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[资源] 【分享】[PDF]Geometric Algebra for Computer Science.2007[New]

Geometric Algebra for Computer Science,Revised Edition: An Object-oriented Approach to Geometry
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Authors(Editors):
Leo Dorst
Publisher: Morgan Kaufmann
Pub Date: 2007
Pages: 622
ISBN: 978-0-12-374942-0

Preface
Geometric algebra is a powerful and practical framework for the representation and
solution of geometrical problems. We believe it to be eminently suitable to those subfields
of computer science in which such issues occur: computer graphics, robotics, and
computer vision.We wrote this book to explain the basic structure of geometric algebra,
and to help the reader become a practical user.We employ various tools to get there:
? Explanations that are not more mathematical than we deem necessary, connecting
algebra and geometry at every step
? A large number of interactive illustrations to get the “object-oriented” feeling of
constructions that are dependent only on the geometric elements in them (rather
than on coordinates)
? Drills and structural exercises for almost every chapter
? Detailed programming examples on elements of practical applications
? An extensive section on the implementational aspects of geometric algebra (Part III
of this book)
This is the first book on geometric algebra that has been written especially for the computer
science audience. When reading it, you should remember that geometric algebra
is fundamentally simple, and fundamentally simplifying. That simplicity will not always
be clear; precisely because it is so fundamental, it does basic things in a slightly different
way and in a different notation. This requires your full attention, notably in the beginning,
when we only seem to go over familiar things in a perhaps irritatingly different
manner. The patterns we uncover, and the coordinate-free way in which we encode them,
will all pay off in the end in generally applicable quantitative geometrical operators and
constructions.
We emphasize that this is not primarily a book on programming, and that the subtitle
“An Object-oriented Approach to Geometry” should not be interpreted too literally. It is
intended to convey that we finally achieve clean computational “objects” (in the sense of
object-oriented programming) to correspond to the oriented elements and operators of
geometry by identifying them with “oriented objects” of the algebra.

本资源共7个可选网络硬盘链接，10.52 MB。

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Geometric Algebra for Computer Science,Revised Edition_An Object-oriented Approach to Geometry.Leo Dorst.Morgan Kaufmann.2007.pdf
Geometric Algebra for Computer Science,Revised Edition_An Object-oriented Approach to Geometry.Leo Dorst.Morgan Kaufmann.2007.pdf
Geometric Algebra for Computer Science,Revised Edition_An Object-oriented Approach to Geometry.Leo Dorst.Morgan Kaufmann.2007.pdf
Geometric Algebra for Computer Science,Revised Edition_An Object-oriented Approach to Geometry.Leo Dorst.Morgan Kaufmann.2007.pdf
Geometric Algebra for Computer Science,Revised Edition_An Object-oriented Approach to Geometry.Leo Dorst.Morgan Kaufmann.2007.pdf
Geometric Algebra for Computer Science,Revised Edition_An Object-oriented Approach to Geometry.Leo Dorst.Morgan Kaufmann.2007.pdf
Geometric Algebra for Computer Science,Revised Edition_An Object-oriented Approach to Geometry.Leo Dorst.Morgan Kaufmann.2007.pdf
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