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Author : Aubrey Hampton Payne
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (388 download)
Download or read book Collineation Groups and Metric Geometry in the Plane written by Aubrey Hampton Payne and published by . This book was released on 1949 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ulysses Grant Mitchell
Publisher :
ISBN 13 :
Total Pages : 62 pages
Book Rating : 4.:/5 (1 download)
Download or read book Geometry and Collineation Groups of the Finite Projective Plane PG (2,22) ... written by Ulysses Grant Mitchell and published by . This book was released on 1910 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Daniel R. Hughes
Publisher :
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.3/5 (91 download)
Download or read book Review of Some Results in Collineation Groups written by Daniel R. Hughes and published by . This book was released on 1959 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hans Freudenthal
Publisher : Elsevier
ISBN 13 : 1483184641
Total Pages : 217 pages
Book Rating : 4.4/5 (831 download)
Download or read book Algebraical and Topological Foundations of Geometry written by Hans Freudenthal and published by Elsevier. This book was released on 2014-05-09 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraical and Topological Foundations of Geometry contains the proceedings of the Colloquium on Algebraic and Topological Foundations of Geometry, held in Utrecht, the Netherlands in August 1959. The papers review the algebraical and topological foundations of geometry and cover topics ranging from the geometric algebra of the Möbius plane to the theory of parallels with applications to closed geodesies. Groups of homeomorphisms and topological descriptive planes are also discussed. Comprised of 26 chapters, this book introduces the reader to the theory of parallels with applications to closed geodesies; groups of homeomorphisms; complemented modular lattices; and topological descriptive planes. Subsequent chapters focus on collineation groups; exceptional algebras and exceptional groups; the connection between algebra and constructions with ruler and compasses; and the use of differential geometry and analytic group theory methods in foundations of geometry. Von Staudt projectivities of Moufang planes are also considered, and an axiomatic treatment of polar geometry is presented. This monograph will be of interest to students of mathematics.
Author : M. J. Kallaher
Publisher : North-Holland
ISBN 13 :
Total Pages : 184 pages
Book Rating : 4.:/5 (44 download)
Download or read book Affine Planes with Transitive Collineation Groups written by M. J. Kallaher and published by North-Holland. This book was released on 1982 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R. Lingenberg
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.:/5 (44 download)
Download or read book Metric Planes and Metric Vector Spaces written by R. Lingenberg and published by John Wiley & Sons. This book was released on 1979-07-09 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Devoted to a domain of plane geometry, defining not only concepts of incidence but also metric concepts such as orthogonality or reflection. Verifies the interrelationships of three theories showing how they are different representations of a single, unified theory. These include a purely geometric theory based on the concept of incidence structures with orthogonality or with reflections, mainly as a treatment of Euclidean and non-Euclidean planes and certain subplanes of these planes; a theory of three-dimensional metric vector spaces with their natural geometric interpretation; and a theory of special types of S-groups and their group planes.
Author : Alexander Pott
Publisher : Springer
ISBN 13 : 3540491821
Total Pages : 185 pages
Book Rating : 4.5/5 (44 download)
Download or read book Finite Geometry and Character Theory written by Alexander Pott and published by Springer. This book was released on 2006-11-14 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: Difference sets are of central interest in finite geometry and design theory. One of the main techniques to investigate abelian difference sets is a discrete version of the classical Fourier transform (i.e., character theory) in connection with algebraic number theory. This approach is described using only basic knowledge of algebra and algebraic number theory. It contains not only most of our present knowledge about abelian difference sets, but also gives applications of character theory to projective planes with quasiregular collineation groups. Therefore, the book is of interest both to geometers and mathematicians working on difference sets. Moreover, the Fourier transform is important in more applied branches of discrete mathematics such as coding theory and shift register sequences.
Author : D. R. Hughes
Publisher :
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.3/5 (91 download)
Download or read book Collineation Groups of Non-Desarguesian Planes II. written by D. R. Hughes and published by . This book was released on 1959 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Francis Buekenhout
Publisher : North-Holland
ISBN 13 :
Total Pages : 1440 pages
Book Rating : 4.3/5 (91 download)
Download or read book Handbook of Incidence Geometry written by Francis Buekenhout and published by North-Holland. This book was released on 1995 with total page 1440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hardbound. This Handbook deals with the foundations of incidence geometry, in relationship with division rings, rings, algebras, lattices, groups, topology, graphs, logic and its autonomous development from various viewpoints. Projective and affine geometry are covered in various ways. Major classes of rank 2 geometries such as generalized polygons and partial geometries are surveyed extensively.More than half of the book is devoted to buildings at various levels of generality, including a detailed and original introduction to the subject, a broad study of characterizations in terms of points and lines, applications to algebraic groups, extensions to topological geometry, a survey of results on diagram geometries and nearby generalizations such as matroids.
