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URL :  Linear Algebra Theory and Applications
Author : Kenneth Kuttler, PhD.
Detail : 2014| PDF | 5.5 Mb | 503 pages

eBook License: Creative Commons License

This is a book on linear algebra and matrix theory. While it is self-contained, it will work best for those who have already had some exposure to linear algebra. It is also assumed that the reader has had calculus. Some optional topics require more analysis than this, however.

I think that the subject of linear algebra is likely the most significant topic discussed in undergraduate mathematics courses. Part of the reason for this is its usefulness in unifying so many different topics. Linear algebra is essential in analysis, applied math, and even in theoretical mathematics. This is the point of view of this book, more than a presentation of linear algebra for its own sake. This is why there are numerous applications, some fairly unusual. (From Author)

eBook Contents

Preliminaries – Matrices and Linear Transformations – Determinants – Row Operations – Some Factorizations – Linear Programming – Spectral Theory – Vector Spaces and Fields – Linear Transformations - Linear Transformations Canonical Forms – Markov Chains and Migration Processes - Inner Product Spaces – Self Adjoint Operators – Norms for Finite Dimensional Spaces – Numerical Methods for Finding Eigenvalues
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