Title Statements
- Full title :Geometric algebra / E. Artin.
Edition Statements
- Publication Date:1988, ©1957.
- Edition:Wiley Classics Library ed
Publication Statements
- Publisher(s):Interscience Publishers
- Place of Publication:New York
- Language:eng
- Publication Date:1988, ©1957.
Notes
Reprint. Originally published: New York : Interscience Publishers, 1957. (Interscience tracts in pure and applied mathematics; no. 3).
The Physical Object
- Description:x, 214 pages ; : 23 cm
Edition Identifiers
- ISBN:0470034327, 9780470034323, 0471608394, 9780471608394
- oclc:ocm19356964
- LC Classification:QA251
- Dewey Decimal:516.35
Table of Contents
Preface -- Suggestions for the use of the book -- Preliminary notions. Notions of set theory ; Theorems on vector spaces ; More detailed structure of homomorphisms ; Duality and pairing ; Linear equations ; Suggestions for an exercise ; Notions of group theory ; Notions of field theory ; Ordered fields ; Valuations -- Affine and projective geometry. Introduction and the first three axioms ; Dilatations and translations ; Construction of the field ; Introduction of coordinates ; Affine geometry based on a given field ; Desargues' theorem ; Pappus' theorem and the commutative law ; Ordered geometry ; Harmonic points ; The fundamental theorem of projective geometry ; The projective plane -- Symplectic and orthogonal geometry. Metric structures on vector spaces ; Definitions of symplectic and orthogonal geometry ; Common features of orthogonal and symplectic geometry ; Special features of orthogonal geometry ; Special features of symplectic geometry ; Geometry over finite fields ; 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 o…
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