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Alan F. Beardon
Researcher at University of Cambridge
Publications - 99
Citations - 4207
Alan F. Beardon is an academic researcher from University of Cambridge. The author has contributed to research in topics: Hyperbolic geometry & Complex plane. The author has an hindex of 20, co-authored 88 publications receiving 4051 citations. Previous affiliations of Alan F. Beardon include State University of New York System.
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Book
The Geometry of Discrete Groups
TL;DR: In this article, the authors describe the geometric theory of discrete groups and associated tesselations of the underlying space, and develop the theory of Mobius transformations in n-dimensional Euclidean space.
Journal ArticleDOI
Limit points of Kleinian groups and finite sided fundamental polyhedra
TL;DR: In this article, the Dirichlet fundamental polyhedron P0 was constructed for a discrete subgroup of SL(2, C)/{• 1] and the set of points of S 2 at which G does not act discontinuously is the limit set A(G).
Book
Iteration of Rational Functions: Complex Analytic Dynamical Systems
TL;DR: In this paper, the authors propose an extension of the Julia Set to the extended complex plane, which is a topology on the rational functions of the complex plane and the Julia set.
MonographDOI
Algebra and geometry
TL;DR: In this article, the authors present a unified approach to algebra and geometry, focusing on complex numbers, scalar and vector products, determinants, linear algebra, group theory, permutation groups, symmetry groups and aspects of geometry.