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Lord E., Wilson C. — The Mathematical Description of Shape and Form (Mathematics and Its Applications)
Lord E., Wilson C. — The Mathematical Description of Shape and Form (Mathematics and Its Applications)

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Название: The Mathematical Description of Shape and Form (Mathematics and Its Applications)

Авторы: Lord E., Wilson C.

Аннотация:

Neither Pythagoras nor Euclid could have foreseen today's
importance of geometry in modern technological systems
of computer-aided design and manufacture. This work
offers the first survey of the mathematical principles of
shape and form and embraces a very wide spectrum of their
applications. It will stimulate the current and growing
revival of interest in the applications of geometry and will
encourage creative thinking about problems of form, as for
instance, in the behaviour of environmental fields in their
interaction with buildings. It will widen awareness of such
versatility of application in other fields whose workers
can now gain a clearer perception of how these rich mathe-
matical concepts can be utilised.
Read more at http://ebookee.org/The-Mathematical-Description-of-Shape-and-Form_568314.html#gogoMJ62yQXMsQr2.99


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1986

Количество страниц: 261

Добавлена в каталог: 17.02.2015

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Absolute value metric      226
Affine geometry      33
Aitoff's projection      54
Algebraic curves and surfaces      90
Allometric growth      71
Analytic functions      74
Anticlastic      28 87
Aperiodic tessellations      166
Azimuthal projections      53
Bandlimiting      244
Battey, M.H.      161 243
Baybars, I. and Eastman, C.M.      183
Behaviour space      102
Bernini, G.      175
Bi-$\beta$ function      196
Bicubic patch      199
Bifurcation      105
Binary patterns      220
Binode      92
Binormal      19
Biquadratic transformation      192
Bivariate interpolation      189
Blending functions      198
Blum, H.      98
Bolyai, J.      32
Bonne's projection      57
Boron      161
Bow and buttock lines      51
Bragg, W.L.      162
Bragg, W.L. and Claringbull, G.F.      162
Branchpoints      121
Bravais lattices      152 156
Brigham, E.O.      248
Brill, E.L.      232
Brueckner, M.      125
Buckling      70
Buckminster Fuller, R.      60
Canonical forms for singularities      74
Catalano, E.      178
Catastrophe manifold      102
Catastrophe map      102
Catastrophe theory      101
Catenary      131
Catenoid      25
Caustic curve      98
Chain encoding      227
Christoffel symbols      24
Classification of surfaces      42
Concho-spiral      173
Conformal mapping      67
Conformal projections      53
Congruence      13
Conic node      87 92
Conical projection      56
Continuity      36
Contour-tracing      224
contours      50
Control space      102
Convolution      214 247
Coolidge, J.L.      13 78
Coons' surface patches      193
Coordinate curves      18
Coordinates, Cartesian      14
Coordinates, curvilinear      31
Coordinates, eulerian      65
Coordinates, homogeneous      33
Coordinates, Lagrangian      65
Covariance      209
Coxeter, H.S.M.      32 148 172
Critchlow's solid      165
Critical point      74
Cross-cap      42
Crystal, class      157
Crystal, habit      161
Crystal, system      155
Crystallography      155 244
Curvature of a plane curve      16
Curvature of a space curve      19
Curvature of a surface      27
Curvature tensor      25
Curvature, Gaussian      28 184
Curvature, mean      28 135
Curve, plane      15
Curve, space      19
Cusp      76
Cuspidal edge      88
Cylindrical projection      57
Deficit angle      127
Deformation      50 64 129
Descartes, R.      14
Diffeomorphism      35
Differential geometry      35
Dihedral angle      127
Dilatation      34 167
Diopside      243
Dirac delta function      212
Dirichlet region      163
Displacement vector      64
Dragon curve      138 139 229
Dual of a graph      182
Dual of a tessellation      163
Duda, R.O. and Hart, P.E.      221 224
Dueppe, R.D. and Gottschalk, H.J.      189
Duncan, J.P. and Vickers, G.W.      51 196
Eells, J.      74
Embedding      47
Engel, H.      178
Envelope      93
Equal-area projections      53
Erlangen program      34 179
Escher, M.C.      166
Euclid      12 32
Euclidean group      14
Euclidean metric      225
Euler characteristic      184
Euler's formula      183
Eulerian coordinates      65
Evolute      98
Exceptional points      118
Fairing      51 196
Feature extraction      220
Fejes Toth, L.      152
