Geometry, Perspective Drawing, And Mechanisms

Автор: Donald Row, Talmage James Reid

Език:

Корици: С твърди корици

Издател: World Scientific Publishing Co Pte Ltd

Наличност: Външен склад

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The aim of this book is to examine the geometry of our world and, by blending theory with a variety...

Информация за книгата

Автор

Donald Row, Talmage James Reid

Език

Английски език

Корици

Книга - С твърди корици

Издадена

2011

страници

340

EAN

9789814343824

ISBN

981434382X

Enbook ID

05070441

Издател

World Scientific Publishing Co Pte Ltd

Теглоt

616

Размери

173 x 237 x 23

Пълно описание

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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