Finite-Dimensional Vector Spaces
eBook - ePub

Finite-Dimensional Vector Spaces

Second Edition

  1. 208 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Finite-Dimensional Vector Spaces

Second Edition

About this book

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, 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.

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Yes, you can access Finite-Dimensional Vector Spaces by Paul R. Halmos in PDF and/or ePUB format, as well as other popular books in Mathematics & Linear Algebra. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Title Page
  3. Copyright Page
  4. Preface
  5. Contents
  6. I. Spaces
  7. II. Transformations
  8. III. Orthogonality
  9. IV. Analysis
  10. Appendix. Hilbert Space
  11. Recommended Reading
  12. Index of Terms
  13. Index of Symbols