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Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
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Fundamentals of Geometry Construction - The Math Behind the CAD (Hardcover, 1st ed. 2020)
Loot Price: R1,521
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Fundamentals of Geometry Construction - The Math Behind the CAD (Hardcover, 1st ed. 2020)
Series: Springer Tracts in Mechanical Engineering
Expected to ship within 10 - 15 working days
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The textbook provides both beginner and experienced CAD users with
the math behind the CAD. The geometry tools introduced here help
the reader exploit commercial CAD software to its fullest extent.
In fact, the book enables the reader to go beyond what CAD software
packages offer in their menus. Chapter 1 summarizes the basic
Linear and Vector Algebra pertinent to vectors in 3D, with some
novelties: the 2D form of the vector product and the manipulation
of "larger" matrices and vectors by means of block-partitioning of
larger arrays. In chapter 2 the relations among points, lines and
curves in the plane are revised accordingly; the difference between
curves representing functions and their geometric counterparts is
emphasized. Geometric objects in 3D, namely, points, planes, lines
and surfaces are the subject of chapter 3; of the latter, only
quadrics are studied, to keep the discussion at an elementary
level, but the interested reader is guided to the literature on
splines. The concept of affine transformations, at the core of CAD
software, is introduced in chapter 4, which includes applications
of these transformations to the synthesis of curves and surfaces
that would be extremely cumbersome to produce otherwise. The book,
catering to various disciplines such as engineering, graphic
design, animation and architecture, is kept discipline-independent,
while including examples of interest to the various disciplines.
Furthermore, the book can be an invaluable complement to
undergraduate lectures on CAD.
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