Descartes’ Discovery. Here and There: Points and Vectors in 2D. Lining Up: 2D Lines. Changing Shapes: Linear Maps in 2D. 2 x 2 Linear Systems. Moving Things Around: Affine Maps in 2D. Eigen Things. 3D Geometry. Linear Maps in 3D. Affine Maps in 3D. Interactions in 3D. Gauss for Linear Systems. Alternative System Solvers. General Linear Spaces. Eigen Things Revisited. The Singular Value Decomposition. Breaking It Up: Triangles. Putting Lines Together: Polylines and Polygons. Conics. Curves. Appendices. Bibliography. Index.
Farin, Gerald; Hansford, Dianne
Praise for the Second Edition:"… quite appropriate for students in
engineering and computer graphics as well as in mathematics. It is
well written and the examples are carefully chosen to motivate or
exemplify the topic at hand. … Recommended."
—J.R. Burke, CHOICE, September 2005"I picked up this book with the
thought, ‘oh, another linear algebra text.’ I was pleasantly
surprised, upon examination, that it is not just another one. The
standard linear algebra material is presented with good motivating
stories, illustrations, and examples."
—CMS Notes, February 2006"[The] mixture of linear algebra,
geometry, and numerical aspects is very interesting and will
probably stimulate the students."
—Bulletin of the Belgian Mathematical Society, December
2005"Teaching computer graphics and mathematics in the study
program Digital Media, I have found Practical Linear Algebra to be
precisely the kind of book I’ve long been looking for. It covers
all topics that are vital for computer graphics, even gives lots of
applications in that field, including for instance PostScript, and
does so in a very practical but nonetheless rigorous manner. I find
many elements of my own teaching in this book, including the
hand-made style of drawings (rendering them more ‘hands-on’), using
a geometric shape to illustrate the action of a 2x2 matrix, and
deriving the determinant from the computation of areas and volumes
instead of plainly presenting a formula. I have recommended this
book strongly to all students in my first-year courses and will
continue to do so."
—Jörn Loviscach, University of Applied Sciences Bremen"I was
impressed with the applications, especially those related to
computer graphics. … I think some faculty will be interested in
using the book because the geometric descriptions and applications
are very nice."
—Linda Patton, Cal Poly San Luis Obispo"I just purchased your book
… and I immediately fell in love with it. I love the nice
illustrations and diagrams, which are very helpful in promoting an
intuitive understanding of every concept. I am a clinician
investigator at the National Institutes of Health who is conducting
MRI research of the heart. My main interest is finite deformation
of the heart muscle structures; however, since I do not have an
engineering background, I have been looking for a nice textbook on
linear algebra."
—Hiroshi Ashikaga, National Institutes of Health"After having
finished your book today, I agree completely with the very
favorable reviews that I saw on the Internet. It was an
enlightening experience to brush up on my old university math with
this book. The ‘sketchy’ way of explaining things sure worked for
me."
—Anneke Sicherer-Roetman, Maritime Research Institute Netherlands"…
it’s done a world of wonder for me, as I need to review my linear
algebra to prepare for studying computer graphics. I really can’t
thank you enough."
—Daniel Kurtz, Northeastern University"Practical Linear Algebra is
great. I write software for the image analysis of medical images
where in several occasions I have had to deal with eigen things and
[others]. I have been using your book as a valuable reference to
refresh and understand these concepts that I studied when I was a
student."
—Diego Bordegari
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