lectures in Projective Geometry is a comprehensive textbook written by Abraham Seidenberg as part of the University Series in Undergraduate Mathematics. The book is designed to serve as a guide for undergraduate students studying projective geometry, a branch of mathematics that deals with the properties of figures that remain unchanged under projective transformations. The book consists of a series of lectures that cover the fundamental concepts of projective geometry, including projective planes, projective spaces, projective transformations, and duality. The author provides a clear and concise explanation of each topic, accompanied by numerous examples and exercises to help students develop their understanding of the subject.The book is divided into six main sections, each of which covers a different aspect of projective geometry. The first section introduces the basic concepts of projective geometry, including the projective plane, projective space, and homogeneous coordinates. The second section covers projective transformations, including the cross-ratio and harmonic sets. The third section discusses projective duality, while the fourth section covers conics and quadrics. The fifth section focuses on algebraic geometry, and the final section covers the application of projective geometry to computer graphics.Overall, Lectures in Projective Geometry is an essential textbook for undergraduate students studying mathematics, computer science, or engineering. The book provides a thorough introduction to the principles of projective geometry and is an excellent resource for anyone seeking to deepen their understanding of this fascinating branch of mathematics.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.
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