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Author : Marta Sved
Publisher : American Mathematical Soc.
ISBN 13 : 1470457288
Total Pages : 182 pages
Book Rating : 4.80/5 ( download)
Download or read book Journey into Geometries written by Marta Sved and published by American Mathematical Soc.. This book was released on 2020-07-31 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Viacheslav V. Nikulin
Publisher : Springer Science & Business Media
ISBN 13 : 9783540152811
Total Pages : 268 pages
Book Rating : 4.14/5 ( download)
Download or read book Geometries and Groups written by Viacheslav V. Nikulin and published by Springer Science & Business Media. This book was released on 1987 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a quite exceptional book, a lively and approachable treatment of an important field of mathematics given in a masterly style. Assuming only a school background, the authors develop locally Euclidean geometries, going as far as the modular space of structures on the torus, treated in terms of Lobachevsky's non-Euclidean geometry. Each section is carefully motivated by discussion of the physical and general scientific implications of the mathematical argument, and its place in the history of mathematics and philosophy. The book is expected to find a place alongside classics such as Hilbert and Cohn-Vossen's "Geometry and the imagination" and Weyl's "Symmetry".
Author : Aart Blokhuis
Publisher : Springer Science & Business Media
ISBN 13 : 9780792369943
Total Pages : 386 pages
Book Rating : 4.47/5 ( download)
Download or read book Finite Geometries written by Aart Blokhuis and published by Springer Science & Business Media. This book was released on 2001-07-31 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: When? These are the proceedings of Finite Geometries, the Fourth Isle of Thorns Conference, which took place from Sunday 16 to Friday 21 July, 2000. It was organised by the editors of this volume. The Third Conference in 1990 was published as Advances in Finite Geometries and Designs by Oxford University Press and the Second Conference in 1980 was published as Finite Geometries and Designs by Cambridge University Press. The main speakers were A. R. Calderbank, P. J. Cameron, C. E. Praeger, B. Schmidt, H. Van Maldeghem. There were 64 participants and 42 contributions, all listed at the end of the volume. Conference web site http://www. maths. susx. ac. uk/Staff/JWPH/ Why? This collection of 21 articles describes the latest research and current state of the art in the following inter-linked areas: • combinatorial structures in finite projective and affine spaces, also known as Galois geometries, in which combinatorial objects such as blocking sets, spreads and partial spreads, ovoids, arcs and caps, as well as curves and hypersurfaces, are all of interest; • geometric and algebraic coding theory; • finite groups and incidence geometries, as in polar spaces, gener alized polygons and diagram geometries; • algebraic and geometric design theory, in particular designs which have interesting symmetric properties and difference sets, which play an important role, because of their close connections to both Galois geometry and coding theory.
Author : Norman W. Johnson
Publisher : Cambridge University Press
ISBN 13 : 1107103401
Total Pages : 455 pages
Book Rating : 4.05/5 ( download)
Download or read book Geometries and Transformations written by Norman W. Johnson and published by Cambridge University Press. This book was released on 2018-06-07 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: A readable exposition of how Euclidean and other geometries can be distinguished using linear algebra and transformation groups.
Author : Arkadij L. Onishchik
Publisher : Springer Science & Business Media
ISBN 13 : 3540356452
Total Pages : 445 pages
Book Rating : 4.55/5 ( download)
Download or read book Projective and Cayley-Klein Geometries written by Arkadij L. Onishchik and published by Springer Science & Business Media. This book was released on 2006-11-22 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an introduction into projective geometry. The first part presents n-dimensional projective geometry over an arbitrary skew field; the real, the complex, and the quaternionic geometries are the central topics, finite geometries playing only a minor part. The second deals with classical linear and projective groups and the associated geometries. The final section summarizes selected results and problems from the geometry of transformation groups.
