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Essential Linear Algebra with Applications - A Problem-Solving Approach (Hardcover, 2014 ed.)
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Essential Linear Algebra with Applications - A Problem-Solving Approach (Hardcover, 2014 ed.)
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Rooted in a pedagogically successful problem-solving approach to
linear algebra, this work fills a gap in the literature that is
sharply divided between, on the one end, elementary texts with only
limited exercises and examples, and, at the other end, books too
advanced in prerequisites and too specialized in focus to appeal to
a wide audience. Instead, it clearly develops the theoretical
foundations of vector spaces, linear equations, matrix algebra,
eigenvectors, and orthogonality, while simultaneously emphasizing
applications to fields such as biology, economics, computer
graphics, electrical engineering, cryptography, and political
science.Key features: * Intertwined discussion of linear algebra
and geometry* Example-driven exposition; each section starts with a
concise overview of important concepts, followed by a selection of
fully-solved problems* Over 500 problems are carefully selected for
instructive appeal, elegance, and theoretical importance; roughly
half include complete solutions* Two or more solutions provided to
many of the problems; paired solutions range from step-by-step,
elementary methods whose purpose is to strengthen basic
comprehension to more sophisticated, self-study manual for
professional scientists and mathematicians. Complete with
bibliography and index, this work is a natural bridge between pure/
applied mathematics and the natural/social sciences, appropriate
for any student or researcher who needs a strong footing in the
theory, problem-solving, and model-building that are the subject's
hallmark. I
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