Author : Hans Frederik Blichfeldt
Publisher :
ISBN 13 :
Total Pages : 216 pages
Book Rating : 4.:/5 (5 download)
Download or read book Finite Collineation Groups written by Hans Frederik Blichfeldt and published by . This book was released on 1917 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Abraham Adrian Albert
Publisher : Courier Dover Publications
ISBN 13 : 0486801357
Total Pages : 116 pages
Book Rating : 4.4/5 (868 download)
Download or read book An Introduction to Finite Projective Planes written by Abraham Adrian Albert and published by Courier Dover Publications. This book was released on 2014-12-16 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geared toward both beginning and advanced undergraduate and graduate students, this self-contained treatment offers an elementary approach to finite projective planes. Following a review of the basics of projective geometry, the text examines finite planes, field planes, and coordinates in an arbitrary plane. Additional topics include central collineations and the little Desargues' property, the fundamental theorem, and examples of finite non-Desarguesian planes. Virtually no knowledge or sophistication on the part of the student is assumed, and every algebraic system that arises is defined and discussed as necessary. Many exercises appear throughout the book, offering significant tools for understanding the subject as well as developing the mathematical methods needed for its study. References and a helpful appendix on the Bruck-Ryser theorem conclude the text.
Author : Heinrich Walter Guggenheimer
Publisher :
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.:/5 (44 download)
Download or read book Plane Geometry and Its Groups written by Heinrich Walter Guggenheimer and published by . This book was released on 1967 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Herbert Busemann
Publisher : Courier Corporation
ISBN 13 : 0486154696
Total Pages : 350 pages
Book Rating : 4.4/5 (861 download)
Download or read book Projective Geometry and Projective Metrics written by Herbert Busemann and published by Courier Corporation. This book was released on 2012-11-14 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Christopher Baltus
Publisher : Springer Nature
ISBN 13 : 3030462870
Total Pages : 187 pages
Book Rating : 4.0/5 (34 download)
Download or read book Collineations and Conic Sections written by Christopher Baltus and published by Springer Nature. This book was released on 2020-09-01 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume combines an introduction to central collineations with an introduction to projective geometry, set in its historical context and aiming to provide the reader with a general history through the middle of the nineteenth century. Topics covered include but are not limited to: The Projective Plane and Central Collineations The Geometry of Euclid's Elements Conic Sections in Early Modern Europe Applications of Conics in History With rare exception, the only prior knowledge required is a background in high school geometry. As a proof-based treatment, this monograph will be of interest to those who enjoy logical thinking, and could also be used in a geometry course that emphasizes projective geometry.
Author : Richard Lewis Roth
Publisher :
ISBN 13 :
Total Pages : 156 pages
Book Rating : 4.:/5 (35 download)
Download or read book Collineation Groups of Finite Projective Planes written by Richard Lewis Roth and published by . This book was released on 1963 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Heinrich Behnke
Publisher : MIT Press
ISBN 13 : 9780262020695
Total Pages : 708 pages
Book Rating : 4.0/5 (26 download)
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.
Author : Vialar Thierry
Publisher : BoD - Books on Demand
ISBN 13 : 2955199052
Total Pages : 1134 pages
Book Rating : 4.9/5 (551 download)
Download or read book Handbook of Mathematics written by Vialar Thierry and published by BoD - Books on Demand. This book was released on 2023-08-22 with total page 1134 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book, revised, consists of XI Parts and 28 Chapters covering all areas of mathematics. It is a tool for students, scientists, engineers, students of many disciplines, teachers, professionals, writers and also for a general reader with an interest in mathematics and in science. It provides a wide range of mathematical concepts, definitions, propositions, theorems, proofs, examples, and numerous illustrations. The difficulty level can vary depending on chapters, and sustained attention will be required for some. The structure and list of Parts are quite classical: I. Foundations of Mathematics, II. Algebra, III. Number Theory, IV. Geometry, V. Analytic Geometry, VI. Topology, VII. Algebraic Topology, VIII. Analysis, IX. Category Theory, X. Probability and Statistics, XI. Applied Mathematics. Appendices provide useful lists of symbols and tables for ready reference. Extensive cross-references allow readers to find related terms, concepts and items (by page number, heading, and objet such as theorem, definition, example, etc.). The publisher’s hope is that this book, slightly revised and in a convenient format, will serve the needs of readers, be it for study, teaching, exploration, work, or research.
