You currently don’t have access to this book, however you Consequently, sets of … affine geometry. This is an encyclopedia, not a text-book … AMS Member Price: $73.60 List Price: $92.00 Metric Affine Geometry focuses on linear algebra, which is the source for the axiom systems of all affine and projective geometries, both metric and nonmetric. Part of the Universitext book series (UTX) Abstract An affine space is a set of points; it contains lines, etc. An important new perspective on AFFINE AND PROJECTIVE GEOMETRYThis 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 … In Euclidean geometry, an affine transformation, or an affinity, is a geometric transformation that preserves lines and parallelism. Ideals Defining the Jacobian Condition. This book provides a systematic introduction to various geometries, including Euclidean, affine, projective, spherical, and hyperbolic geometries. This article failed to inform me of what affine geometry is, as it is explained in terms of affine geometry and other geometries in a roundabout of unilluminating self-references. University of Cantabria, Santander, Spain, https://www.ams.org/exam-desk-review-request?&eisbn=978-0-8218-7959-7&pisbn=978-0-8218-3476-3&epc=CONM/369.E&ppc=CONM/369&title=Affine%20Algebraic%20Geometry&author=Jaime%20Gutierrez%3B%20Vladimir%20Shpilrain%3B%20Jie-Tai%20Yu&type=R, https://www.copyright.com/openurl.do?isbn=9780821834763&WT.mc.id=American%20Mathematical%20Society, Open problems in affine algebraic geometry (collected by G. Freudenburg and P. Russell), Purely inseparable k-forms of affine algebraic curves, Generic fibrations by A1 and A* over discrete valuation rings, Coordinates in ideals of polynomial algebras, On the uniqueness of C*-actions on affine surfaces, On two recent views of the Jacobian Conjecture, Singularities on normal affine 3-folds containing A1-cylinderlike open subsets, Equivariant cancellation for algebraic varieties, Constructing polynomial mappings using non-commutative algebras, Test polynomials, retracts, and the Jacobian conjecture, The Jacobian Conjecture: ideal membership questions and recent advances, 2. 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 of these, the language of affine geometry, is the one which appeals most closely to our intuitive ideas of geometry. Electronic ISBN: 978-0-8218-7959-7 Browse other questions tagged euclidean-geometry book-recommendation affine-geometry projection or ask your own question. This book explains the following topics: Systems of algebraic equations, Affine algebraic sets, Morphisms of affine algebraic varieties, Irreducible algebraic sets and rational functions, Projective algebraic varieties, Morphisms of projective algebraic varieties, Quasi-projective algebraic sets, The image of a projective algebraic set, Finite regular maps, … Also included is a chapter on infinite-dimensional generalizations of Euclidean and affine geometries. Metric affine geometry / … Geometry, this very ancient field of study of mathematics, frequently remains too little familiar to students. Spedizione gratuita per ordini superiori a 25 euro. Affine and Projective Geometry comes complete with ninetyillustrations, and numerous examples and exercises, coveringmaterial for two semesters of upper-level undergraduatemathematics. 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