Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Santalo L., Kac M. — Integral geometry and geometric probability
Santalo L., Kac M. — Integral geometry and geometric probability

Читать книгу
бесплатно

Скачать книгу с нашего сайта нельзя

Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Integral geometry and geometric probability

Авторы: Santalo L., Kac M.

Аннотация:

Integral geometry originated with problems on geometrical probability and convex bodies. Its later developments, however, have proved to be useful in several fields ranging from pure mathematics (measure theory, continuous groups) to technical and applied disciplines (pattern recognition, stereology). This book is a systematic exposition of the theory and a compilation of the main results in the field. The volume can be used for a one-semester undergraduate course in probability and differential geometry or as a complement to classical courses on differential geometry, Lie groups, or probability.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1976

Количество страниц: 426

Добавлена в каталог: 18.08.2014

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
Abel's integral equation      288 289
Adjoint representation      150 159 160
Admissible domains      138
Affine groups      179—182
Affine groups, homogeneous      181
Affine groups, special      180 187
Affine groups, special homogeneous      183
Affine groups, special nonhomogeneous      182 187
Affinity      179
Agglomerations of convex sets      279
Aggregates of ellipsoids      291
Aggregates of points      102
Aggregates of spheres      290
Ahlfors, L.      343 344
Ailan, G.      276(2)
Algebraic manifolds      343
Alikoski, A.A.      64
Allendoerfer, C.B.      302 304(4) 322
Almost bundle      280
Ambarcumjan inequality      37 231
Ambarcumjan, R.V.      20 34 37 102 231 250
Anderssen, R.S.      290(321 322) 291
Angle formula      238
Angle in n.e. geometry      302
Annihilator      146
Area of convex set      3 60
Armitage, P.      101
Arnold, V.I.      40
Asymmetry      38
Averages for curves      111
Averages for polygons      55
Averages for polyhedrons      296
Avez, A.      40
Axial vectors      360
Azorin, F.      294(15 16)
Bach, G.      286
Balanzat, M.      98(17 18)
Bambah, R.P.      10
Banchoff, T.F.      38 252
Barbier, E.      111
Bate, A.E.      62(22)
Baticle, M.      24
Bender, E.A.      138
Benson, D.C.      124 232
Benson, R.V.      1
Berger, M.      351
Bernal, J.D.      26
Berwald, L.      197
Bezout theorem      343
Bieberbach, L.      41 (30a)
Birkhoff, G.D.      40
Bishop, R.L.      143
Blaschke's fundamental formula      113—116
Blaschke, W.      1 31(50) 36 40(40) 48 59 64 113 114 118 121 125 197 200(30) 201 211 238(35) 260 281(51) 311 312 340(47) 341(47) 347 351(39)
Blichfeldt's theorem      137
Blichfeldt's theorem, generalized      176
Blichfeldt, H.F.      137 175 176
Bodzioni, J.      211(54—56) 290
Bohm, J.      311
Bokowski, J.      138
Bol, G.      120
Boltjanski, V.G.      1
Bonnesen's inequality      120
Bonnesen, T.      1 3(63) 4(63) 8(63) 120 124 125 126 215(63) 217 231(63) 249(63) 267(63) 324(62)
Borel, E.      108
Borovikov, V.A.      348
Bottema, O.      121
Bourbaki, N.      178
Breadth      6
Breadth of strip      68
Briarty, L.G.      282(70)
Bronowski, J.      276
Brothers, J.E.      277
Buffon's Needle Problem      71 107 135
Buffon's needle problem with broken line      77
Buffon's needle problem, generalized      77 250 281
Busemann, H.      209 215(74) 300
Calugareanu, G.      252
Caregradskii, I.P.      103(80) see
Carleman, T.      48 238(81)
Carlson, J.A.      343
Carnal, H.      23 147
Cartan's Lemma      357
Cartan, E.      145(85) 151 152 153 154 180 211 331 339(89) 342(86) 353
Cartan, H.      12 353 359
Cartesian space $R^{n}$      179
Cassels, J.W.S.      10 190
Cauchy's formula      217
Cauchy, A.      218
Chain rule      177
Chakerian, G.D.      125 126 138 232 255(96 97) 351(95)
Chebotarev, N.G.      177
Chen, Chang-shing      276 277
Chern, S.S.      113(111) 171 242 254 260 262 276 302 343 344
Chevalley, C.      353
Clark, J.M.      48
Class $C^{n}$      3
Class of curve      344
Close packing of segments      126
Closed differential forms      359
Closed geodesics      351
Closed subgroups      165
Clumps of convex sets      101
Clusters      102 213
Coefficient of inefficiency      67
Coleman, R.      23 24 63
Commutative groups      156
Compact groups      159
Complete set of inequalities      10
Completely integrable      146
Complex analytic mappings      343
Complex spaces      338
Concurrent cross sections      209
Congruences, of geodesics      334 335
Congruences, of lines      211 254
Conjugate points      300
Constant breadth      8
Convex billiard      40
Convex body      215
Convex body in elliptic space      322
Convex body of various shapes      229
Convex curves      1
Convex hull      32
Convex hull of n random points      22
Convex ring      350
Convex sets      1 215
Convex sets at random in $E_{3}$      283
Convex sets in $E_{n}$      215
Convex sets, contained in another      94 95
Convex sets, intersecting another      93 94
Convex surface      215
Cooke, P.J.      99
Corte, H.      67
Cotangent space      82 144
Courant, R.      288(125)
Covectors in $R^{n}$      354
Cover, T.      328 329
Coverage problems on circle      25
Coverage problems on line      24 25
Coverage problems on plane      98
