ISBN: 9788126546695    Publisher: Wiley India Pvt Ltd Year of publishing: 2014     Format:  Paperback No of Pages: 224        Language: English

Table of Contents: Theorems on Vector Spaces. More Detailed Structure of Homomorphisms. Duality and Pairing. Affine and Projective Geometry Dilations and Translations. Construction of the Field. The Fundamental Theorem of Projective Geometry. The Projective Plane. Symplectic and Orthogonal Geometry Metric Structures on Vector Spaces Common Features of Orthogonal and Symplectic Geometry Geometry over Ordered Fields - Sylvester's Theorem. The General Linear Group Non-commutative Determinants. The Structure of GLN(k). Vector Spaces over Finite Fields. The Structure of Symplectic and Orthogonal Groups The Orthogonal Group of Euclidean Space. Elliptic Spaces. The Spinorial Norm. The Structure of the Group omega(X). Bibliography Index
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