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Books > Science & Mathematics > Mathematics > Algebra
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Fundamentals of Linear Algebra (Paperback)
Loot Price: R1,327
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Fundamentals of Linear Algebra (Paperback)
Series: Textbooks in Mathematics
Expected to ship within 12 - 17 working days
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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 its Krull dimension. By doing
so, most of the facts about bases when the dimension is finite, are
trivial consequences of this definition. To name one, the
replacement theorem is no longer needed. It becomes obvious that
any two bases of a finite dimensional vector space contain the same
number of vectors. Moreover, this definition of the dimension works
equally well when the geometric objects are nonlinear. Features:
Presents theories and applications in an attempt to raise
expectations and outcomes The subject of linear algebra is
presented over arbitrary fields Includes many non-trivial examples
which address real-world problems
General
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