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Foundations Of Translation Planes
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Book Synopsis Foundations of Translation Planes by : Mauro Biliotti
Download or read book Foundations of Translation Planes written by Mauro Biliotti and published by CRC Press. This book was released on 2001-07-13 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exploration of the construction and analysis of translation planes to spreads, partial spreads, co-ordinate structures, automorphisms, autotopisms, and collineation groups. It emphasizes the manipulation of incidence structures by various co-ordinate systems, including quasisets, spreads and matrix spreadsets. The volume showcases methods of structure theory as well as tools and techniques for the construction of new planes.
Book Synopsis Translation Planes by : Norbert Knarr
Download or read book Translation Planes written by Norbert Knarr and published by Springer. This book was released on 2006-11-14 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book discusses various construction principles for translation planes and spreads from a general and unifying point of view and relates them to the theory of kinematic spaces. The book is intended for people working in the field of incidence geometry and can be read by everyone who knows the basic facts about projective and affine planes. The methods developed work especially well for topological spreads of real and complex vector spaces. In particular, a complete classification of all semifield spreads of finite dimensional complex vector spaces is obtained.
Book Synopsis Handbook of Finite Translation Planes by : Norman Johnson
Download or read book Handbook of Finite Translation Planes written by Norman Johnson and published by CRC Press. This book was released on 2007-02-15 with total page 884 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Finite Translation Planes provides a comprehensive listing of all translation planes derived from a fundamental construction technique, an explanation of the classes of translation planes using both descriptions and construction methods, and thorough sketches of the major relevant theorems. From the methods of Andre to coordi
Book Synopsis Translation Planes by : Norbert Knarr
Download or read book Translation Planes written by Norbert Knarr and published by . This book was released on 2014-01-15 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Geometry of Derivation with Applications by : Norman L. Johnson
Download or read book Geometry of Derivation with Applications written by Norman L. Johnson and published by CRC Press. This book was released on 2023-06-06 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry of Derivation with Applications is the fifth work in a longstanding series of books on combinatorial geometry (Subplane Covered Nets, Foundations of Translation Planes, Handbook of Finite Translation Planes, and Combinatorics of Spreads and Parallelisms). Like its predecessors, this book will primarily deal with connections to the theory of derivable nets and translation planes in both the finite and infinite cases. Translation planes over non-commutative skewfields have not traditionally had a significant representation in incidence geometry, and derivable nets over skewfields have only been marginally understood. Both are deeply examined in this volume, while ideas of non-commutative algebra are also described in detail, with all the necessary background given a geometric treatment. The book builds upon over twenty years of work concerning combinatorial geometry, charted across four previous books and is suitable as a reference text for graduate students and researchers. It contains a variety of new ideas and generalizations of established work in finite affine geometry and is replete with examples and applications.
Book Synopsis Finite Translation Planes by : Theodore G. Ostrom
Download or read book Finite Translation Planes written by Theodore G. Ostrom and published by . This book was released on 2014-01-15 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Unitals in Projective Planes by : Susan Barwick
Download or read book Unitals in Projective Planes written by Susan Barwick and published by Springer Science & Business Media. This book was released on 2009-04-03 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a monograph on unitals embedded in ?nite projective planes. Unitals are an interesting structure found in square order projective planes, and numerous research articles constructing and discussing these structures have appeared in print. More importantly, there still are many open pr- lems, and this remains a fruitful area for Ph.D. dissertations. Unitals play an important role in ?nite geometry as well as in related areas of mathematics. For example, unitals play a parallel role to Baer s- planes when considering extreme values for the size of a blocking set in a square order projective plane (see Section 2.3). Moreover, unitals meet the upper bound for the number of absolute points of any polarity in a square order projective plane (see Section 1.5). From an applications point of view, the linear codes arising from unitals have excellent technical properties (see 2 Section 6.4). The automorphism group of the classical unitalH =H(2,q ) is 2-transitive on the points ofH, and so unitals are of interest in group theory. In the ?eld of algebraic geometry over ?nite ?elds,H is a maximal curve that contains the largest number of F -rational points with respect to its genus, 2 q as established by the Hasse-Weil bound.
