Beginning from scratch and developing the standard topics of Linear
Algebra, this book is intended as a text for a first course on the
subject. The goal to which this work leads is the Theorem of
Hurwitz - that the only normed algebras over the real numbers are
the real numbers, the complex numbers, the quaternions, and the
octonions. Unique in presenting this material at an elementary
level, the book stresses the complete logical development of the
subject and will provide a bavuable reference for mathematicians in
general.
General
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