Skip to main content Accessibility help
×
  1. Home
  2. Books
  3. Outer Circles
  • Cited by 69
      • Show more authors
      • You may already have access via personal or institutional login
    • Select format
    • Publisher:
      Cambridge University Press
      Publication date:
      02 December 2009
      31 May 2007
      ISBN:
      9780511618918
      DOI:
      https://doi.org/10.1017/CBO9780511618918
      Dimensions:
      Weight & Pages:
      Dimensions:
      Weight & Pages:
      • Subjects:
      Mathematics, Geometry and Topology, Algebra
    You may already have access via personal or institutional login
    • Selected: Digital
    Add to cart View cart Buy from Cambridge.org
    Subjects:
    Mathematics, Geometry and Topology, Algebra
    Information

    Book description

    We live in a three-dimensional space; what sort of space is it? Can we build it from simple geometric objects? The answers to such questions have been found in the last 30 years, and Outer Circles describes the basic mathematics needed for those answers as well as making clear the grand design of the subject of hyperbolic manifolds as a whole. The purpose of Outer Circles is to provide an account of the contemporary theory, accessible to those with minimal formal background in topology, hyperbolic geometry, and complex analysis. The text explains what is needed, and provides the expertise to use the primary tools to arrive at a thorough understanding of the big picture. This picture is further filled out by numerous exercises and expositions at the ends of the chapters and is complemented by a profusion of high quality illustrations. There is an extensive bibliography for further study.

    Reviews

    '… a far-reaching introduction and report on the development and the recent progress in the field of Kleinian groups and their associated hyperbolic-3 manifolds … The book contains a lot of information in a rather condensed form; it is stimulating to read (probably more as a handbook and guide to the main concepts and the relevant literature than systematically in a linear order), and most useful to get an orientation in the field and its literature as well as to learn about the basic concepts and constructions.'

    Source: Mathematical Reviews

    '… contains a lot of material and can be very valuable for getting an overview of this very broad and important field …'

    Source: EMS Newsletter

    Refine List

    Actions for selected content:

    Select all | Deselect all
    • View selected items
    • Export citations
    • Download PDF (zip)
    • Save to Kindle
    • Save to Dropbox
    • Save to Google Drive

    Save Search

    You can save your searches here and later view and run them again in "My saved searches".

    Please provide a title, maximum of 40 characters.
    Cancel
    ×

    Contents

    Contents

    Metrics

    Altmetric attention score

    Full text views

    Total number of HTML views: 0
    Total number of PDF views: 0 *
    Loading metrics...

    Book summary page views

    Total views: 0 *
    Loading metrics...

    * Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

    Usage data cannot currently be displayed.

    Accessibility standard: Unknown

    Why this information is here

    This section outlines the accessibility features of this content - including support for screen readers, full keyboard navigation and high-contrast display options. This may not be relevant for you.

    Accessibility Information

    Accessibility compliance for the PDF of this book is currently unknown and may be updated in the future.