Affine And Projective Geometry


Affine And Projective Geometry
Author: M. K. Bennett
Publisher: John Wiley & Sons
ISBN: 1118030826
Size: 37.38 MB
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Affine And Projective Geometry

Affine And Projective Geometry by M. K. Bennett, Affine And Projective Geometry Books available in PDF, EPUB, Mobi Format. Download Affine And Projective Geometry books, An important new perspective on AFFINE AND PROJECTIVEGEOMETRY This innovative book treats math majors and math education studentsto a fresh look at affine and projective geometry from algebraic,synthetic, and lattice theoretic points of view. Affine and Projective Geometry comes complete with ninetyillustrations, and numerous examples and exercises, coveringmaterial for two semesters of upper-level undergraduatemathematics. The first part of the book deals with the correlationbetween synthetic geometry and linear algebra. In the second part,geometry is used to introduce lattice theory, and the bookculminates with the fundamental theorem of projectivegeometry. While emphasizing affine geometry and its basis in Euclideanconcepts, the book: * Builds an appreciation of the geometric nature of linear algebra * Expands students' understanding of abstract algebra with itsnontraditional, geometry-driven approach * Demonstrates how one branch of mathematics can be used to provetheorems in another * Provides opportunities for further investigation of mathematicsby various means, including historical references at the ends ofchapters Throughout, the text explores geometry's correlation to algebra inways that are meant to foster inquiry and develop mathematicalinsights whether or not one has a background in algebra. Theinsight offered is particularly important for prospective secondaryteachers who must major in the subject they teach to fulfill thelicensing requirements of many states. Affine and ProjectiveGeometry's broad scope and its communicative tone make it an idealchoice for all students and professionals who would like to furthertheir understanding of things mathematical.


Affine and Projective Geometry
Language: un
Pages: 248
Authors: M. K. Bennett
Categories: Mathematics
Type: BOOK - Published: 2011-02-14 - Publisher: John Wiley & Sons
An important new perspective on AFFINE AND PROJECTIVEGEOMETRY This innovative book treats math majors and math education studentsto a fresh look at affine and projective geometry from algebraic,synthetic, and lattice theoretic points of view. Affine and Projective Geometry comes complete with ninetyillustrations, and numerous examples and exercises, coveringmaterial for two
Projective Geometry and Projective Metrics
Language: un
Pages: 352
Authors: Herbert Busemann, Paul J. Kelly
Categories: Mathematics
Type: BOOK - Published: 2012-11-14 - Publisher: Courier Corporation
This text examines the 3 classical geometries and their relationship to general geometric structures, with particular focus on affine geometry, projective metrics, non-Euclidean geometry, and spatial geometry. 1953 edition.
Lectures on Analytic and Projective Geometry
Language: un
Pages: 304
Authors: Dirk J. Struik
Categories: Mathematics
Type: BOOK - Published: 2014-03-05 - Publisher: Courier Corporation
This undergraduate text develops the geometry of plane and space, leading up to conics and quadrics, within the context of metrical, affine, and projective transformations. 1953 edition.
Affine and Projective Geometry
Language: un
Pages: 162
Authors: Dirk J. Struik
Categories: Algebra
Type: BOOK - Published: 2002 - Publisher:
Books about Affine and Projective Geometry
Affine Manifolds and Projective Geometry on Surfaces
Language: un
Pages: 72
Authors: William Mark Goldman
Categories: Geometry, Affine
Type: BOOK - Published: 1977 - Publisher:
Books about Affine Manifolds and Projective Geometry on Surfaces
Projective Geometry and Algebraic Structures
Language: un
Pages: 232
Authors: R. J. Mihalek
Categories: Mathematics
Type: BOOK - Published: 2014-05-10 - Publisher: Academic Press
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
Affine and Projective Planes
Language: un
Pages: 136
Authors: Abraham Pascoe
Categories: Combinatorial geometry
Type: BOOK - Published: 2018 - Publisher:
In this thesis, we investigate affine and projective geometries. An affine geometry is an incidence geometry where for every line and every point not incident to it, there is a unique line parallel to the given line. Affine geometry is a generalization of the Euclidean geometry studied in high school.
Geometry
Language: un
Pages: 361
Authors: Michele Audin
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media
Geometry, this very ancient field of study of mathematics, frequently remains too little familiar to students. Michle Audin, professor at the University of Strasbourg, has written a book allowing them to remedy this situation and, starting from linear algebra, extend their knowledge of affine, Euclidean and projective geometry, conic sections
Projective Geometry and Modern Algebra
Language: un
Pages: 208
Authors: Lars Kadison, Matthias T. Kromann
Categories: Mathematics
Type: BOOK - Published: 1996-01-26 - Publisher: Springer Science & Business Media
This work serves as an introduction to the theory of projective geometry. Techniques and concepts of modern algebra are presented for their role in the study of projective geometry. Topics covered include: affine and projective planes; homogeneous co-ordinates; and Desargues' theorem.
Linear Algebra and Projective Geometry
Language: en
Pages: 336
Authors: Reinhold Baer
Categories: Mathematics
Type: BOOK - Published: 2005-08-23 - Publisher: Courier Corporation
Originally published: New York: Academic Press, 1952, in series: Pure and applied mathematics (Academic Press); v. 2.