Hyperbolic Geometry by James W. Cannon, W.J. Floyd, R. Kenyon, W.R. Parry
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About this book :-
These notes are intended as a relatively quick introduction to hyperbolic geometry. They review the wonderful history of non-Euclidean geometry. They give five different analytic models for and several combinatorial approximations to non-Euclidean geometry by means of which the reader can develop an intuition for the behavior of this geometry. The book uses easy words and pictures to help people understand this new type of geometry. It is good for students who want to learn more about advanced math.
Book Detail :-
This book has following details information.
Title:
Hyperbolic Geometry by James W. Cannon, W.J. Floyd, R. Kenyon, W.R. Parry
Publisher:
MSRI Publications
Year:
1997
Pages:
57
Type:
PDF
Language:
English
ISBN-10 #:
N\A
ISBN-13 #:
N\A
License:
N\A
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About Author :-
The author NA
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Book Contents :-
This book has following table of contents.
1. Introduction
2. The Origins of Hyperbolic Geometry
3. Why Call it Hyperbolic Geometry?
4. Understanding the One-Dimensional Case
5. Generalizing to Higher Dimensions
6. Rudiments of Riemannian Geometry
7. Five Models of Hyperbolic Space
8. Stereographic Projection
9. Geodesics
10. Isometries and Distances in the Hyperboloid Model
11. The Space at Infinity 84
12. The Geometric Classification of Isometries
13. Curious Facts about Hyperbolic Space
14. The Sixth Model
15. Why Study Hyperbolic Geometry?
16. When Does a Manifold Have a Hyperbolic Structure?
17. How to Get Analytic Coordinates at Infinity?
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