Download or read book Discontinuous Groups and Automorphic Functions written by Joseph Lehner and published by American Mathematical Soc.. This book was released on 1964-12-31 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Much has been written on the theory of discontinuous groups and automorphic functions since 1880, when the subject received its first formulation. The purpose of this book is to bring together in one place both the classical and modern aspects of the theory, and to present them clearly and in a modern language and notation. The emphasis in this book is on the fundamental parts of the subject. The book is directed to three classes of readers: graduate students approaching the subject for the first time, mature mathematicians who wish to gain some knowledge and understanding of automorphic function theory, and experts.
Download or read book Discontinuous Groups and Riemann Surfaces AM 79 Volume 79 written by Leon Greenberg and published by Princeton University Press. This book was released on 2016-03-02 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Study 79 contains a collection of papers presented at the Conference on Discontinuous Groups and Ricmann Surfaces at the University of Maryland, May 21-25, 1973. The papers, by leading authorities, deal mainly with Fuchsian and Kleinian groups, Teichmüller spaces, Jacobian varieties, and quasiconformal mappings. These topics are intertwined, representing a common meeting of algebra, geometry, and analysis.
Download or read book Deformation Theory of Discontinuous Groups written by Ali Baklouti and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-07-05 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the latest developments of the theory of discontinuous groups acting on homogenous spaces, from basic concepts to a comprehensive exposition. It develops the newest approaches and methods in the deformation theory of topological modules and unitary representations and focuses on the geometry of discontinuous groups of solvable Lie groups and their compact extensions. It also presents proofs of recent results, computes fundamental examples, and serves as an introduction and reference for students and experienced researchers in Lie theory, discontinuous groups, and deformation (and moduli) spaces.
Download or read book Discontinuous Groups of Isometries in the Hyperbolic Plane written by Werner Fenchel and published by Walter de Gruyter. This book was released on 2011-05-12 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introductory textbook on isometry groups of the hyperbolic plane. Interest in such groups dates back more than 120 years. Examples appear in number theory (modular groups and triangle groups), the theory of elliptic functions, and the theory of linear differential equations in the complex domain (giving rise to the alternative name Fuchsian groups). The current book is based on what became known as the famous Fenchel-Nielsen manuscript. Jakob Nielsen (1890-1959) started this project well before World War II, and his interest arose through his deep investigations on the topology of Riemann surfaces and from the fact that the fundamental group of a surface of genus greater than one is represented by such a discontinuous group. Werner Fenchel (1905-1988) joined the project later and overtook much of the preparation of the manuscript. The present book is special because of its very complete treatment of groups containing reversions and because it avoids the use of matrices to represent Moebius maps. This text is intended for students and researchers in the many areas of mathematics that involve the use of discontinuous groups.
Download or read book Surfaces and Planar Discontinuous Groups written by Heiner Zieschang and published by Springer. This book was released on 2006-11-15 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Discontinuous Groups written by K. G. Ramanathan and published by . This book was released on 1963 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introductory Treatise on Lie s Theory of Finite Continuous Transformation Groups written by John Edward Campbell and published by . This book was released on 1903 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Geometry of Discrete Groups written by Alan F. Beardon and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is intended to serve as an introduction to the geometry of the action of discrete groups of Mobius transformations. The subject matter has now been studied with changing points of emphasis for over a hundred years, the most recent developments being connected with the theory of 3-manifolds: see, for example, the papers of Poincare [77] and Thurston [101]. About 1940, the now well-known (but virtually unobtainable) Fenchel-Nielsen manuscript appeared. Sadly, the manuscript never appeared in print, and this more modest text attempts to display at least some of the beautiful geo metrical ideas to be found in that manuscript, as well as some more recent material. The text has been written with the conviction that geometrical explana tions are essential for a full understanding of the material and that however simple a matrix proof might seem, a geometric proof is almost certainly more profitable. Further, wherever possible, results should be stated in a form that is invariant under conjugation, thus making the intrinsic nature of the result more apparent. Despite the fact that the subject matter is concerned with groups of isometries of hyperbolic geometry, many publications rely on Euclidean estimates and geometry. However, the recent developments have again emphasized the need for hyperbolic geometry, and I have included a comprehensive chapter on analytical (not axiomatic) hyperbolic geometry. It is hoped that this chapter will serve as a "dictionary" offormulae in plane hyperbolic geometry and as such will be of interest and use in its own right.
Download or read book Theory of Functions of a Complex Variable written by Andrew Russell Forsyth and published by . This book was released on 1900 with total page 842 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Encyclopaedia Britannica written by Thomas Spencer Baynes and published by . This book was released on 1902 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Discrete Moebius Groups written by Norbert Joseph Wielenberg and published by . This book was released on 1974 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Encyclop dia Britannica written by Hugh Chisholm and published by . This book was released on 1910 with total page 1004 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Encyclop dia Britannica written by and published by . This book was released on 1910 with total page 996 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Encyclop dia Britannica Gichtel Harmonium written by and published by . This book was released on 1910 with total page 1000 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The New Volumes of the Encyclp edia Britannica written by and published by . This book was released on 1902 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Science Progress in the Twentieth Century written by and published by . This book was released on 1926 with total page 766 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Science Progress written by and published by . This book was released on 1926 with total page 822 pages. Available in PDF, EPUB and Kindle. Book excerpt: A review journal of current scientific advance.
