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Projective Geometry and Modern Algebra

1996-01-26 Mathematics
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Release : 1996-01-26
Genre : Mathematics
Kind : eBook
Book Rating : 004/5 ( reviews)

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Book Synopsis Projective Geometry and Modern Algebra by : Lars Kadison

Download or read book Projective Geometry and Modern Algebra written by Lars Kadison. This book was released on 1996-01-26. Available in PDF, EPUB and Kindle. Book excerpt: The techniques and concepts of modern algebra are introduced for their natural role in the study of projectile geometry; groups appear as automorphism groups of configurations, division rings appear in the study of Desargues' theorem and the study of the independence of the seven axioms given for projectile geometry.

Perspectives on Projective Geometry

2011-02-04 Mathematics
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Release : 2011-02-04
Genre : Mathematics
Kind : eBook
Book Rating : 865/5 ( reviews)

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Book Synopsis Perspectives on Projective Geometry by : Jürgen Richter-Gebert

Download or read book Perspectives on Projective Geometry written by Jürgen Richter-Gebert. This book was released on 2011-02-04. Available in PDF, EPUB and Kindle. Book excerpt: Projective geometry is one of the most fundamental and at the same time most beautiful branches of geometry. It can be considered the common foundation of many other geometric disciplines like Euclidean geometry, hyperbolic and elliptic geometry or even relativistic space-time geometry. This book offers a comprehensive introduction to this fascinating field and its applications. In particular, it explains how metric concepts may be best understood in projective terms. One of the major themes that appears throughout this book is the beauty of the interplay between geometry, algebra and combinatorics. This book can especially be used as a guide that explains how geometric objects and operations may be most elegantly expressed in algebraic terms, making it a valuable resource for mathematicians, as well as for computer scientists and physicists. The book is based on the author’s experience in implementing geometric software and includes hundreds of high-quality illustrations.

Projective Geometry and Algebraic Structures

2014-05-10 Mathematics
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Release : 2014-05-10
Genre : Mathematics
Kind : eBook
Book Rating : 20X/5 ( reviews)

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Book Synopsis Projective Geometry and Algebraic Structures by : R. J. Mihalek

Download or read book Projective Geometry and Algebraic Structures written by R. J. Mihalek. This book was released on 2014-05-10. Available in PDF, EPUB and Kindle. Book excerpt: Projective Geometry and Algebraic Structures focuses on the relationship of geometry and algebra, including affine and projective planes, isomorphism, and system of real numbers. The book first elaborates on euclidean, projective, and affine planes, including axioms for a projective plane, algebraic incidence bases, and self-dual axioms. The text then ponders on affine and projective planes, theorems of Desargues and Pappus, and coordination. Topics include algebraic systems and incidence bases, coordinatization theorem, finite projective planes, coordinates, deletion subgeometries, imbedding theorem, and isomorphism. The publication examines projectivities, harmonic quadruples, real projective plane, and projective spaces. Discussions focus on subspaces and dimension, intervals and complements, dual spaces, axioms for a projective space, ordered fields, completeness and the real numbers, real projective plane, and harmonic quadruples. The manuscript is a dependable reference for students and researchers interested in projective planes, system of real numbers, isomorphism, and subspaces and dimensions.

Introduction to Projective Geometry and Modern Algebra

1963 Algebra
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Release : 1963
Genre : Algebra
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Introduction to Projective Geometry and Modern Algebra by : Robert A. Rosenbaum

Download or read book Introduction to Projective Geometry and Modern Algebra written by Robert A. Rosenbaum. This book was released on 1963. Available in PDF, EPUB and Kindle. Book excerpt:

The Four Pillars of Geometry

2005-08-09 Mathematics
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Release : 2005-08-09
Genre : Mathematics
Kind : eBook
Book Rating : 303/5 ( reviews)

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Book Synopsis The Four Pillars of Geometry by : John Stillwell

Download or read book The Four Pillars of Geometry written by John Stillwell. This book was released on 2005-08-09. Available in PDF, EPUB and Kindle. Book excerpt: This book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry, and groups and their invariants Approach makes the subject accessible to readers of all mathematical tastes, from the visual to the algebraic Abundantly supplemented with figures and exercises

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