Zur Startseite gehen
0,00 €*
Cover: 9781461270225 | The Geometry of Discrete Groups | Alan F. Beardon | Taschenbuch | xii
Dekorationsartikel gehören nicht zum Leistungsumfang.
The Geometry of Discrete Groups
Taschenbuch von Alan F. Beardon
Sprache: Englisch

69,54 €*

inkl. MwSt.

Versandkostenfrei per Post / DHL

Aktuell nicht verfügbar

Kategorien:
Beschreibung
This text is intended to serve as an introduction to the geometry of the action of discrete groups of Mobius transformations. The subject matter has now been studied with changing points of emphasis for over a hundred years, the most recent developments being connected with the theory of 3-manifolds: see, for example, the papers of Poincare [77] and Thurston [101]. About 1940, the now well-known (but virtually unobtainable) Fenchel-Nielsen manuscript appeared. Sadly, the manuscript never appeared in print, and this more modest text attempts to display at least some of the beautiful geo­ metrical ideas to be found in that manuscript, as well as some more recent material. The text has been written with the conviction that geometrical explana­ tions are essential for a full understanding of the material and that however simple a matrix proof might seem, a geometric proof is almost certainly more profitable. Further, wherever possible, results should be stated in a form that is invariant under conjugation, thus making the intrinsic nature of the result more apparent. Despite the fact that the subject matter is concerned with groups of isometries of hyperbolic geometry, many publications rely on Euclidean estimates and geometry. However, the recent developments have again emphasized the need for hyperbolic geometry, and I have included a comprehensive chapter on analytical (not axiomatic) hyperbolic geometry. It is hoped that this chapter will serve as a "dictionary" offormulae in plane hyperbolic geometry and as such will be of interest and use in its own right.
This text is intended to serve as an introduction to the geometry of the action of discrete groups of Mobius transformations. The subject matter has now been studied with changing points of emphasis for over a hundred years, the most recent developments being connected with the theory of 3-manifolds: see, for example, the papers of Poincare [77] and Thurston [101]. About 1940, the now well-known (but virtually unobtainable) Fenchel-Nielsen manuscript appeared. Sadly, the manuscript never appeared in print, and this more modest text attempts to display at least some of the beautiful geo­ metrical ideas to be found in that manuscript, as well as some more recent material. The text has been written with the conviction that geometrical explana­ tions are essential for a full understanding of the material and that however simple a matrix proof might seem, a geometric proof is almost certainly more profitable. Further, wherever possible, results should be stated in a form that is invariant under conjugation, thus making the intrinsic nature of the result more apparent. Despite the fact that the subject matter is concerned with groups of isometries of hyperbolic geometry, many publications rely on Euclidean estimates and geometry. However, the recent developments have again emphasized the need for hyperbolic geometry, and I have included a comprehensive chapter on analytical (not axiomatic) hyperbolic geometry. It is hoped that this chapter will serve as a "dictionary" offormulae in plane hyperbolic geometry and as such will be of interest and use in its own right.
Inhaltsverzeichnis
1 Preliminary Material.- 2 Matrices.- 3 Möbius Transformations on ?n.- 4 Complex Möbius Transformations.- 5 Discontinuous Groups.- 6 Riemann Surfaces.- 7 Hyperbolic Geometry.- 8 Fuchsian Groups.- 9 Fundamental Domains.- 10 Finitely Generated Groups.- 11 Universal Constraints on Fuchsian Groups.- References.
Details
Erscheinungsjahr: 2012
Fachbereich: Arithmetik & Algebra
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Graduate Texts in Mathematics
Inhalt: xii
340 S.
ISBN-13: 9781461270225
ISBN-10: 1461270227
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Beardon, Alan F.
Auflage: Softcover reprint of the original 1st ed. 1983
Hersteller: Springer New York
Springer US, New York, N.Y.
Graduate Texts in Mathematics
Maße: 235 x 155 x 20 mm
Von/Mit: Alan F. Beardon
Erscheinungsdatum: 08.10.2012
Gewicht: 0,54 kg
Artikel-ID: 106118722
Inhaltsverzeichnis
1 Preliminary Material.- 2 Matrices.- 3 Möbius Transformations on ?n.- 4 Complex Möbius Transformations.- 5 Discontinuous Groups.- 6 Riemann Surfaces.- 7 Hyperbolic Geometry.- 8 Fuchsian Groups.- 9 Fundamental Domains.- 10 Finitely Generated Groups.- 11 Universal Constraints on Fuchsian Groups.- References.
Details
Erscheinungsjahr: 2012
Fachbereich: Arithmetik & Algebra
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Graduate Texts in Mathematics
Inhalt: xii
340 S.
ISBN-13: 9781461270225
ISBN-10: 1461270227
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Beardon, Alan F.
Auflage: Softcover reprint of the original 1st ed. 1983
Hersteller: Springer New York
Springer US, New York, N.Y.
Graduate Texts in Mathematics
Maße: 235 x 155 x 20 mm
Von/Mit: Alan F. Beardon
Erscheinungsdatum: 08.10.2012
Gewicht: 0,54 kg
Artikel-ID: 106118722
Warnhinweis

