Details

Geometric Algebra


Geometric Algebra


1. Aufl.

von: E. Artin

119,99 €

Verlag: Wiley
Format: PDF
Veröffentl.: 09.09.2011
ISBN/EAN: 9781118164549
Sprache: englisch
Anzahl Seiten: 224

DRM-geschütztes eBook, Sie benötigen z.B. Adobe Digital Editions und eine Adobe ID zum Lesen.

Beschreibungen

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.
Partial table of contents:<br> <br> Theorems on Vector Spaces.<br> <br> More Detailed Structure of Homomorphisms.<br> <br> Duality and Pairing.<br> <br> AFFINE AND PROJECTIVE GEOMETRY.<br> <br> Dilations and Translations.<br> <br> Construction of the Field.<br> <br> The Fundamental Theorem of Projective Geometry.<br> <br> The Projective Plane.<br> <br> SYMPLECTIC AND ORTHOGONAL GEOMETRY.<br> <br> Metric Structures on Vector Spaces.<br> <br> Common Features of Orthogonal and Symplectic Geometry.<br> <br> Geometry over Ordered Fields--Sylvester's Theorem.<br> <br> THE GENERAL LINEAR GROUP.<br> <br> Non-commutative Determinants.<br> <br> The Structure of GLN(k).<br> <br> Vector Spaces over Finite Fields.<br> <br> THE STRUCTURE OF SYMPLECTIC AND ORTHOGONAL GROUPS.<br> <br> The Orthogonal Group of Euclidean Space.<br> <br> Elliptic Spaces.<br> <br> The Spinorial Norm.<br> <br> The Structure of the Group omega(X).<br> <br> Bibliography.<br> <br> Index.
<p>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.

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