An Introduction to Linear Algebra
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Numar articol:205796178
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Preț:125,00 Lei
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Specificatii
The straight-forward clarity of the writing is admirable. American
Mathematical Monthly.This work provides an elementary and easily
readable account of linear algebra, in which the exposition is
sufficiently simple to make it equally useful to readers whose
principal interests lie in the fields of physics or technology. The
account is self-contained, and the reader is not assumed to have
any previous knowledge of linear algebra. Although its
accessibility makes it suitable for non-mathematicians, Professor
Mirsky's book is nevertheless a systematic and rigorous development
of the subject. Part I deals with determinants, vector spaces,
matrices, linear equations, and the representation of linear
operators by matrices. Part II begins with the introduction of the
characteristic equation and goes on to discuss unitary matrices,
linear groups, functions of matrices, and diagonal and triangular
canonical forms. Part II is concerned with quadratic forms and
related concepts. Applications to geometry are stressed throughout;
and such topics as rotation, reduction of quadrics to principal
axes, and classification of quadrics are treated in some detail. An
account of most of the elementary inequalities arising in the
theory of matrices is also included. Among the most valuable
features of the book are the numerous examples and problems at the
end of each chapter, carefully selected to clarify points made in
the text.
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