Book:J.G. Semple/Algebraic Projective Geometry

From ProofWiki
Jump to: navigation, search

J.G. Semple and G.T. Kneebone: Algebraic Projective Geometry

Published $1952$, Oxford at the Clarendon Press.


Subject Matter


Contents

Preface (April 1952)
PART I: THE ORIGINS AND DEVELOPMENT OF GEOMETRICAL KNOWLEDGE
I. The Concept of Geometry
II. The Analytical Treatment of Geometry
PART II: ABSTRACT PROJECTIVE GEOMETRY
III. Projective Geometry of One Dimension
IV. Projective Geometry of Two Dimensions
V. Conic Loci and Conic Envelopes
VI. Further Properties of Conics
VII. Linear Systems of Conics
VIII. Higher Correspondencies, Apolarity and the Theory of Invariants
IX. Transformations of the Plane
X. Projective Geometry of Three Dimensions
XI. The Quadric
XII. The Twisted Cube Curve and Cubic Surfaces
XIII. Linear Systems of Quadrics
XIV. Linear Transformations of Space
XV. Line Geometry
XVI. Projective Geometry of $n$ Dimensions
APPENDIX. Two Basic Algebraic Theorems
INDEX