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Geometry, Perspective Drawing, And Mechanisms (Hardcover)
Loot Price: R2,212
Discovery Miles 22 120
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Geometry, Perspective Drawing, And Mechanisms (Hardcover)
Expected to ship within 12 - 17 working days
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The aim of this book is to examine the geometry of our world and,
by blending theory with a variety of every-day examples, to
stimulate the imagination of the readers and develop their
geometric intuition. It tries to recapture the excitement that
surrounded geometry during the Renaissance as the development of
perspective drawing gathered pace, or more recently as engineers
sought to show that all the world was a machine. The same
excitement is here still, as enquiring minds today puzzle over a
random-dot stereogram or the interpretation of an image
painstakingly transmitted from Jupiter.The book will give a solid
foundation for a variety of undergraduate courses, to provide a
basis for a geometric component of graduate teacher training, and
to provide background for those who work in computer graphics and
scene analysis. It begins with a self-contained development of the
geometry of extended Euclidean space. This framework is then used
to systematically clarify and develop the art of perspective
drawing and its converse discipline of scene analysis and to
analyze the behavior of bar-and-joint mechanisms and hinged-panel
mechanisms. Spherical polyhedra are introduced and scene analysis
is applied to drawings of these and associated objects. The book
concludes by showing how a natural relaxation of the axioms
developed in the early chapters leads to the concept of a matroid
and briefly examines some of the attractive properties of these
natural structures.
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