Finite-Dimensional Vector Spaces

Book Details

• Publisher: Dover

• Author: Paul R. Halmos

• Language: English

• Edition: Reprint

• ISBN: 9780486814865

• Pages: 208

• Cover: Paperback

• Dimensions: 8.9 x 5.9 x 0.5 inches

About The Book
Finite-Dimensional Vector Spaces by Paul R. Halmos is a highly regarded classic on linear algebra, offering a modern treatment of the subject that is both accessible and elegant. Ideal for undergraduates with some background in algebra, this book focuses primarily on linear transformations and their applications in various fields of mathematics. Halmos presents the material systematically using the axiomatic method, making it an excellent supplement to traditional linear algebra texts.

This work is known for its clarity and logical flow, with concise, elegant proofs that make complex concepts more accessible. The book contains approximately 350 well-placed exercises, covering a wide range of topics from concrete examples to proof-based problems. The final chapters explore applications of linear algebra to analysis and provide an introduction to the theory of Hilbert spaces.

Written in a style that is both unconventional and insightful, Halmos’ book has long been recognized as a fundamental resource in the field of linear algebra. It remains invaluable for both students and instructors looking to deepen their understanding of modern mathematical theory.