Geometric Algebra
Will be published approx. on 30. April 1988
Book
Paperback/Softback
224 pages
978-0-471-60839-4 (ISBN)
Description
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.
More details
Series
Edition
Revised edition
Language
English
Place of publication
New York
United States
Target group
College/higher education
Professional and scholarly
Product notice
Paperback (trade)
Unsewn / adhesive bound
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 13 mm
Weight
371 gr
ISBN-13
978-0-471-60839-4 (9780471608394)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Person
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.
Content
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.
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.