Advanced Linear Algebra (2014) [PDF]
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Torrent File Content (1 file)
Advanced Linear Algebra (2014) [PDF]
Advanced Linear Algebra.pdf -
Advanced Linear Algebra.pdf -
4.62 MB
Description
Hardcover: 632 pages
Publisher: Chapman and Hall/CRC; 1 edition (12 May
2014)
Language: English
ISBN-10: 1466559012
ISBN-13: 978-1466559011
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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