Geometry of Matrices (gnv64) torrent - Educational torrents

Geometry of Matrices: In Memory of Professor L K Hua (1910-1985)
by Che-Hsien Wan, Zhe-Xian Wan, Lo-Keng Hua
World Scientific Pub Co Inc | July 1996 | ISBN-10: 9810226381 | PDF | 376 pages | 19 mb

The present monograph is a state-of-the-art survey of the geometry of matrices whose study was initiated by L.K. Hua in the 1940s. 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.

CONTENTS
Preface v
1 Linear Algebra over Division Rings 1
2 Affine Geometry and Projective Geometry 45
3 Geometry of Rectangular Matrices 89
4 Geometry of Alternate Matrices 157
5 Geometry of Symmetric Matrices 217
6 Geometry of Hermitian Matrices 305
Bibliography 367
Index 371