Introductory Linear Algebra by M. A. Akivis
Publisher: Prentice Hall; (August 1972) | ISBN: 0135019656 | Pages: 192 | DJVU | 4.64 MB

The present book, stemming from the first four chapters of the authors' Tensor Calculus (Moscow, 1969), constitutes a lucid and completely elementary introduction to linear algebra. The treatment is virtually self-contained. In fact, the mathematical background assumed on the part of the reader hardly exceeds a smattering of calculus and a casual acquaintance with determinants. A special merit of the book, reflecting its lineage, is its free use of tensor notation, in particular the Einstein summation convention. Each of the 25 sections is equipped with a problem set, leading to a total of over 250 problems. Hints and answers to most of these problems can be found at the end of the book.