Fuchsian groups play a central role in various important fields of mathematics. 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, Werner Fenchel (1905-1988) joined later and overtook the much of the preparation of the manuscript. Professor Asmus Schmidt (University of Copenhagen) is the editor of this first publication in book form of the Fenchel-Nielsen notes. It is on his initiative that the long and difficult way of getting the original notes into the proper shape ready for publication succeeded.
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Editorial Reviews
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"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
About the Author
Professor Asmus Schmidt (University of Copenhagen) is the editor of this first publication in book form of the Fenchel-Nielsen notes. It is on his initiative that the long and difficult way of getting the original notes into the proper shape ready for publication succeeded.
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Inside This Book
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First Sentence:
The following considerations are based on the plane of all complex numbers, this plane being closed as usual by a point at infinity, in other words on Riemann's sphere of complex numbers. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
disjoint modulo, dividing modulo, isometric neighbourhood, inequivalent with respect, inner axes, hyperbolic pencil, fundamental pencil, bounding geodesic, reversed translation, boundary axes, inner translation, elliptic pairs, generalized free product, simple modulo, parabolic pencil, inner axis, boundary axis, decomposition adjacent, reflection chain, elliptic pencil, polygonal disc, extended hull, complete straight lines, hyperbolic pairs, compact modulo New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
The following considerations are based on the plane of all complex numbers, this plane being closed as usual by a point at infinity, in other words on Riemann's sphere of complex numbers. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
disjoint modulo, dividing modulo, isometric neighbourhood, inequivalent with respect, inner axes, hyperbolic pencil, fundamental pencil, bounding geodesic, reversed translation, boundary axes, inner translation, elliptic pairs, generalized free product, simple modulo, parabolic pencil, inner axis, boundary axis, decomposition adjacent, reflection chain, elliptic pencil, polygonal disc, extended hull, complete straight lines, hyperbolic pairs, compact modulo New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 37
books:
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- Elementary Geometry in Hyperbolic Space (De Gruyter Studies in Mathematics) by Werner Fenchel in Front Matter (1), Front Matter (2), and Back Matter
- Kleinian Groups (Grundlehren Der Mathematischen Wissenschaften) by Bernard Maskit in Back Matter (1), and Back Matter (2)
- Riemann Surfaces (Mathematics Series) by Lars V. Ahlfors in Back Matter (1), and Back Matter (2)
- Conformal Geometry of Discrete Groups and Manifolds (Degruyter Expositions in Mathematics) by B. N. Apanasov in Back Matter
- Non-Euclidean Geometry: A Critical and Historical Study of its Development by Roberto Bonola in Back Matter
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