TY - BOOK AU - Artin, Emil. TI - Geometric algebra SN - 9780486801551 U1 - 516 PY - 2014/// CY - New York PB - Dover Publications KW - Algebras, Linear KW - Geometry, Projective KW - Geometry, Algebraic N1 - 1 Partial table of contents: Theorems on Vector Spaces. 2 More Detailed Structure of Homomorphisms. 3 Duality and Pairing. 4 AFFINE AND PROJECTIVE GEOMETRY. 5 Dilations and Translations. Construction of the Field. 6 The Fundamental Theorem of Projective Geometry. 7 The Projective Plane. 8 SYMPLECTIC AND ORTHOGONAL GEOMETRY. 9 Metric Structures on Vector Spaces. 10 Common Features of Orthogonal and Symplectic Geometry. Geometry over Ordered Fields--Sylvester's Theorem. 11 THE GENERAL LINEAR GROUP. Non-commutative Determinants. 12 The Structure of GLN(k). Vector Spaces over Finite Fields. 13 THE STRUCTURE OF SYMPLECTIC AND ORTHOGONAL GROUPS. 14 The Orthogonal Group of Euclidean Space. Elliptic Spaces ER -