Algebraic Protective Geometry

About this book

First published in 1952, this book has been recommended to generations of students. It provides a clear and systematic introduction to projective geometry, building on concepts from linear algebra.

Contents

PART 1: THE ORIGINS AND DEVELOPMENT OF GEOMETRICAL KNOWLEDGE; 1. The concept of geometry; 2. The analytical treatment of geometry; PART 2: ABSTRACT PROJECTIVE GEOMETRY; 3. Projective geometry of one dimension; 4. Projective geometry of two dimensions; 5. Conic logic and conic envelopes; 6. Further properties of conics; 7. Linear systems of conics; 8. Higher correspondences: apolarity, and the theory of invariants; 9. Transformations of the plane; 10. Projective geometry of three dimensions; 11. The quadric; 12. The twisted cubic curve and cubic surfaces; 13. Linear systems of quadrics; 14. Linear transformations of space; 15. Line geometry; 16. Projective geometry of n dimensions

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