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Advanced Linear Algebra (Hardcover)
Loot Price: R3,907
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Advanced Linear Algebra (Hardcover)
Series: Textbooks in Mathematics
Expected to ship within 10 - 15 working days
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Designed for advanced undergraduate and beginning graduate students
in linear or abstract algebra, Advanced Linear Algebra covers
theoretical aspects of the subject, along with examples,
computations, and proofs. It explores a variety of advanced topics
in linear algebra that highlight the rich interconnections of the
subject to geometry, algebra, analysis, combinatorics, numerical
computation, and many other areas of mathematics. The book's 20
chapters are grouped into six main areas: algebraic structures,
matrices, structured matrices, geometric aspects of linear algebra,
modules, and multilinear algebra. The level of abstraction
gradually increases as students proceed through the text, moving
from matrices to vector spaces to modules. Each chapter consists of
a mathematical vignette devoted to the development of one specific
topic. Some chapters look at introductory material from a
sophisticated or abstract viewpoint while others provide elementary
expositions of more theoretical concepts. Several chapters offer
unusual perspectives or novel treatments of standard results.
Unlike similar advanced mathematical texts, this one minimizes the
dependence of each chapter on material found in previous chapters
so that students may immediately turn to the relevant chapter
without first wading through pages of earlier material to access
the necessary algebraic background and theorems. Chapter summaries
contain a structured list of the principal definitions and results.
End-of-chapter exercises aid students in digesting the material.
Students are encouraged to use a computer algebra system to help
solve computationally intensive exercises.
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