By L. Mirsky

*American Mathematical Monthly*.

This paintings presents an uncomplicated and simply readable account of linear algebra, during which the exposition is adequately easy to make it both worthwhile to readers whose central pursuits lie within the fields of physics or know-how. The account is self-contained, and the reader isn't really assumed to have any prior wisdom of linear algebra. even though its accessibility makes it appropriate for non-mathematicians, Professor Mirsky's ebook is however a scientific and rigorous improvement of the topic.

Part I bargains with determinants, vector areas, matrices, linear equations, and the illustration of linear operators by means of matrices. half II starts with the creation of the attribute equation and is going directly to speak about unitary matrices, linear teams, services of matrices, and diagonal and triangular canonical types. half II is anxious with quadratic types and comparable ideas. functions to geometry are under pressure all through; and such issues as rotation, aid of quadrics to critical axes, and class of quadrics are taken care of in a few element. An account of lots of the hassle-free inequalities bobbing up within the concept of matrices can also be integrated. one of the most precious gains of the publication are the various examples and difficulties on the finish of every bankruptcy, conscientiously chosen to explain issues made within the textual content.

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### An Introduction to Linear Algebra (Dover Books on Mathematics) by L. Mirsky

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