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Geometric Algebra E. Artin (Princeton University)

Geometric Algebra By E. Artin (Princeton University)

Geometric Algebra by E. Artin (Princeton University)

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Summary

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.

Geometric Algebra Summary

Geometric Algebra by E. Artin (Princeton University)

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.

About E. Artin (Princeton University)

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.

Table of Contents

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.

Additional information

NLS9780471608394
9780471608394
0471608394
Geometric Algebra by E. Artin (Princeton University)
E. Artin (Princeton University)
Wiley Classics Library
New
Paperback
John Wiley & Sons Inc
1988-04-30
224
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a new book - be the first to read this copy. With untouched pages and a perfect binding, your brand new copy is ready to be opened for the first time

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