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Linear Algebra (Hardcover, 1st ed. 2018)
Loot Price: R1,757
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Linear Algebra (Hardcover, 1st ed. 2018)
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This book introduces the fundamental concepts, techniques and
results of linear algebra that form the basis of analysis, applied
mathematics and algebra. Intended as a text for undergraduate
students of mathematics, science and engineering with a knowledge
of set theory, it discusses the concepts that are constantly used
by scientists and engineers. It also lays the foundation for the
language and framework for modern analysis and its applications.
Divided into seven chapters, it discusses vector spaces, linear
transformations, best approximation in inner product spaces,
eigenvalues and eigenvectors, block diagonalisation,
triangularisation, Jordan form, singular value decomposition, polar
decomposition, and many more topics that are relevant to
applications. The topics chosen have become well-established over
the years and are still very much in use. The approach is both
geometric and algebraic. It avoids distraction from the main theme
by deferring the exercises to the end of each section. These
exercises aim at reinforcing the learned concepts rather than as
exposing readers to the tricks involved in the computation.
Problems included at the end of each chapter are relatively
advanced and require a deep understanding and assimilation of the
topics.
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