E. Artin

Geometric Algebra

• Broschiertes Buch

Produktbeschreibung

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Produktdetails

• Verlag: Creative Media Partners, LLC
• Seitenzahl: 224
• Erscheinungstermin: 26. Oktober 2022
• Englisch
• Abmessung: 234mm x 156mm x 12mm
• Gewicht: 318g
• ISBN-13: 9781015409903
• ISBN-10: 1015409903
• Artikelnr.: 66462799

Autorenporträt

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.

Inhaltsangabe

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.