by Peter Petersen
Publisher: UCLA 2007
Number of pages: 300
This book covers the aspects of linear algebra that are included in most advanced undergraduate texts. All the usual topics from complex vectors spaces, complex inner products, The Spectral theorem for normal operators, dual spaces, quotient spaces, the minimal polynomial, the Jordan canonical form, and the rational canonical form are explained. A chapter on determinants has been included as the last chapter.
Home page url
Download or read it online for free here:
by Ray M. Bowen, C.-C.Wang - Springer
This book presents the basics of vector and tensor analysis for science and engineering students. Volume 1 covers algebraic structures and a modern introduction to the algebra of vectors and tensors. Clear presentation of mathematical concepts.
by Robert Forsyth Scott - Cambridge University Press
In the present treatise I have attempted to give an exposition of the Theory of Determinants and their more important applications. The treatise uses Grassmann's alternate units, by means of which the study of determinants is much simplified.
by Jonathan Gleason - University of California
From the table of contents: K-modules and linear transformations; Linear independence, spanning, bases, and dimension; Coordinates, column vectors, and matrices; Eigenstuff; Multilinear algebra and tensors; Inner-product spaces; Applications.
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.