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- catalog contributor b1261161.
- catalog created "[1957]".
- catalog date "1957".
- catalog date "[1957]".
- catalog dateCopyrighted "[1957]".
- catalog description "Includes bibliographical references (pages 212) and index.".
- catalog description "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 orthogonal groups. Structure of the symplectic group ; The orthogonal group of euclidean space ; Elliptic spaces ; The Clifford algebra ; The spinorial norm ; The cases dim V <̲ 4 ; The structure of the group [omega](V).".
- catalog extent "214 p. ;".
- catalog hasFormat "Geometric algebra.".
- catalog isFormatOf "Geometric algebra.".
- catalog isPartOf "Interscience tracts in pure and applied mathematics ; no. 3".
- catalog issued "1957".
- catalog issued "[1957]".
- catalog language "eng".
- catalog publisher "New York, Interscience Publishers".
- catalog relation "Geometric algebra.".
- catalog subject "Algebraic fields.".
- catalog subject "Algebras, Linear.".
- catalog subject "Geometry, Non-Euclidean.".
- catalog subject "Geometry, Projective.".
- catalog subject "QA251 .A7".
- catalog tableOfContents "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 orthogonal groups. Structure of the symplectic group ; The orthogonal group of euclidean space ; Elliptic spaces ; The Clifford algebra ; The spinorial norm ; The cases dim V <̲ 4 ; The structure of the group [omega](V).".
- catalog title "Geometric algebra.".
- catalog type "text".