Finite-Dimensional Vector Spaces by Paul R Halmos

Finite-Dimensional Vector Spaces by Paul R Halmos

A fine example of a great mathematician's intellect and mathematical style, this classic on linear algebra is widely cited in the literature. The treatment is an ideal supplement to many traditional linear algebra texts and is accessible to undergraduates with some background in algebra.
This is a classic but still useful introduction to modern linear algebra. It is primarily about linear transformations . It's also extremely well-written and logical, with short and elegant proofs. . The exercises are very good, and are a mixture of proof questions and concrete examples. The book ends with a few applications to analysis . and a brief summary of what is needed to extend this theory to Hilbert spaces.--Allen Stenger, MA Reviews, maa.org, May, 2016.
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 book contains about 350 well-placed and instructive problems, which cover a considerable part of the subject. All in all this is an excellent work, of equally high value for both student and teacher.--Zentralblatt fü¾˜¶˜¼r Mathematik.
Dover (2017) republication of the edition originally published by D. Van Nostrand Co., Princeton, New Jersey, 1958.
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Paul R. Halmos (1916-2006) was a prominent American mathematician who taught at the University of Chicago, the University of Michigan, and other schools and made significant contributions to several areas of mathematics, including mathematical logic, ergodic theory, functional analysis, and probability theory. His other Dover books are Algebraic Logic, Finite-Dimensional Vector Spaces, Introduction to Hilbert Space and the Theory of Spectral Multiplicity, Lectures on Ergodic Theory, and Naive Set Theory.

SKU	Unavailable
ISBN 13	9780486814865
ISBN 10	0486814866
Title	Finite-Dimensional Vector Spaces
Author	Paul R Halmos
Condition	Unavailable
Binding Type	Paperback
Publisher	Dover Publications Inc.
Year published	2017-08-25
Number of pages	208
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note	Unavailable