Finite-dimensional Vector Spaces (University Series in Undergraduate Mathematics) - Hardcover

Halmos, Paul R.

Hardcover

ISBN 10: 0442030622 ISBN 13: 9780442030629

Publisher: Van Nostrand Reinhold Inc.,U.S., 1958

Synopsis

From the reviews: "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 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

About this title

Review

“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.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 für Mathematik

Edition details

• Publisher: Van Nostrand Reinhold Inc.,U.S.
• Publication date: 1958
• ISBN 10: 0442030622
• ISBN 13: 9780442030629
• Binding: Hardcover
• Language: English
• Edition number: 2
• Number of pages: 208