佐武一郎
Linear algebra.
Translated from the Japanese by Sebastian Koh,
Tadatoshi Akiba and Shin-ichiro Ihara.
Pure and Applied Mathematics, Vol. 29.
Marcel Dekker, Inc., New York, 1975. xi+375 pp.
This is an excellent advanced undergraduate or
beginning graduate text in linear algebra. Parts of
it could also be used for a sophomore course on
the same subject. The first chapter, “Vector and Matrix Operations”,
begins with the vector space of n-tuples and
some of its elementary properties, together with the algebra of matrices.
There is an interesting appendix in which the exponential of a
matrix is defined and applied to the solution of linear
differential equations with constant coefficients.