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Elementary Linear Algebra (Hardcover, 5th edition)
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Elementary Linear Algebra (Hardcover, 5th edition)
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Elementary Linear Algebra, 5th edition, by Stephen Andrilli and
David Hecker, is a textbook for a beginning course in linear
algebra for sophomore or junior mathematics majors. This text
provides a solid introduction to both the computational and
theoretical aspects of linear algebra. The textbook covers many
important real-world applications of linear algebra, including
graph theory, circuit theory, Markov chains, elementary coding
theory, least-squares polynomials and least-squares solutions for
inconsistent systems, differential equations, computer graphics and
quadratic forms. Also, many computational techniques in linear
algebra are presented, including iterative methods for solving
linear systems, LDU Decomposition, the Power Method for finding
eigenvalues, QR Decomposition, and Singular Value Decomposition and
its usefulness in digital imaging. The most unique feature of the
text is that students are nurtured in the art of creating
mathematical proofs using linear algebra as the underlying context.
The text contains a large number of worked out examples, as well as
more than 970 exercises (with over 2600 total questions) to give
students practice in both the computational aspects of the course
and in developing their proof-writing abilities. Every section of
the text ends with a series of true/false questions carefully
designed to test the students' understanding of the material. In
addition, each of the first seven chapters concludes with a
thorough set of review exercises and additional true/false
questions. Supplements to the text include an Instructor's Manual
with answers to all of the exercises in the text, and a Student
Solutions Manual with detailed answers to the starred exercises in
the text. Finally, there are seven additional web sections
available on the book's website to instructors who adopt the text.
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