Abstract Linear Algebra

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Springer Science & Business Media, Jun 25, 1990 - Mathematics - 168 pages
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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.
 

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Contents

III
1
IV
9
V
15
VI
20
VII
28
VIII
37
IX
41
X
47
XVIII
96
XIX
102
XX
111
XXI
116
XXII
123
XXIII
129
XXIV
133
XXV
141

XI
56
XII
61
XIII
71
XIV
76
XV
81
XVI
86
XVII
94
XXVI
145
XXVII
154
XXVIII
156
XXIX
163
XXX
165
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