Discontinuous Groups of Isometries in the Hyperbolic Plane
(Sprache: Englisch)
This is an introductory textbook on isometry groups of the hyperbolic plane. Interest in such groups dates back more than 120 years. Examples appear in number theory (modular groups and triangle groups), the theory of elliptic functions, and the theory of...
Jetzt vorbestellen
versandkostenfrei
Buch (Gebunden)
139.95 €
- Lastschrift, Kreditkarte, Paypal, Rechnung
- Kostenlose Rücksendung
- Ratenzahlung möglich
Produktdetails
Produktinformationen zu „Discontinuous Groups of Isometries in the Hyperbolic Plane “
Klappentext zu „Discontinuous Groups of Isometries in the Hyperbolic Plane “
This is an introductory textbook on isometry groups of the hyperbolic plane. Interest in such groups dates back more than 120 years. Examples appear in number theory (modular groups and triangle groups), the theory of elliptic functions, and the theory of linear differential equations in the complex domain (giving rise to the alternative name Fuchsian groups). The current book is based on what became known as the famous Fenchel-Nielsen manuscript. Jakob Nielsen (1890-1959) started this project well before World War II, and his interest arose through his deep investigations on the topology of Riemann surfaces and from the fact that the fundamental group of a surface of genus greater than one is represented by such a discontinuous group. Werner Fenchel (1905-1988) joined the project later and overtook much of the preparation of the manuscript. The present book is special because of its very complete treatment of groups containing reversions and because it avoids the use of matrices to represent Moebius maps.
This text is intended for students and researchers in the many areas of mathematics that involve the use of discontinuous groups.
Autoren-Porträt von Werner Fenchel, Jakob Nielsen
Asmus L. Schmidt is Associate Professor at the Institute for Mathematical Sciences of the University of Copenhagen, Denmark.
Bibliographische Angaben
- Autoren: Werner Fenchel , Jakob Nielsen
- 2002, XXI, 364 Seiten, 112 Schwarz-Weiß-Abbildungen, mit Abbildungen, Maße: 15,5 x 23 cm, Gebunden, Englisch
- Verlag: De Gruyter
- ISBN-10: 3110175266
- ISBN-13: 9783110175264
Sprache:
Englisch
Rezension zu „Discontinuous Groups of Isometries in the Hyperbolic Plane “
"The Fenchel-Nielsen manuscript has been famous for a long time already and its final publication is a valuable edition to mathematical literature." (EMS Newsletter)"Those working in the field will be grateful to the editor Asmus Schmidt for producing this classic text; it can now be cited without the annoying reference 'Fenchel an Nielsen (to appear)'." (David Singerman in: Bulletin of the London Mathematical Society 36/2004)
Pressezitat
"The Fenchel-Nielsen manuscript has been famous for a long time already and its final publication is a valuable edition to mathematical literature."EMS Newsletter
"Those working in the field will be grateful to the editor Asmus Schmidt for producing this classic text; it can now be cited without the annoying reference 'Fenchel an Nielsen (to appear)'."
David Singerman in: Bulletin of the London Mathematical Society 36/2004
Kommentar zu "Discontinuous Groups of Isometries in the Hyperbolic Plane"
0 Gebrauchte Artikel zu „Discontinuous Groups of Isometries in the Hyperbolic Plane“
| Zustand | Preis | Porto | Zahlung | Verkäufer | Rating |
|---|
Schreiben Sie einen Kommentar zu "Discontinuous Groups of Isometries in the Hyperbolic Plane".
Kommentar verfassen