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Original Essays | September 17, 2014

Merritt Tierce: IMG Has My Husband Read It?



My first novel, Love Me Back, was published on September 16. Writing the book took seven years, and along the way three chapters were published in... Continue »
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    Love Me Back

    Merritt Tierce 9780385538077

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Invitation to Hyperbolic Geometry

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Invitation to Hyperbolic Geometry Cover

 

Synopses & Reviews

Publisher Comments:

Although 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.

Description:

Includes bibliographical references (p. 292-294) and index.

Table of Contents

Introduction; 1. Quadratic Forms; 2. Geometries; 3. Hyperbolic Plane; 4. Fuchsian Groups; 5. Fundamental Domains; 6. Coverings; 7. Poincare's Theorem; 8. Hyperbolic 3-Space; Appendix: Axioms for Plane Geometry.

Product Details

ISBN:
9780521435284
Author:
Iversen, Birger
Publisher:
Cambridge University Press
Editor:
Bruce, J. W.
Location:
Cambridge ;
Subject:
Geometry, Hyperbolic
Subject:
Gâeomâetrie hyperbolique
Subject:
Geometry - Non-Euclidean
Subject:
Mathematics-Geometry - General
Subject:
Topology
Edition Description:
Trade paper
Series:
London Mathematical Society student texts ;
Series Volume:
933525
Publication Date:
20080831
Binding:
TRADE PAPER
Language:
English
Illustrations:
Yes
Pages:
316
Dimensions:
5.98x9.01x.70 in. 1.02 lbs.

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