Hyperbolic Manifolds

An Introduction in 2 and 3 Dimensions

Nonfiction, Science & Nature, Mathematics, Topology, Geometry
Cover of the book Hyperbolic Manifolds by Albert Marden, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Albert Marden ISBN: 9781316430392
Publisher: Cambridge University Press Publication: February 1, 2016
Imprint: Cambridge University Press Language: English
Author: Albert Marden
ISBN: 9781316430392
Publisher: Cambridge University Press
Publication: February 1, 2016
Imprint: Cambridge University Press
Language: English

Over the past three decades there has been a total revolution in the classic branch of mathematics called 3-dimensional topology, namely the discovery that most solid 3-dimensional shapes are hyperbolic 3-manifolds. This book introduces and explains hyperbolic geometry and hyperbolic 3- and 2-dimensional manifolds in the first two chapters and then goes on to develop the subject. The author discusses the profound discoveries of the astonishing features of these 3-manifolds, helping the reader to understand them without going into long, detailed formal proofs. The book is heavily illustrated with pictures, mostly in color, that help explain the manifold properties described in the text. Each chapter ends with a set of exercises and explorations that both challenge the reader to prove assertions made in the text, and suggest further topics to explore that bring additional insight. There is an extensive index and bibliography.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

Over the past three decades there has been a total revolution in the classic branch of mathematics called 3-dimensional topology, namely the discovery that most solid 3-dimensional shapes are hyperbolic 3-manifolds. This book introduces and explains hyperbolic geometry and hyperbolic 3- and 2-dimensional manifolds in the first two chapters and then goes on to develop the subject. The author discusses the profound discoveries of the astonishing features of these 3-manifolds, helping the reader to understand them without going into long, detailed formal proofs. The book is heavily illustrated with pictures, mostly in color, that help explain the manifold properties described in the text. Each chapter ends with a set of exercises and explorations that both challenge the reader to prove assertions made in the text, and suggest further topics to explore that bring additional insight. There is an extensive index and bibliography.

More books from Cambridge University Press

Cover of the book Legislated Rights by Albert Marden
Cover of the book A Guide to Neo-Latin Literature by Albert Marden
Cover of the book Distributive Justice and World Trade Law by Albert Marden
Cover of the book The Production of Books in England 1350–1500 by Albert Marden
Cover of the book The Book of Memory by Albert Marden
Cover of the book Quantum Mechanics by Albert Marden
Cover of the book Quaker Constitutionalism and the Political Thought of John Dickinson by Albert Marden
Cover of the book Rhetoric and Composition by Albert Marden
Cover of the book Self-Organizing Federalism by Albert Marden
Cover of the book Religion and Modern Society by Albert Marden
Cover of the book Vision, Devotion, and Self-Representation in Late Medieval Art by Albert Marden
Cover of the book The Evolutionary Biology of Human Body Fatness by Albert Marden
Cover of the book The Mandrill by Albert Marden
Cover of the book Precedents and Case-Based Reasoning in the European Court of Justice by Albert Marden
Cover of the book Plant Conservation Science and Practice by Albert Marden
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy