Geometric Algebra

AvE. Artin

Häftad, Engelska, 1988

Del 3 i serien Wiley Classics Library

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Beskrivning

This classic text, written by one of the foremost mathematicians of the 20th century, is now available in a low-priced paperback edition. Exposition is centered on the foundations of affine geometry, the geometry of quadratic forms, and the structure of the general linear group. Context is broadened by the inclusion of projective and symplectic geometry and the structure of symplectic and orthogonal groups.

Produktinformation

Utgivningsdatum:1988-04-30
Mått:147 x 229 x 13 mm
Vikt:297 g
Format:Häftad
Språk:Engelska
Serie:Wiley Classics Library
Antal sidor:224
Förlag:John Wiley & Sons Inc
ISBN:9780471608394

Utforska kategorier

Algebra inom Naturvetenskap och teknik

Mer om författaren

Emil Artin was an Austrian mathematician of Armenian descent. Artin was one of the leading mathematicians of the twentieth century. He is best known for his work on algebraic number theory, contributing largely to class field theory and a new construction of L-functions.

Innehållsförteckning

Partial 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.