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 theend 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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Produktdetaljer
ISBN
9789811309267
Publisert
2018
Utgiver
Vendor
Springer
Språk
Product language
Engelsk
Format
Product format
Digital bok
Forfatter