World Scientific
Hackensack, N.J.
Goldman
William
William Goldman
MATHEMATICS--Topology
Series
Caroline
Caroline Series
Mathematics
9789814401364
9814401366
2012
9781281603678
1281603678
nju
2017-04-02
Foreword; Preface; An Invitation to Elementary Hyperbolic Geometry Ying Zhang; Introduction; 1. Euclid's Elements, Book I and Neutral Plane Geometry; 1.1. A brief review of contents of Elements, Book I; 1.2. A useful lemma; 1.3. A gure-free proof of Proposition I.7; 1.4. More notes on Elements, Book I; 1.5. Playfair's axiom; 1.6. Neutral plane geometry; 1.7. Angle-sums of triangles and Legendre's Theorems; 1.8. Quadrilaterals with two consecutive right angles; 1.9. Saccheri and Lambert quadrilaterals; 1.10. Variation of triangles in a neutral plane.
Electronic books
2012
808340709
en
808340709
This volume is based on lectures given at the highly successful three-week Summer School on Geometry, Topology and Dynamics of Character Varieties held at the National University of Singapore's Institute for Mathematical Sciences in July 2010. Aimed at graduate students in the early stages of research, the edited and refereed articles comprise an excellent introduction to the subject of the program, much of which is otherwise available only in specialized texts. Topics include hyperbolic structures on surfaces and their degenerations, applications of ping-pong lemmas in various contexts, intro.
Geometry, topology and dynamics of character varieties
Geometry, Topology and Dynamics of Character Varieties.
Print version:
Topology
Lecture notes series. Institute for Mathematical Sciences, National University of Singapore ;
Lecture notes series (National University of Singapore. Institute for Mathematical Sciences) ;
Tan
Ser Peow
Ser Peow Tan