Geometric Algebra

Artin (Autor)

Software / Digital Media

224 Seiten

2011
John Wiley & Sons Inc (Hersteller)
978-1-118-16451-8 (ISBN)

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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.

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.

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.

Erscheint lt. Verlag	7.9.2011
Verlagsort	New York
Sprache	englisch
Maße	150 x 250 mm
Gewicht	666 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	1-118-16451-2 / 1118164512
ISBN-13	978-1-118-16451-8 / 9781118164518
Zustand	Neuware