FiniteDimensional Vector Spaces: Second Edition (Dover Books on Mathematics),New
FiniteDimensional Vector Spaces: Second Edition (Dover Books on Mathematics),New

FiniteDimensional Vector Spaces: Second Edition (Dover Books on Mathematics),New

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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 wellwritten 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 wellplaced 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 fr Mathematik.

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Frequently Asked Questions

  • Q: What is the main focus of 'Finite-Dimensional Vector Spaces'? A: The book primarily focuses on linear transformations and provides a systematic development of linear algebra through the axiomatic method.
  • Q: Who is the author of this book? A: The author of 'Finite-Dimensional Vector Spaces' is Paul R. Halmos, a renowned mathematician recognized for his contributions to linear functional analysis.
  • Q: Is this book suitable for beginners in linear algebra? A: Yes, the book is accessible to undergraduates with some background in algebra, making it a good supplement to traditional linear algebra texts.
  • Q: What type of exercises can I expect from this book? A: The book contains about 350 well-placed exercises, which include a mix of proof questions and concrete examples to reinforce learning.
  • Q: When was the second edition of 'Finite-Dimensional Vector Spaces' published? A: The second edition was published on August 15, 2017.
  • Q: What is the format of this book? A: The book is available in a paperback binding, making it portable and easy to handle for both study and reference.
  • Q: How many pages does this book contain? A: The book contains a total of 208 pages.
  • Q: What distinguishes this book from other linear algebra texts? A: Halmos's book is noted for its clarity, logical structure, and unconventional presentation, which many readers find refreshing compared to traditional textbooks.
  • Q: Does the book cover applications to other areas of mathematics? A: Yes, the book includes a few applications to analysis and provides a summary of concepts needed to extend the theory to Hilbert spaces.
  • Q: Is this book considered a classic in the field of mathematics? A: Yes, it is widely cited in literature and considered a classic work on linear algebra, appreciated by both students and educators.