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A COURSE IN LINEAR ALGEBRA WITH APPLICATIONS
by Derek J S Robinson (University of Illinois at Urbana-Champaign, USA)
The book is an introduction to Linear Algebra with an account of its principal applications. It is addressed to students of mathematics, the physical, engineering and social sciences, and commerce. The reader is assumed to have completed the calculus sequence. Special features of the book are thorough coverage of all core areas of linear algebra, with a detailed account of such important applications as least squares, systems of linear recurrences, Markov processes, and systems of differential equations. The book also gives an introduction to some more advanced topics such as diagonalization of Hermitian matrices and Jordan form. A principal aim of the book is to make the material accessible to the reader who is not a mathematician, without loss of mathematical rigor. This is reflected in a wealth of examples, the clarity of writing and the organization of material. There is a growing need for knowledge of linear algebra that goes beyond the basic skills of solving systems of linear equations and this book is intended to meet it.
Contents:
- Matrix Algebra
- Systems of Linear Equations
- Determinants
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Introduction to Vector Spaces
- Basis and Dimension
- Linear Transformations
- Orthogonality in Vector Spaces
- Eigenvectors and Eigenvalues
- Some More Advanced Topics
Readership: Undergraduate students in mathematics, physical, engineering and
social sciences.
"There are useful discussions of two nonstandard topics which caught my eye, the method of least squares and Markov processes, consistent with the author's concern for the applications and the expected readership, which render the text useful for business, economics and social science students as well as those in physical sciences and engineering.... the book has great value for self study as well as adoption as a classroom text ... By all means adopt Robinson's text and enjoy spreading the gospel of linear algebra."
Frank B Cannonito
University of California, Irvine |
"... it is very carefully written, both from the point of view of mathematical content and style, and readability ... It should therefore be very suitable as a course book as well as for self-tuition."
| Mathematics Abstracts, Germany |
| 436pp |
Pub. date: Jul 1991 |
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