Ähnliche Produkte

Ähnliche Produkte

Taschenbuch
Cover: 9780449910818 | Frontiers of Complexity | Peter Coveney | Taschenbuch | Paperback
Frontiers of Complexity
The Search for Order in a Choatic World
EAN: 9780449910818
Sprache: Englisch, Dänisch
Von/Mit: Peter Coveney (u. a.)

23,80 €*

Aktuell nicht verfügbar

Buch
Cover: 9783110203004 | Applied Algebraic Dynamics | Andrei Khrennikov (u. a.) | Buch | ISSN
Applied Algebraic Dynamics
EAN: 9783110203004
Sprache: Englisch
Von/Mit: Andrei Khrennikov (u. a.)

179,95 €*

Aktuell nicht verfügbar

Buch
Cover: 9783540547037 | Complex Analysis I | A. A. Gonchar (u. a.) | Buch | ix | Englisch
Complex Analysis I
Entire and Meromorphic Functions Polyanalytic Functions and Their Generalizations
EAN: 9783540547037
Sprache: Englisch
Von/Mit: A. A. Gonchar (u. a.)

106,99 €*

Aktuell nicht verfügbar

Buch
Cover: 9780387989556 | Probability via Expectation | Peter Whittle | Buch | xxi | Englisch
Probability via Expectation
EAN: 9780387989556
Sprache: Englisch
Von/Mit: Peter Whittle

139,09 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9781461287735 | A Course on Integral Equations | Allen C. Pipkin | Taschenbuch | xiv
A Course on Integral Equations
EAN: 9781461287735
Sprache: Englisch
Von/Mit: Allen C. Pipkin

90,94 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9781468494600 | Linear Representations of Finite Groups | Jean-Pierre Serre | Buch | x
Linear Representations of Finite Groups
EAN: 9781468494600
Sprache: Englisch
Von/Mit: Jean-Pierre Serre

59,87 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9781461270713 | Equations and Inequalities | Jiri Herman (u. a.) | Taschenbuch | xi
Equations and Inequalities
Elementary Problems and Theorems in Algebra and Number Theory
EAN: 9781461270713
Sprache: Englisch
Von/Mit: Jiri Herman (u. a.)

53,49 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9781447456728 | Factoring and Algebra - A Selection of Classic Mathematical...
Factoring and Algebra - A Selection of Classic Mathematical Articles Containing Examples and Exercises on the Subject...
EAN: 9781447456728
Sprache: Englisch
Von/Mit: Various

17,10 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9788847039827 | Esercizi scelti di Algebra | Volume 2 | Rocco Chirivì (u. a.) | Buch
Esercizi scelti di Algebra
Volume 2
EAN: 9788847039827
Sprache: Italienisch
Von/Mit: Rocco Chirivì (u. a.)

30,86 €*

Aktuell nicht verfügbar

Buch
Cover: 9781032765723 | Advanced Linear Algebra | Nicholas A. Loehr | Buch | Englisch | 2024
Advanced Linear Algebra
EAN: 9781032765723
Sprache: Englisch
Von/Mit: Nicholas A. Loehr

116,95 €*

Lieferzeit 1-2 Wochen

Diese Website verwendet Cookies, um eine bestmögliche Erfahrung bieten zu können. Mehr Informationen ...