Affine And Projective Geometry


Affine And Projective Geometry
Author: M. K. Bennett
Publisher: John Wiley & Sons
ISBN: 1118030826
Size: 66.86 MB
Format: PDF, ePub
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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provetheorems in another * Provides opportunities for further investigation of mathematicsby various means, including historical references at the ends ofchapters Throughout, the text explores geometry's correlation to algebra inways that are meant to foster inquiry and develop mathematicalinsights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: en
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: en
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.
Linear Algebra and Projective Geometry
Language: en
Pages: 336
Authors: Reinhold Baer
Categories: Mathematics
Type: BOOK - Published: 2012-06-11 - Publisher: Courier Corporation
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.
Lectures on Analytic and Projective Geometry
Language: en
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.
Geometry
Language: en
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 Algebraic Structures
Language: en
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
Euclidean and Non-Euclidean Geometry International Student Edition
Language: en
Pages: 232
Authors: Patrick J. Ryan
Categories: Mathematics
Type: BOOK - Published: 2009-09-04 - Publisher: Cambridge University Press
This book gives a rigorous treatment of the fundamentals of plane geometry: Euclidean, spherical, elliptical and hyperbolic.
Foundations of Incidence Geometry
Language: en
Pages: 248
Authors: Johannes Ueberberg
Categories: Mathematics
Type: BOOK - Published: 2011-08-26 - Publisher: Springer Science & Business Media
Incidence geometry is a central part of modern mathematics that has an impressive tradition. The main topics of incidence geometry are projective and affine geometry and, in more recent times, the theory of buildings and polar spaces. Embedded into the modern view of diagram geometry, projective and affine geometry including
Fundamental Structures of Algebra and Discrete Mathematics
Language: en
Pages: 344
Authors: Stephan Foldes
Categories: Mathematics
Type: BOOK - Published: 2011-02-14 - Publisher: John Wiley & Sons
Introduces and clarifies the basic theories of 12 structural concepts, offering a fundamental theory of groups, rings and other algebraic structures. Identifies essentials and describes interrelationships between particular theories. Selected classical theorems and results relevant to current research are proved rigorously within the theory of each structure. Throughout the text
Geometric Methods and Applications
Language: en
Pages: 680
Authors: Jean Gallier
Categories: Mathematics
Type: BOOK - Published: 2011-06-04 - Publisher: Springer Science & Business Media
This book is an introduction to the fundamental concepts and tools needed for solving problems of a geometric nature using a computer. It attempts to fill the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision, robotics, or machine learning. This book