Author : Gyorgy Kiss
Publisher : CRC Press
ISBN 13 : 1351646389
Total Pages : 274 pages
Book Rating : 4.83/5 ( download)
Download or read book Finite Geometries written by Gyorgy Kiss and published by CRC Press. This book was released on 2019-07-26 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite Geometries stands out from recent textbooks about the subject of finite geometries by having a broader scope. The authors thoroughly explain how the subject of finite geometries is a central part of discrete mathematics. The text is suitable for undergraduate and graduate courses. Additionally, it can be used as reference material on recent works. The authors examine how finite geometries’ applicable nature led to solutions of open problems in different fields, such as design theory, cryptography and extremal combinatorics. Other areas covered include proof techniques using polynomials in case of Desarguesian planes, and applications in extremal combinatorics, plus, recent material and developments. Features: Includes exercise sets for possible use in a graduate course Discusses applications to graph theory and extremal combinatorics Covers coding theory and cryptography Translated and revised text from the Hungarian published version
Author : D. A. Brannan
Publisher :
ISBN 13 : 9781107385283
Total Pages : 497 pages
Book Rating : 4.88/5 ( download)
Download or read book Geometry written by D. A. Brannan and published by . This book was released on 1999 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Viacheslav V. Nikulin
Publisher : Springer Science & Business Media
ISBN 13 : 3642615708
Total Pages : 262 pages
Book Rating : 4.02/5 ( download)
Download or read book Geometries and Groups written by Viacheslav V. Nikulin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the theory of geometries which are locally Euclidean, in the sense that in small regions they are identical to the geometry of the Euclidean plane or Euclidean 3-space. Starting from the simplest examples, we proceed to develop a general theory of such geometries, based on their relation with discrete groups of motions of the Euclidean plane or 3-space; we also consider the relation between discrete groups of motions and crystallography. The description of locally Euclidean geometries of one type shows that these geometries are themselves naturally represented as the points of a new geometry. The systematic study of this new geometry leads us to 2-dimensional Lobachevsky geometry (also called non-Euclidean or hyperbolic geometry) which, following the logic of our study, is constructed starting from the properties of its group of motions. Thus in this book we would like to introduce the reader to a theory of geometries which are different from the usual Euclidean geometry of the plane and 3-space, in terms of examples which are accessible to a concrete and intuitive study. The basic method of study is the use of groups of motions, both discrete groups and the groups of motions of geometries. The book does not presuppose on the part of the reader any preliminary knowledge outside the limits of a school geometry course.
Author : Michael Henle
Publisher : Pearson
ISBN 13 :
Total Pages : 404 pages
Book Rating : 4.36/5 ( download)
Download or read book Modern Geometries written by Michael Henle and published by Pearson. This book was released on 2001 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engaging, accessible, and extensively illustrated, this brief, but solid introduction to modern geometry describes geometry as it is understood and used by contemporary mathematicians and theoretical scientists. Basically non-Euclidean in approach, it relates geometry to familiar ideas from analytic geometry, staying firmly in the Cartesian plane. It uses the principle geometric concept of congruence or geometric transformation--introducing and using the Erlanger Program explicitly throughout. It features significant modern applications of geometry--e.g., the geometry of relativity, symmetry, art and crystallography, finite geometry and computation. Covers a full range of topics from plane geometry, projective geometry, solid geometry, discrete geometry, and axiom systems. For anyone interested in an introduction to geometry used by contemporary mathematicians and theoretical scientists.
Author : Andreas Cap
Publisher : American Mathematical Soc.
ISBN 13 : 0821826816
Total Pages : 643 pages
Book Rating : 4.12/5 ( download)
Download or read book Parabolic Geometries I written by Andreas Cap and published by American Mathematical Soc.. This book was released on 2009 with total page 643 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses the equivalence between Cartan connections and underlying structures, including a complete proof of Kostant's version of the Bott - Borel - Weil theorem, which is used as an important tool. This book provides a description of the geometry and its basic invariants.
