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Books > Science & Mathematics > Mathematics > Algebra
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Practical Linear Algebra - A Geometry Toolbox (Hardcover, 4th edition)
Loot Price: R2,546
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Practical Linear Algebra - A Geometry Toolbox (Hardcover, 4th edition)
Series: Textbooks in Mathematics
Expected to ship within 9 - 15 working days
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Linear algebra is growing in importance. 3D entertainment,
animations in movies and video games are developed using linear
algebra. Animated characters are generated using equations straight
out of this book. Linear algebra is used to extract knowledge from
the massive amounts of data generated from modern technology. The
Fourth Edition of this popular text introduces linear algebra in a
comprehensive, geometric, and algorithmic way. The authors start
with the fundamentals in 2D and 3D, then move on to higher
dimensions, expanding on the fundamentals and introducing new
topics, which are necessary for many real-life applications and the
development of abstract thought. Applications are introduced to
motivate topics. The subtitle, A Geometry Toolbox, hints at the
book's geometric approach, which is supported by many sketches and
figures. Furthermore, the book covers applications of triangles,
polygons, conics, and curves. Examples demonstrate each topic in
action. This practical approach to a linear algebra course, whether
through classroom instruction or self-study, is unique to this
book. New to the Fourth Edition: Ten new application sections. A
new section on change of basis. This concept now appears in several
places. Chapters 14-16 on higher dimensions are notably revised. A
deeper look at polynomials in the gallery of spaces. Introduces the
QR decomposition and its relevance to least squares. Similarity and
diagonalization are given more attention, as are eigenfunctions. A
longer thread on least squares, running from orthogonal projections
to a solution via SVD and the pseudoinverse. More applications for
PCA have been added. More examples, exercises, and more on the
kernel and general linear spaces. A list of applications has been
added in Appendix A. The book gives instructors the option of
tailoring the course for the primary interests of their students:
mathematics, engineering, science, computer graphics, and geometric
modeling.
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