Front Cover; Noneuclidean Tesselations and Their Groups; Copyright Page; Contents; Preface; Abbreviations and Symbols; CHAPTER I. ELEMENTARY CONCEPTS AND FORMULAS; I.1 The Group G* of Homographic Substitutions; I.2 Action of G* on the Closed Complex Plane C; I.3 Action of G* on Hyperbolic Three-Space; I.4 Circle Groups as Groups of Motions of Hyperbolic Two-Space; I.5 Notes on Elliptic and Spherical Geometry; I.6 Illustrations. References and Historical Remarks; I.7 Appendix: Hilbert's Axioms of Geometry; CHAPTER II. DISCONTINUOUS GROUPS AND TRIANGLE TESSELATIONS; II. 1 Introductory Remarks.
متن يادداشت
CHAPTER V. GROUPS THAT ARE DISCONTINUOUS IN HYPERBOLIC THREE-SPACEV.l Linear Groups over Imaginary Quadratic Number Fields; V.2 Some Geometric Contructions; Figures; References; Index.
متن يادداشت
II. 2 Discontinuous Groups and Fundamental RegionsII. 3 Triangle Groups, Local and Global Relations; II. 4 Euclidean, Spherical, and Elliptic Triangle Groups; II. 5 Hyperbolic Triangle Groups; II. 6 Some Subgroups of Hyperbolic Triangle Groups; II. 7 General Theorems. A Survey and References; CHAPTER III. NUMBER THEORETICAL METHODS; III. 1 The Modular Group; III. 2 Subgroups and Quotient Groups of the Modular Group; III. 3 Groups of Units of Ternary Quadratic and Binary Hermitian Forms; CHAPTER IV. MISCELLANY; IV. 1 Examples of Discontinuous Nonfuchsian Groups; IV. 2 Fricke Characters.
بدون عنوان
0
بدون عنوان
8
بدون عنوان
8
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
Noneuclidean tesselations and their groups.
ویراست دیگر از اثر در قالب دیگر رسانه
عنوان
Noneuclidean tesselations and their groups.
شماره استاندارد بين المللي کتاب و موسيقي
9780124654501
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Geometry, Non-Euclidean.
موضوع مستند نشده
Tessellations (Mathematics)
رده بندی ديویی
شماره
511
.
6
رده بندی کنگره
شماره رده
QA166
.
8
--
M34
1974eb
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )