Introduction to Vectors and Tensors Volume 1: Linear and Multilinear Algebra
by Ray M. Bowen, C.-C.Wang
Publisher: Springer 2008
Number of pages: 314
This work represents our effort to present the basic concepts of vector and tensor analysis. Volume I begins with a brief discussion of algebraic structures followed by a rather detailed discussion of the algebra of vectors and tensors.
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by Peter J. Cameron - Queen Mary, University of London
On the theoretical side, we deal with vector spaces, linear maps, and bilinear forms. On the practical side, the subject is really about one thing: matrices. This module is a mixture of abstract theory and concrete calculations with matrices.
by William Thomson
Every important principle has been illustrated by copious examples, a considerable number of which have been fully worked out. As my main object has been to produce a textbook suitable for beginners, many important theorems have been omitted.
by James V. Herod - Georgia Tech
These notes are about linear operators on Hilbert Spaces. The text is an attempt to provide a way to understand the ideas without the students already having the mathematical maturity that a good undergraduate analysis course could provide.
by Leif Mejlbro - BookBoon
The book is a collection of solved problems in linear equations, matrices and determinants. All examples are solved, and the solutions consist of step-by-step instructions, and are designed to assist students in methodically solving problems.