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Griffiths H. — Surfaces
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Название: SurfacesАвтор: Griffiths H. Аннотация: This book is an attempt to break that cycle, being designed for students
Язык: Рубрика: Математика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 1976Количество страниц: 120Добавлена в каталог: 20.07.2005Операции: Положить на полку |
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A-level 102 104 Absolute (maximum, minimum) 89 Addition equations 57 59 Addition theorem 48 57 Agreement 1 32 Agreement 2 33 96 Agreement 3 34 96 Agreement 4 39 96 Agreement 5 39 45 Agreement 6 53 97 Agreement 7 67 96 Amoeba 43 111 Analysis (subject) 97 Analysis, case-by-case 102 Annulus 9 35 69 73 76 99 ARC 22 67 97 Arc succession 25 32 Arrow (orienting) 28 44 79 110 Assembly Theorem 76 94 100 Assembly, ordered 75 Associativity 102 Axioms ix 100 bar 83 86 Bay 39 Beetle 17 Big Question 30 58 Bijection 101 102 Boundary 7 81 100 Bridge 17 50 Bridge, multi- 25 Bridge, twisted 17 52 Calculus 101 104 Cayley 82 Characteristic 18 100 Classification Theorem 61 Closed surface 7 54 61 94 Cocoon 34 66 69 73 101 Colouring problems 69 73 Compact 96 104 106 Complex (paper) 64 76 86 Connected 76 96 contour 85 86 Corner 7 Counter-example 103 Critical level 89 91 Critical point 85 89 Cross-cap 54 61 Crystal 6 cube 7 64 Curve (Jordan) 10 14 86 95 100 103 Cylinder 9 definitions 34 99 Differential invariant 66 dodecahedron 8 64 Double torus 27 107 Dual 64 Duality (Alexander) 100 Ear 15 48 Ear, multi- 24 Ear, twisted 16 48 Earthworm 43 111 EDGE 7; free 7 Equation: mountaineer's 82 Equation: of hyperboloid 106 Equation: of surface 12 Equation: of torus 12 106; Equation: quadratic 64 103 Euler 18 66 Euler formula 66 Euler number 18 59 65 72 82 103 110 Examinations 103 104 Experiment 46 102 Family 32 58 96 Finer 71 Five-colour Theorem 69 Flange 36 Flood 83 flowchart 81 104 Fount (of type) 101 Four-colour Conjecture 69 Free (edge) 7 Fundamental theorem 58 Gallic Plan 61 Gallic Theorem 58 Genus 27 99 Graph theory 7 99 Handle 27 42 51 61 Heawood's Theorem 73 Height 82 94 104 Homeomorphism 95 96 105 106 Hyperboloid 106 icosahedron 8 64 Induction, mathematical 59 68 101 102 Invariance 63 Invariance Theorem 65 94 Invariant 65 75 81 Isomorphism 101 Isthmus 83 86 JORDAN 10 Jordan curve 10 14 86 95 100 103 Jordan curve theorem 95 100 Klein 21 Klein bottle 54 73 Lamina 32 68 Left-handed 10 41 99 Level 85 89 Lid 21 26 Linear graph 7 99 Manifold 98; generalized 96 MAP 69 Mathematical induction 59 68 101 102 Mathematical language 97 101 Mathematical model, modelling 95 96 104 Mathematical surface 95 Maximum 85 89 Maxwell, J.C. 82 Meaning ix Minimum 85 89 Model 102 Moebius 10 Moebius band (or strip) 10 37 44 54 69 73 95 Moebius equation 13 Morse theory 82 98 Morse, M. 82 Morse, S. F B. 82 Mountaineer's equation 82 Multiplicity 25 Mystery surface 76 96 Non-orientable 29 61 79 94 Number: Euler 18 59 65 72 82 103 110 Number: orientability 60 66 75 80 Number: real 22 95 103 octahedron 8 64 Order of assembly 62 63 75 Ordered assembly 75 Orientability number 60 66 75 80 Orientability Theorem 78 Orientable 29 44 79 80 110 Oriented 29 Ovaloid 3 Overpass 15 41 99 Panel 2 32 66 95 Paper complex 64 76 86 Paper surface 7 94 Paper surface, Gallic 61 Paper surface, mystery 76 96 Paper surface, non-orientable 29 61 79 94 Paper surface, orientable, oriented 29 44 79 80 110 Paper surface, with boundary 10 Parity 60 103 PASS 82 84 89 Pass, over- 99 Pass, under- 99 Peak 82 84 89 Pedagogical Axiom ix 100 Pit 82 84 89 Plan 39 44 58 101 102 Planar region (or surface) 14 39 41 Planting a concept 101 104 Plateau 82 85 Plato 7 Platonic polyhedra 8 34 64 Platonic solids 7 Polygonal Jordan Curve Theorem 95 Polyhedron, regular 8 76 Prescription 45 prism 9 Projective geometry 22 Projective plane 22 54 73 Proof (notion of) x 31 Proper panelling 64 78 Punctured Klein bottle 21 38 44 Punctured projective plane 22 Punctured sphere with g handles 26 27 Punctured torm 21 17 Quadratic equation 64 101 Question (Big) 30 58 Rcpanelling 25 63 65 71 Recognition Claim 54 refinement 71 Regular polyhedron 8 76 Ridge 85 Rule 1 2 Rule 2 6 Saddle point 85 86 Schoenfliess Theorem 95 100 103 Screwdriver rule 30 Sculpture, xi 56 85 Sketching 102 Skull 43 111 Slicing plane 90 Sphere 105 Sphere, punctured 26 27 Sphere, with g handles 27 43 54 Spiral approach 101 Star 76 96 Subtraction (of panel) 64 Surface: mathematical 95 Surface: mystery 76 96 Surface: paper 7 Surface: planar 14 Tape 2 65 96 Tests 17 64 tetrahedron 7 64 Theorem (explanation) 34 Theorems: Addition 48 57; Theorems: Assembly 76 94 100 Theorems: Classification 61 Theorems: Five-colour 69 Theorems: Fundamental 58 Theorems: Gallic 58 Theorems: Heawood's 73 Theorems: Invariance 65 94 Theorems: Jordan Curve 95 100 Theorems: Orientability 78 Theorems: Schoenfliess 95 103 Theorems: Trading 46 54 Torus 7 73 94 106 Torus equation 12 106 Torus, double 27 107 Torus, punctured 21 37 Trading Theorem 46 54 Triangulation 67 96 Trick 51 102 Twist 10 17 41 80 81 99 Two-sided 29 30 Underpass 15 41 99 Understanding 104 Uniqueness (of plan) 60 Vertices 95 100 Volcano 82 85
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