Lectures on Analytic and Projective Geometry
by Struik, Dirk J.Format: Paperback
Pub. Date: 2011-11-17
Publisher(s): Dover Publications
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Summary
This text is based on a historic approach used at MIT to teach projective geometry to junior and senior undergraduates. The author develops the geometry of plane and space, leading up to conics and quadrics, within the context of metrical, affine, and projective transformations. Prerequisites include three semesters of calculus and analytic geometry. 1953 edition.
Author Biography
Dirk J. Struik (1894–2000) was an acclaimed mathematician who taught at MIT from 1926 to 1960. After retirement he continued to lecture at MIT forums and served as an honorary research associate at Harvard's History of Science Department.
Table of Contents
1. Point Sets on a Line
2. Line Pencils
3. Line Coordinates. Homogeneous Coordinates
4. Transformations of the Plane
5. Projective Theory of Conics
6. Affine and Euclidean Theory of Conics
7. Projective Metric
8. Points, Lines, and Planes
9. Projective Theory of Quadrics
10. Affine and Euclidean Theory of Quadrics
11. Transformations of Space
Special Exercises
Collateral Reading
Answers to Exercises
Index
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