GEOMETRY OF MATRICES: IN MEMORY OF PROFESSOR L K HUA (1910 - 1985)

Inbunden, Engelska, 1996

2 469 kr

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The present monograph is a state-of-art survey of the geometry of matrices whose study was initiated by L K Hua in the forties. The geometry of rectangular matrices, of alternate matrices, of symmetric matrices, and of hermitian matrices over a division ring or a field are studied in detail. The author's recent results on geometry of symmetric matrices and of hermitian matrices are included. A chapter on linear algebra over a division ring and one on affine and projective geometry over a division ring are also included. The book is clearly written so that graduate students and third or fourth year undergraduate students in mathematics can read it without difficulty.

Produktinformation

Utgivningsdatum1996-05-01
Mått157 x 235 x 29 mm
Vikt982 g
FormatInbunden
SpråkEngelska
Antal sidor388
FörlagWorld Scientific Publishing Co Pte Ltd
ISBN9789810226381

Tillhör följande kategorier

Algebra inom Naturvetenskap och teknik
Matematik inom Naturvetenskap och teknik

Part 1 Linear algebra over division rings: matrices over division rings; matrix representations of subspaces; systems of linear equations. Part 2 Affine geometry and projective geometry: affine spaces and affine groups; projective spaces and projective groups; one-dimensional projective geometry. Part 3 Geometry of rectangular matrices: the space of rectangular matrices; proof of the fundamental theorem; application to graph theory. Part 4 Geometry of alternate matrices: the space of alternate matrices; maximal sets. Part 5 Geometry of symmetric matrices: the space of symmetric matrices; proof of the fundamental theorem I-III. Part 6 Geometry of hermitian matrices: maximal sets of rank 1; proof of the fundamental theorem (the case n is greater than or equal to 3); the maximal set of rank 2 (n=2); proof of the fundamental theorem (the case n=2); and others.