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Linear Algebra for the 21st Century (Paperback, 1)
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Linear Algebra for the 21st Century (Paperback, 1)
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Customarily, much of traditional mathematics curricula was
predicated on 'by hand' calculation. However, ubiquitous computing
requires us to refresh what we teach and how it is taught. This is
especially true in the rapidly broadening fields of Data Mining and
Artificial Intelligence, and also in fields such as Bioinformatics,
which all require the use of Singular Value Decomposition (SVD).
Indeed, SVD is sometimes called the jewel in the crown of linear
algebra. Linear Algebra for 21st Century Applications adapts linear
algebra to best suit modern teaching and application, and it places
the SVD as central to the text early on to empower science and
engineering students to learn and use potent practical and
theoretical techniques. No rigour is lost in this new route as the
text demonstrates that most theory is better proved with an SVD. In
addition to this, there is earlier introduction, development, and
emphasis on orthogonality that is vital in so many applied
disciplines throughout science, engineering, computing and
increasingly within the social sciences. To assimilate the
so-called third arm of science, namely computing, Matlab/Octave
computation is explicitly integrated into developing the
mathematical concepts and applications. A strong graphical emphasis
takes advantage of the power of visualisation in the human brain
and examples are included to exhibit modern applications of linear
algebra, such as GPS, text mining, and image processing. Active
learning is encouraged with exercises throughout that are aimed to
enhance ectures, quizzes, or 'flipped' teaching.
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