Coverage problems on sphere      325—327
Coxeter, H.S.M.      19 113 128 311
Crain, I.K.      20
Crofton's formulas in $E^{n}$      237—239
Crofton's formulas in n.e. spaces      316
Crofton's formulas in plane      47 51
Crofton, M.W.      13 21 47 51 58
Crystallographic groups      128
cube      229
Cubic particles      293
Curvature of Chern — Lashof      254
Curvature of space      300
Cylinders in $E_{3}$      280
Cylinders in $E_{n}$      270
Cylinders, intersecting ball      279
Cylinders, intersecting convex sets      273
Czuber, E.      16 21
Daley, D.J.      67
Darboux's theorem      362
Darling, D.A.      60
Davidson, R.      58 66 67
De Hoff, R.T.      289 290
De Rahm, G.      343
de Vries, H.L.      59 (145a)
Deltheil, R.      13 51(143) 63(143) 198(144) 212 233(144)
Density for cylinders      270 280
Density for horocycles      314
Density for hyperplanes      184 185
Density for linear spaces in $E_{n}$      199
Density for linear spaces in $P_{n}(C)$      340
Density for lines      27 28
Density for m-tuples of linear spaces      186 193
Density for normal chains      341
Density for pairs of linear spaces      205
Density for pairs of lines      49 194
Density for pairs of points      45
Density for parallel hyperplanes      188
Density for parallel subspaces      190
Density for parallelograms      194
Density for planes and lines in $E_{3}$      210
Density for points      13 173
Density for points and lines      195
Density for r-planes      183 187 204 305
Density for r-planes about a q-plane      202
Density for strips      68
Density for triples of points      16
Density function for area      18
Density function for orthogonal projection      218
Density function for perimeter      17
Density function for radii of circumdisk      19
Diameter      6
Difference set      125
Differential forms      82 353
Differential forms over manifolds      361
Differential forms over the group of motions      82
Differential forms, closed      359
Differential forms, decomposable      356
Differential forms, exact      359
Differential of a mapping      148
Differential of a mapping, dual      148
Direct product of groups      161
Distances in n-ball      212
Distances in the space of graphs      42
Distances of two curves      38
Distances, non-euclidean      301
Distribution of areas of triangles      19
Distribution of distances in n-ball      212
Distribution of lengths of chords      48
Distribution of particles      282
Distribution of radii of circumdisks      19
Distribution of sizes of particles      291
Division of a body by random planes      294
Division of a convex set by random lines      54
Division of plane by random lines      51—58
dodecahedron      229
Dodson, C.T.J.      67
Domain      128
Domb, C.      213
Drinfel'd, G.I.      177
Dual formulas      303
Dual formulas in elliptic space      318
Duffin, R., J.      290 291
Dufour, S.W.      104
Dvoretzky, A.      11 25
Eberhardt, L.L.      24
Effective Lie transformation group      173
Efron, B.      23 328 329
Eggleston, H.G.      1 189
Eisenhart, L.P.      247(165) 254(165) 308(165)
Elias, H.      226(166) 282 286 290(166)
Ellipsoid      249 291
Elliptic n.e. space      300
Envelope      2
Equations of Rodrigues      264 302 320
Euclidean space $E_{n}$      196
Euler characteristic      113
Euler — Poincare characteristic      223
Eulerian graph      42
Exact differential form      359
Exterior derivative      144 358
Exterior differential      358
Exterior product      353—357
External cover      32
Fairthone, D.      49
Fary, I.      35 254 255
Fast, H.      31(171)
Favard length      31
Favard measure      248
Favard, J.      31 248
Fazekas de St. Groth, S.      327
Federer, H.      248 260 276 277 303
Fejes Toth, L.      127(181) 137(179)
Feller, W.      41
Fenchel, W.      1 3(63) 4(63) 8(63) 126 215(63) 217 231(63) 249(63) 254 267(63)
Fields of convex sets      100 278
Fields of cylinders      278
Figiel, T.      218(188)
Filipescu, D.      98 280(190 191)
Fillmore, J.P.      315
Firey, W.J.      10(192) 215(195) 231 249 333
Fisher, L.D.      23
Fisher, R.A.      24 294(199)
Fixed frame      87
Flaherty, F.J.      276
Flanders, H.      12 125 147 353
Flattened convex body      227
Fleming, W.H.      12 362
Foliated spaces      330
Foliation      331
Forms linearly independent      357
Forms of degree r      356
Fratila, E.      72(205)
Fujiwara, M.      120
Fukunaga, K.      294(206a)
Functions over straight lines      60
Fundamental kinematic formula      113—115 262—266
Fundamental kinematic formula for convex sets      267
Fundamental kinematic formula for cylinders      270 271
Fundamental kinematic formula for strips      118
Fundamental kinematic formula in n.e. spaces      320 321
Fundamental quadric      299
Fundamental region      128
Funk, P.      347
Furstenberg, H.      249
Gaeta, F.      171(211)
Gamma distribution      18
Gani, J.      26
Garwood, F.      24 67(213)
Gaspar, E.      75(216)
Gauss — Bonnet formula      302
Gaussian distribution      291
Geciauskas, E.P.      48 63 103(219) 108(217)
Geffroy, J.      23
Gelfand's integral geometry      345
Gelfand, I.M.      345 346 347 348
General affine group      180 182
General linear group GL(n)      149
Geodesic curvature      303
Geodesic segments      338
Geodesics      331
1 2 3
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2017
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте