Free PDF Affine and Projective Geometry
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Book Details :
Published on: 1995-08-18
Released on:
Original language: English
An important new perspective on AFFINE AND PROJECTIVE GEOMETRY This innovative book treats math majors and math education students to a fresh look at affine and projective geometry from algebraic, synthetic, and lattice theoretic points of view. Affine and Projective Geometry comes complete with ninety illustrations, and numerous examples and exercises, covering material for two semesters of upper-level undergraduate mathematics. The first part of the book deals with the correlation between synthetic geometry and linear algebra. In the second part, geometry is used to introduce lattice theory, and the book culminates with the fundamental theorem of projective geometry. While emphasizing affine geometry and its basis in Euclidean concepts, the book: * Builds an appreciation of the geometric nature of linear algebra * Expands students' understanding of abstract algebra with its nontraditional, geometry-driven approach * Demonstrates how one branch of mathematics can be used to prove theorems in another * Provides opportunities for further investigation of mathematics by various means, including historical references at the ends of chapters Throughout, the text explores geometry's correlation to algebra in ways that are meant to foster inquiry and develop mathematical insights whether or not one has a background in algebra. The insight offered is particularly important for prospective secondary teachers who must major in the subject they teach to fulfill the licensing requirements of many states. Affine and Projective Geometry's broad scope and its communicative tone make it an ideal choice for all students and professionals who would like to further their understanding of things mathematical. The Rising Sea My name is Daniel Murfet I am a Lecturer (aka tenure-track Assistant Professor) in the Mathematics Department at the University of Melbourne and part of the logic group. International Journal of Mathematics (World Scientific) (World Scientific) Contents abstracts from vol.11 (2000). Full text to institutional subscribers. List of geometry topics - Wikipedia This is a list of geometry topics by Wikipedia page. Geometric shape covers standard terms for plane shapes Algebraic Geometry - James Milne Introduction There is almost nothing left to discover in geometry. Descartes March 26 1619 Just as the starting point of linear algebra is the study of the ... Algebraic geometry - Wikipedia Algebraic geometry is a branch of mathematics classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract ... MATHEMATICS - UW Homepage COLLEGE OF ARTS & SCIENCES MATHEMATICS Detailed course offerings (Time Schedule) are available for. Winter Quarter 2017; Spring Quarter 2017; Summer Quarter 2017 Geometry & Topology - Free E-Books Geometry & Topology - list of freely downloadable books at E-Books Directory Affine Function -- from Wolfram MathWorld Affine Function. Affine functions represent vector-valued functions of the form Affine Transformation -- from Wolfram MathWorld Affine Transformation. An affine transformation is any transformation that preserves collinearity (i.e. all points lying on a line initially still lie on a line ... Peter's Functions for Computer Vision MATLAB Functions for Computer Vision and Image Analysis. Functions include: Feature detection from Phase Congruency Edge linking and segment fitting Projective ...
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