Finite-dimensional Vector Spaces: Second Edition (dover Books On Mathematics)
by Paul R. Halmos /
2017 / English / EPUB
9.9 MB Download
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.
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,
"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,MAA Reviews,
MAA Reviews,
maa.org, May, 2016.
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." —
"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 für Mathematik.
Zentralblatt für Mathematik.
