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Finite-Dimensional Vector Spaces
The theory is systematically developed by the axiomatic method that has, since von Neumann, dominated the general approach to linear functional analysis and that achieves here a high degree of lucidity and clarity. The presentation is never awkward or dry, as it sometimes is in other modern textbooks; it is as unconventional as one has come to expect from the author. The b ...more
Hardcover, 202 pages
Published August 20th 1993 by Springer
(first published 1947)
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I own at least a dozen books on various aspects of linear algebra, ranging from community college level textbooks (Anton) to treatments targeting specific industries such as computer graphics. Invariably, I end up poring over the relevant material in Halmos to ensure that both the exposition in some other text and my understanding of the topic is correct.
Time spent reading this relatively thin book is measured in "hours per page." It's time well spent.