Download or read book Translation Planes written by H. Lüneburg and published by Springer. This book was released on 1980-07 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wir unterhielten uns einmal dariiber, daB man sich in einer fremden Sprache nur unfrei ausdriicken kann und im Zweifelsfall lieber das sagt, was man richtig und einwandfrei zu sagen hofft, als das, was man eigentlich sagen will. Molnar nickte bestatigend: "Es ist sehr traurig", resiimierte er. "Ich habe oft mitten im Satz meine Weltanschauung andem miissen . . . " Friedrich Torberg, Die Tante Jolesch The last two decades have witnessed great progress in the theory of translation planes. Being interested in, and having worked a little on this subject, I felt the need to clarify for myself what had been happening in this area of mathematics. Thus I lectured about it for several semesters and, at the same time, I wrote what is now this book. It is my very personal view of the story, which means that I selected mainly those topics I had touched upon in my own investigations. Thus finite translation planes are the main the~ of the book. Infinite translation planes, however, are not completely disregarded. As all theory aims at the mastering of the examples, these play a central role in this book. I believe that this fact will be welcomed by many people. However, it is not a beginner's book of geometry. It presupposes consider able knowledge of projective planes and algebra, especially group theory. The books by Gorenstein, Hughes and Piper, Huppert, Passman, and Pickert mentioned in the bibliography will help to fill any gaps the reader may have.
Book Synopsis General Galois Geometries by : James Hirschfeld
Download or read book General Galois Geometries written by James Hirschfeld and published by Springer. This book was released on 2016-02-03 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the second edition of the third and last volume of a treatise on projective spaces over a finite field, also known as Galois geometries. This volume completes the trilogy comprised of plane case (first volume) and three dimensions (second volume). This revised edition includes much updating and new material. It is a mostly self-contained study of classical varieties over a finite field, related incidence structures and particular point sets in finite n-dimensional projective spaces. General Galois Geometries is suitable for PhD students and researchers in combinatorics and geometry. The separate chapters can be used for courses at postgraduate level.
Download or read book Translation Planes written by H. Luneburg and published by . This book was released on 1980-07-01 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Santa Cruz Conference on Finite Groups by : Bruce Cooperstein
Download or read book The Santa Cruz Conference on Finite Groups written by Bruce Cooperstein and published by American Mathematical Soc.. This book was released on 1980 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Finite Geometry and Combinatorial Applications by : Simeon Ball
Download or read book Finite Geometry and Combinatorial Applications written by Simeon Ball and published by Cambridge University Press. This book was released on 2015-07-02 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: A graduate-level introduction to finite geometry and its applications to other areas of combinatorics.
Book Synopsis Finite Translation Planes by : Theodore Gleason Ostrom
Download or read book Finite Translation Planes written by Theodore Gleason Ostrom and published by . This book was released on 1970 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Contributions to the Theory of Finite Translation Planes by : Malyala Lakshmi Narayana Rao
Download or read book Contributions to the Theory of Finite Translation Planes written by Malyala Lakshmi Narayana Rao and published by . This book was released on 1969 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fundamentals of Powder Diffraction and Structural Characterization of Materials by : Vitalij Pecharsky
Download or read book Fundamentals of Powder Diffraction and Structural Characterization of Materials written by Vitalij Pecharsky and published by Springer Science & Business Media. This book was released on 2005-03-03 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: Requires no prior knowledge of the subject, but is comprehensive and detailed making it useful for both the novice and experienced user of the powder diffraction method. Useful for any scientific or engineering background, where precise structural information is required. Comprehensively describes the state-of-the-art in structure determination from powder diffraction data both theoretically and practically using multiple examples of varying complexity. Pays particular attention to the utilization of Internet resources, especially the well-tested and freely available computer codes designed for processing of powder diffraction data.
Book Synopsis The Foundations of Geometry and the Non-Euclidean Plane by : G.E. Martin
Download or read book The Foundations of Geometry and the Non-Euclidean Plane written by G.E. Martin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a text for junior, senior, or first-year graduate courses traditionally titled Foundations of Geometry and/or Non Euclidean Geometry. The first 29 chapters are for a semester or year course on the foundations of geometry. The remaining chap ters may then be used for either a regular course or independent study courses. Another possibility, which is also especially suited for in-service teachers of high school geometry, is to survey the the fundamentals of absolute geometry (Chapters 1 -20) very quickly and begin earnest study with the theory of parallels and isometries (Chapters 21 -30). The text is self-contained, except that the elementary calculus is assumed for some parts of the material on advanced hyperbolic geometry (Chapters 31 -34). There are over 650 exercises, 30 of which are 10-part true-or-false questions. A rigorous ruler-and-protractor axiomatic development of the Euclidean and hyperbolic planes, including the classification of the isometries of these planes, is balanced by the discussion about this development. Models, such as Taxicab Geometry, are used exten sively to illustrate theory. Historical aspects and alternatives to the selected axioms are prominent. The classical axiom systems of Euclid and Hilbert are discussed, as are axiom systems for three and four-dimensional absolute geometry and Pieri's system based on rigid motions. The text is divided into three parts. The Introduction (Chapters 1 -4) is to be read as quickly as possible and then used for ref erence if necessary.
Book Synopsis Fundamentals of Mathematics by : Heinrich Behnke
Download or read book Fundamentals of Mathematics written by Heinrich Behnke and published by MIT Press. This book was released on 1974 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume II of a unique survey of the whole field of pure mathematics.
