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Advanced Linear Algebra with Applications (1st ed. 2022)
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Advanced Linear Algebra with Applications (1st ed. 2022)
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This book provides a comprehensive knowledge of linear algebra for
graduate and undergraduate courses. As a self-contained text, it
aims at covering all important areas of the subject, including
algebraic structures, matrices and systems of linear equations,
vector spaces, linear transformations, dual and inner product
spaces, canonical, bilinear, quadratic, sesquilinear, Hermitian
forms of operators and tensor products of vector spaces with their
algebras. The last three chapters focus on empowering readers to
pursue interdisciplinary applications of linear algebra in
numerical methods, analytical geometry and in solving linear system
of differential equations. A rich collection of examples and
exercises are present at the end of each section to enhance the
conceptual understanding of readers. Basic knowledge of various
notions, such as sets, relations, mappings, etc., has been
pre-assumed.
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