Linear Algebra and Projective Geometry PDF Download
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Author: Reinhold Baer
Publisher: Courier Corporation
ISBN: 0486154661
Category : Mathematics
Languages : en
Pages : 338
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Book Description
Geared toward upper-level undergraduates and graduate students, this text establishes that projective geometry and linear algebra are essentially identical. The supporting evidence consists of theorems offering an algebraic demonstration of certain geometric concepts. 1952 edition.
Author: P. S. Modenov
Publisher: Academic Press
ISBN: 1483261492
Category : Mathematics
Languages : en
Pages : 149
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Book Description
Geometric Transformations, Volume 2: Projective Transformations focuses on collinearity-preserving transformations of the projective plane. The book first offers information on projective transformations, as well as the concept of a projective plane, definition of a projective mapping, fundamental theorems on projective transformations, cross ratio, and harmonic sets. Examples of projective transformations, projective transformations in coordinates, quadratic curves in the projective plane, and projective transformations of space are also discussed. The text then examines inversion, including the power of a point with respect to a circle, definition and properties of inversion, and circle transformations and the fundamental theorem. The manuscript elaborates on the principle of duality. The manuscript is designed for use in geometry seminars in universities and teacher-training colleges. The text can also be used as supplementary reading by high school teachers who want to extend their range of knowledge on projective transformations.
Author: Henry Byron Newson
Publisher:
ISBN:
Category : History
Languages : en
Pages : 64
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Book Description
Author: Henry Byron Newson
Publisher:
ISBN:
Category : Collineation
Languages : en
Pages : 26
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Book Description
Author: Petr Sergeevich Modenov
Publisher:
ISBN:
Category : Geometry, Algebraic
Languages : en
Pages : 152
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Book Description
Author: Elisabetta Fortuna
Publisher: Springer
ISBN: 3319428241
Category : Mathematics
Languages : en
Pages : 275
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Book Description
This book starts with a concise but rigorous overview of the basic notions of projective geometry, using straightforward and modern language. The goal is not only to establish the notation and terminology used, but also to offer the reader a quick survey of the subject matter. In the second part, the book presents more than 200 solved problems, for many of which several alternative solutions are provided. The level of difficulty of the exercises varies considerably: they range from computations to harder problems of a more theoretical nature, up to some actual complements of the theory. The structure of the text allows the reader to use the solutions of the exercises both to master the basic notions and techniques and to further their knowledge of the subject, thus learning some classical results not covered in the first part of the book. The book addresses the needs of undergraduate and graduate students in the theoretical and applied sciences, and will especially benefit those readers with a solid grasp of elementary Linear Algebra.
Author: Reinhold Baer
Publisher: Courier Corporation
ISBN: 0486154661
Category : Mathematics
Languages : en
Pages : 338
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Book Description
Geared toward upper-level undergraduates and graduate students, this text establishes that projective geometry and linear algebra are essentially identical. The supporting evidence consists of theorems offering an algebraic demonstration of certain geometric concepts. 1952 edition.
Author: Claude E. Stout
Publisher:
ISBN:
Category :
Languages : en
Pages : 104
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Book Description
Author: Alfred North Whitehead
Publisher:
ISBN:
Category : Axiomas
Languages : en
Pages : 108
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Book Description
Author: Norman W. Johnson
Publisher: Cambridge University Press
ISBN: 1107103401
Category : Mathematics
Languages : en
Pages : 455
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Book Description
A readable exposition of how Euclidean and other geometries can be distinguished using linear algebra and transformation groups.
Author: Sumanta Guha
Publisher: CRC Press
ISBN: 1482258404
Category : Computers
Languages : en
Pages : 928
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Book Description
From geometric primitives to animation to 3D modeling to lighting, shading, and texturing, Computer Graphics Through OpenGL: From Theory to Experiments, Second Edition presents a comprehensive introduction to computer graphics that uses an active learning style to teach key concepts. Equally emphasizing theory and practice, the book provides an und
