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200 10$aUniformizing dessins and Belyi? maps via circle packing. /$fPhilip L. Bowers, Kenneth Stephenson
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2004.
210  4$dİ2004
215   $a1 online resource (118 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vNumber 805
300   $a"Volume 170, number 805 (second of 4 numbers)."
311   $a0-8218-3523-8 
320   $aIncludes bibliographical references.
327   $a""Contents""; ""List of Tables""; ""List of Figures""; ""Chapter1.Introduction""; ""Chapter 2. Dessins d'Enfants""; ""2.1. Dessins d'enfants""; ""2.2. The Equilateral Structure""; ""2.3. The Belyi Map""; ""Chapter 3. Discrete Dessins via Circle Packing""; ""3.1. Circle Packings""; ""3.2. Discrete Dessins""; ""3.3. Hexagonal Refinement""; ""3.4. Geometric Lemmas""; ""Chapter 4. Uniformizing Dessins""; ""4.1. Reflective Structures and Conformal Subdivisions""; ""4.2. Uniformizing Equilateral Surfaces""; ""4.3. Convergence of the Belyi Maps""; ""Chapter 5. A Menagerie of Dessins d'Enfants""
327   $a""5.1. Genus 0""""5.2. Genus 1""; ""5.3. Genus 2""; ""5.4. Higher Genera""; ""Chapter 6. Computational Issues""; ""6.1. Dessin Modifications""; ""Chapter 7. Additional Constructions""; ""7.1. Conformal Tilings""; ""7.2. The j function""; ""7.3. Schwarz Triangles""; ""7.4. Graph Embedding""; ""Chapter 8. Non-equilateral Triangulations""; ""8.1. Welding Approach""; ""8.2. Inversive Distance Packings""; ""Chapter 9. The Discrete Option""; ""9.1. Dessins""; ""9.2. Function Theory""; ""Chapter 10. Appendix: Implementation""; ""10.1. A Quick Experiment""; ""10.2. The algorithm""; ""10.3. Accuracy""
327   $a""Bibliography""
410  0$aMemoirs of the American Mathematical Society ;$vNumber 805.
606   $aDessins d'enfants (Mathematics)
606   $aCircle packing
606   $aRiemann surfaces
615  0$aDessins d'enfants (Mathematics)
615  0$aCircle packing.
615  0$aRiemann surfaces.
676   $a516/.11 
700   $aBowers$b Philip L.$f1956-$01608773
702   $aStephenson$b Kenneth$f1945-
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910807039503321
996   $aUniformizing dessins and Belyi? maps via circle packing$93935695
997   $aUNINA