About the Book: Fundamentals of Linear Algebra
Fundamentals of Linear Algebra is like no other book on the subject. By
following a natural and unified approach to the subject it has, in less than 250
pages, achieved a more complete coverage of the subject than books with more
than twice as many pages. For example, the textbooks in use in the United States
prove the existence of a basis only for finite dimensional vector spaces. This
book proves it for any given vector space.
With his experience in algebraic geometry and commutative algebra, the author
defines the dimension of a vector space as