Fermat's principle      130
Fibonacci sequence      170
Filtering      242 247
Finite difference methods      218
Finite element methods      118 135 220
Fishnet representation      191
fold      84
Forrest, A.R.      199
Fourier integral      240
Fourier series      230
Fourier surfaces      206
Froebel's 'gifts'      141
Gardner, M.      138 166
Gauss — Codazzi equations      25
Gauss — Weingarten relations      24
Gauss, C.F.      21 32 127
Gaussian curvature      28 184
Genus      46 184
Gibbs phenomenon      247
Gips, J.      136 140
Glide reflection      152
Gnomonic projection      53
Go      225
Golubitsky, M. and Guillemin, V.      74
Graph theory      181
Groner, G.F.      202
Group of motions      14 34 179
Growth      71
Gruenbaum, B. and Shephard, G.C.      166 167
Hamilton's principle      129
Handle      42
Harmon, L. D and Julesz, B.      204
Heaton, P.      51
Helicoid      25
Helix      20
Hilbert's curve      140 141
Homegraaf, A.      178
Homeomorphism      38
Homogeneous coordinates      33
Homogeneous equations      33
Hsu, M.L. and Robinson, A.H.      204
Hunt, J.C.R. and Snyder, W.H.      116
Huxley, J.      71
Hyperbolic paraboloid      175
Hyperbolic plane      32 166
Hyperboloid      174
icosahedron      148
Illumination      63 236
Immersion      47
Indicatrix      66
Inflexion      76 91
Interpolation      186
Intrinsic equation      16
Inversion in a circle      35
Inversive geometry      35
Ishi, K.      135
Isoclines      107
Isometry      14
Jeans, J.H.      101
Jones, O.      153
Joukowski's transformation      68
Junkins, J.L., Miller, G.W. and Jancaitis, J.F.      202
Kepes, G.      178
Kepler — Poinsot solids      125
Klein's bottle      40
Klein's Erlangen program      34 179
Klein, F.      34
Knots      47
Kober, H.      69
Kriging      209
Kuratowski's theorem      182
Lagrangian coordinate system      65
Lambert's projection      54
Laplace's equation      69 218 235
Lattice      149
Least squares      199
Leonardo da Vinci      147
Leopold, L.B. and Langbein, W.B.      133 147
Levine, M.D.      221
Lines of curvature      27
Lobachevski, N.I.      32
Loeb, A.L.      162
Loxodrome      60
Lynes, J.A.      63
Mackay, A.L.      161
Map generalization      208
map projections      53
Mapping      14 47
March, L. and Earl, C.F.      183
March, L. and Steadman, P.      226
Maximum value metric      226
Medial axis      100
Mercator's projection      59
Metric      22 225
Minimal surfaces      133
Minimisation      129
Moebius strip      39
Mollweide's projection      58
Moments      212
Monge's form      18 87
Monkey-saddle      83
Morse, P.M. and Feshbach, H.      31
Nicholson, C.      51
Node      91
Non-Euclidean spaces      31
Normal plane      19
Normal to a space curve      19
Normal to a surface      22
Ontogenetic spiral      169
Orientable      39
Orthographic projection      53
Osculating plane      19
Parametric description      15 19
Parastichies      169
Peano's curve      140 141
Pearce, P.      167
Penrose, R.      166
permutations      179
Perspectivity      32
Pfalz, J.L. and Rosenfeld, A.      227
Phillips, F.C.      157
Phyllotaxis      167
Picture function      216
Pinch point      87
Planar graphs      182
Plateau's problem      133
Platonic solids      163
Point groups      148
Polygonal arc      124
Polygonal symbols      38
Polyhedra      125
Primitive cell      155
Projective geometry      32 180
Proportional development      195
Quadric surfaces      175
Ramphoid cusp      76
Random functions      208
Rectifying plane      19
Reflection      14
Regular point      74 90
Regular point system      147
Rhombic dodecahedron      165
Rhumb line      60
Richards, F.J.      172
Riemann — Hugoniot catastrophe      104
Riemann, B.      31
Riemannian geometry      31
Rivers      132 145
Rotation      14
Saddle point      80
Saint-Venant condition      70
Sanson — Flamsteed's projection      58
Scalar field      49
Schattenschneider, D.      167
Schwarz — Christoffel transformation      69
Schwenk, T.      73
Sciagraphy      33
Screw axis      157
Semple, J.G. and Kneebone, G.T.      78
Serret — Frenet formulae      20 129
Shannon sampling theorem      245
Shape grammars      136
Siegel, K.      178
Similarities      34
Singularity      74
Smoothing      203
Snow, R.      170
Snowflake curve      140
Southwell, R.V.      220
Space curves      19 79
Space groups      152
Space-filling      162
Spherical harmonics      235
Spinodal point      87
Spiral similarity      167
Splines      189
Stable singularities      75
Statistical methods      208
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