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Collinearity Preserving Functions Between Desarguesian Planes
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Book Synopsis Collinearity-Preserving Functions between Desarguesian Planes by : David S. Carter
Download or read book Collinearity-Preserving Functions between Desarguesian Planes written by David S. Carter and published by American Mathematical Soc.. This book was released on 1980 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using concepts from valuation theory, we obtain a characterization of all collinearity-preserving functions from one affine or projective Desarguesian plane into another. The case in which the planes are projective and the range contains a quadrangle has been treated previously in the literature. Our results permit one or both planes to be affine and include cases where the range contains a triangle but no quadrangle. A key theorem is that, with the exception of certain embeddings defined on planes of order 2 and 3, every collinearity-preserving function from one affine Desarguesian plane into another can be extended to a collinearity-preserving function between enveloping projective planes.
Download or read book Rings and Geometry written by R. Kaya and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: When looking for applications of ring theory in geometry, one first thinks of algebraic geometry, which sometimes may even be interpreted as the concrete side of commutative algebra. However, this highly de veloped branch of mathematics has been dealt with in a variety of mono graphs, so that - in spite of its technical complexity - it can be regarded as relatively well accessible. While in the last 120 years algebraic geometry has again and again attracted concentrated interes- which right now has reached a peak once more - , the numerous other applications of ring theory in geometry have not been assembled in a textbook and are scattered in many papers throughout the literature, which makes it hard for them to emerge from the shadow of the brilliant theory of algebraic geometry. It is the aim of these proceedings to give a unifying presentation of those geometrical applications of ring theo~y outside of algebraic geometry, and to show that they offer a considerable wealth of beauti ful ideas, too. Furthermore it becomes apparent that there are natural connections to many branches of modern mathematics, e. g. to the theory of (algebraic) groups and of Jordan algebras, and to combinatorics. To make these remarks more precise, we will now give a description of the contents. In the first chapter, an approach towards a theory of non-commutative algebraic geometry is attempted from two different points of view.
Download or read book Mathematics Magazine written by and published by . This book was released on 1982 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Catalogue, Books and Journals in Advanced Mathematics by : American Mathematical Society
Download or read book Catalogue, Books and Journals in Advanced Mathematics written by American Mathematical Society and published by . This book was released on 1985 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis American Book Publishing Record by :
Download or read book American Book Publishing Record written by and published by R. R. Bowker. This book was released on 1982-04 with total page 1360 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Pacific Journal of Mathematics written by and published by . This book was released on 1982 with total page 1022 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Pure and Applied Science Books, 1876-1982 by :
Download or read book Pure and Applied Science Books, 1876-1982 written by and published by . This book was released on 1982 with total page 1374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over 220,000 entries representing some 56,000 Library of Congress subject headings. Covers all disciplines of science and technology, e.g., engineering, agriculture, and domestic arts. Also contains at least 5000 titles published before 1876. Has many applications in libraries, information centers, and other organizations concerned with scientific and technological literature. Subject index contains main listing of entries. Each entry gives cataloging as prepared by the Library of Congress. Author/title indexes.
Download or read book Travaux de Mathématiques written by and published by . This book was released on 1992 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Notices of the American Mathematical Society by : American Mathematical Society
Download or read book Notices of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1973 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains articles of significant interest to mathematicians, including reports on current mathematical research.
Book Synopsis Associations' Publications in Print by :
Download or read book Associations' Publications in Print written by and published by . This book was released on 1981 with total page 1176 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1981- in 2 v.: v.1, Subject index; v.2, Title index, Publisher/title index, Association name index, Acronym index, Key to publishers' and distributors' abbreviations.
Book Synopsis Samskrá um erlendan ritauka íslenzkra rannsóknarbókasafna by :
Download or read book Samskrá um erlendan ritauka íslenzkra rannsóknarbókasafna written by and published by . This book was released on 1978 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Karl der Grosse und sein Nachwirken: Mathematisches Wissen by : Paul Leo Butzer
Download or read book Karl der Grosse und sein Nachwirken: Mathematisches Wissen written by Paul Leo Butzer and published by . This book was released on 1997 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Library of Congress Catalogs by : Library of Congress
Download or read book Library of Congress Catalogs written by Library of Congress and published by . This book was released on 1981 with total page 1030 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Orthogonality and Spacetime Geometry by : Robert Goldblatt
Download or read book Orthogonality and Spacetime Geometry written by Robert Goldblatt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines the geometrical notion of orthogonality, and shows how to use it as the primitive concept on which to base a metric structure in affine geometry. The subject has a long history, and an extensive literature, but whatever novelty there may be in the study presented here comes from its focus on geometries hav ing lines that are self-orthogonal, or even singular (orthogonal to all lines). The most significant examples concern four-dimensional special-relativistic spacetime (Minkowskian geometry), and its var ious sub-geometries, and these will be prominent throughout. But the project is intended as an exercise in the foundations of geome try that does not presume a knowledge of physics, and so, in order to provide the appropriate intuitive background, an initial chapter has been included that gives a description of the different types of line (timelike, spacelike, lightlike) that occur in spacetime, and the physical meaning of the orthogonality relations that hold between them. The coordinatisation of affine spaces makes use of constructions from projective geometry, including standard results about the ma trix represent ability of certain projective transformations (involu tions, polarities). I have tried to make the work sufficiently self contained that it may be used as the basis for a course at the ad vanced undergraduate level, assuming only an elementary knowledge of linear and abstract algebra.
Download or read book Projective Geometry written by Rey Casse and published by OUP Oxford. This book was released on 2006-08-03 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This lucid and accessible text provides an introductory guide to projective geometry, an area of mathematics concerned with the properties and invariants of geometric figures under projection. Including numerous worked examples and exercises throughout, the book covers axiomatic geometry, field planes and PG(r, F), coordinatising a projective plane, non-Desarguesian planes, conics and quadrics in PG(3, F). Assuming familiarity with linear algebra, elementary group theory, partial differentiation and finite fields, as well as some elementary coordinate geometry, this text is ideal for 3rd and 4th year mathematics undergraduates.
Book Synopsis Affine and Projective Geometry by : M. K. Bennett
Download or read book Affine and Projective Geometry written by M. K. Bennett and published by John Wiley & Sons. This book was released on 2011-02-14 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Projective and Polar Spaces by : Peter Jephson Cameron
Download or read book Projective and Polar Spaces written by Peter Jephson Cameron and published by . This book was released on 1992 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: