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.
Customer Reviews:
Avg. Customer Rating: 5.0 / 5.0
An illuminated, highly concentrated review of Linear Algebra:
From a physics undergrad:
This is one of those wonderful, highly concentrated books
that deliver extensive Wisdom in only a few pages
of hardcore, to-the-point Theory, without simplifying.
If you enjoy being
told things in a frank manner and without excessive
preambles, even if this means slower reading,
this book is for you. The theory is built from scratch,
but a lack of general abstract mathematical culture
might prove problematic.
Not recommended
for the unprepared or those greedily seeking... more info
