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Author: Linda Keen
Publisher: Cambridge University Press
Published: 2007-03-08
Total Pages: 259
ISBN-13: 052168224X
DOWNLOAD EBOOKA self-contained text on hyperbolic geometry for plane domains, ideal for graduate students and academic researchers.
Author: Cram101 Textbook Reviews
Publisher: Academic Internet Pub Incorporated
Published: 2010-12
Total Pages: 56
ISBN-13: 9781616981990
DOWNLOAD EBOOKNever HIGHLIGHT a Book Again! Virtually all of the testable terms, concepts, persons, places, and events from the textbook are included. Cram101 Just the FACTS101 studyguides give all of the outlines, highlights, notes, and quizzes for your textbook with optional online comprehensive practice tests. Only Cram101 is Textbook Specific. Accompanys: 9780521682244 .
Author: Birger Iversen
Publisher: Cambridge University Press
Published: 1992-12-17
Total Pages: 317
ISBN-13: 0521435080
DOWNLOAD EBOOKAlthough it arose from purely theoretical considerations of the underlying axioms of geometry, the work of Einstein and Dirac has demonstrated that hyperbolic geometry is a fundamental aspect of modern physics. In this book, the rich geometry of the hyperbolic plane is studied in detail, leading to the focal point of the book, Poincare's polygon theorem and the relationship between hyperbolic geometries and discrete groups of isometries. Hyperbolic 3-space is also discussed, and the directions that current research in this field is taking are sketched. This will be an excellent introduction to hyperbolic geometry for students new to the subject, and for experts in other fields.
Author: John Stillwell
Publisher: American Mathematical Soc.
Published: 1996
Total Pages: 172
ISBN-13: 9780821809228
DOWNLOAD EBOOKPresents the papers of Beltrami, Klein, and Poincare that brought hyperbolic geometry into the mainstream of mathematics.
Author: John G. Ratcliffe
Publisher: Springer
Published: 1994-01-01
Total Pages: 747
ISBN-13: 038794348X
DOWNLOAD EBOOKThis book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended to be used both as a textbook and as a reference. The reader is assumed to have a basic knowledge of algebra and topology at the first year graduate level of an American university. The book is divided into three parts. The first part, Chapters 1-7, is concerned with hyperbolic geometry and discrete groups. The second part, Chapters 8-12, is devoted to the theory of hyperbolic manifolds. The third part, Chapter 13, integrates the first two parts in a development of the theory of hyperbolic orbifolds. There are over 500 exercises in this book and more than 180 illustrations.
Author: Michael Krivelevich
Publisher: Cambridge University Press
Published: 2016-04-25
Total Pages: 129
ISBN-13: 1107136571
DOWNLOAD EBOOKA concise introduction, aimed at young researchers, to recent developments of a geometric and topological nature in random graphs.
Author: Hansjörg Geiges
Publisher: Cambridge University Press
Published: 2016-03-24
Total Pages: 241
ISBN-13: 1107125405
DOWNLOAD EBOOKA first course in celestial mechanics emphasising the variety of geometric ideas that have shaped the subject.
Author: Simeon Ball
Publisher: Cambridge University Press
Published: 2015-06-26
Total Pages: 299
ISBN-13: 1316301044
DOWNLOAD EBOOKThe projective and polar geometries that arise from a vector space over a finite field are particularly useful in the construction of combinatorial objects, such as latin squares, designs, codes and graphs. This book provides an introduction to these geometries and their many applications to other areas of combinatorics. Coverage includes a detailed treatment of the forbidden subgraph problem from a geometrical point of view, and a chapter on maximum distance separable codes, which includes a proof that such codes over prime fields are short. The author also provides more than 100 exercises (complete with detailed solutions), which show the diversity of applications of finite fields and their geometries. Finite Geometry and Combinatorial Applications is ideal for anyone, from a third-year undergraduate to a researcher, who wishes to familiarise themselves with and gain an appreciation of finite geometry.
Author: Derek F. Holt
Publisher: Cambridge University Press
Published: 2017-02-23
Total Pages: 307
ISBN-13: 1108211046
DOWNLOAD EBOOKFascinating connections exist between group theory and automata theory, and a wide variety of them are discussed in this text. Automata can be used in group theory to encode complexity, to represent aspects of underlying geometry on a space on which a group acts, and to provide efficient algorithms for practical computation. There are also many applications in geometric group theory. The authors provide background material in each of these related areas, as well as exploring the connections along a number of strands that lead to the forefront of current research in geometric group theory. Examples studied in detail include hyperbolic groups, Euclidean groups, braid groups, Coxeter groups, Artin groups, and automata groups such as the Grigorchuk group. This book will be a convenient reference point for established mathematicians who need to understand background material for applications, and can serve as a textbook for research students in (geometric) group theory.
Author: Renzo Cavalieri
Publisher: Cambridge University Press
Published: 2016-09-26
Total Pages: 197
ISBN-13: 1316798933
DOWNLOAD EBOOKHurwitz theory, the study of analytic functions among Riemann surfaces, is a classical field and active research area in algebraic geometry. The subject's interplay between algebra, geometry, topology and analysis is a beautiful example of the interconnectedness of mathematics. This book introduces students to this increasingly important field, covering key topics such as manifolds, monodromy representations and the Hurwitz potential. Designed for undergraduate study, this classroom-tested text includes over 100 exercises to provide motivation for the reader. Also included are short essays by guest writers on how they use Hurwitz theory in their work, which ranges from string theory to non-Archimedean geometry. Whether used in a course or as a self-contained reference for graduate students, this book will provide an exciting glimpse at mathematics beyond the standard university classes.
