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© 1958

Finite-Dimensional Vector Spaces

Textbook

Part of the Undergraduate Texts in Mathematics book series (UTM)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Paul R. Halmos
    Pages 1-54
  3. Paul R. Halmos
    Pages 55-117
  4. Paul R. Halmos
    Pages 118-174
  5. Paul R. Halmos
    Pages 175-188
  6. Back Matter
    Pages 189-200

About this book

Introduction

“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

Keywords

Endlichdimensionaler Vektorraum Finite Morphism Parity Permutation Transformation Vector calculus function mathematics theorem

Authors and affiliations

  1. 1.Department of MathematicsSanta Clara UniversitySanta ClaraUSA

Bibliographic information

  • Book Title Finite-Dimensional Vector Spaces
  • Authors P.R. Halmos
  • Series Title Undergraduate Texts in Mathematics
  • DOI https://doi.org/10.1007/978-1-4612-6387-6
  • Copyright Information Springer New York 1958
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-0-387-90093-3
  • Softcover ISBN 978-1-4612-6389-0
  • eBook ISBN 978-1-4612-6387-6
  • Series ISSN 0172-6056
  • Edition Number 1
  • Number of Pages VIII, 202
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Algebra
  • Buy this book on publisher's site

Reviews

“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