LINEAR ALGEBRA by Surjeet Singh

LINEAR ALGEBRA

ISBN 9788125904823 Price 440.00 Binding Paperback

Surjeet Singh

ABOUT THE BOOK

The present book is intended for the advanced level undergraduate, and postgraduate students, in mathematics and other disciplines, who need a comprehensive knowledge of linear algebra. It can also be a reference source for teachers, looking for detailed proofs of results, given in elementary books, without proofs. The linear algebra is developed over a field. The first chapters are devoted to basic concepts of matrices, abstract vector spaces, linear transformations and determinants. The other three chapters discuss various canonical forms of matrices, inner product spaces, sesquilinear forms, and bilinear forms. The book contains detailed proofs of various results; these proofs may or may not be discussed by a teacher, depending upon the course being offered. The further elucidate the material in the book, a large number of examples and remarks are given.

CONTENTS

1.Algebra And Matrices, 2.Vector Spaces, 3.Linear Transformations, 4.Determinants, 5.Single Linear operator, 5.Single Linear Operator, 6.Inner Product Spaces, 7.Bilinear Form

About The Author

Prof Surjeet Singh started his teaching career as an assistant lecturer in Mathematics at Kirori Mal College, Delhi in 1963. After his Ph.D. from the University of Delhi in 1969, he joined Aligarh Muslim University as Reader in Mathematics, where he taught up to 1975. During his stay there he supervised a number of students for their Ph.D. He became the professor and head of Department of Mathematics at Guru Nanak Dev University, Amritsar in 1975 and worked there up to 1979. Thereafter, he moved to Kuwait University at Kuwait, and after 18 years, he joined King Saud University, Riyadh, Saudi Arabia where he taught up to 2005. During his career, he held visiting assignments at Ohio University, USA, University of Montreal and McMaster University, Canada, and Panjab University, Chandigarh. More than 85 of his research papers on ring theory have been published in international journals of repute. He has also authored a book on Linear Algebra published by Vikas.