Hyperbolic Manifolds - An Introduction in 2 and 3 Dimensions

This study of hyperbolic geometry has both pedagogy and research in mind, and includes exercises and further reading for each chapter.

List of contents

List of illustrations; Preface; 1. Hyperbolic space and its isometries; 2. Discrete groups; 3. Properties of hyperbolic manifolds; 4. Algebraic and geometric convergence; 5. Deformation spaces and the ends of manifolds; 6. Hyperbolization; 7. Line geometry; 8. Right hexagons and hyperbolic trigonometry; Bibliography; Index.

About the author

Albert Marden is a Professor of Mathematics at the University of Minnesota.

Summary

This richly illustrated study of hyperbolic geometry in low dimensions takes the reader from first principles to the current state of knowledge. Marden begins by explaining basic ideas and techniques before applying them to the description and classification of the interiors of 3-dimensional objects. Each chapter ends with exercises and explorations.

Product details

• Authors: Al Marden, Albert Marden, Albert (University of Minnesota) Marden, Marden Albert
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 31.12.2015
• EAN: 9781107116740
• ISBN: 978-1-107-11674-0
• No. of pages: 529
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Geometry; Algebra, MATHEMATICS / Topology, Mathematics, geometry, Topology, Mathematics & science