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Ferrera J. (Ed), Lopez-Gomez J. (Ed) — Ten Mathematical Essays on Approximation in Analysis and Topology
Ferrera J. (Ed), Lopez-Gomez J. (Ed) — Ten Mathematical Essays on Approximation in Analysis and Topology

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Название: Ten Mathematical Essays on Approximation in Analysis and Topology

Авторы: Ferrera J. (Ed), Lopez-Gomez J. (Ed)

Аннотация:

This book collects 10 mathematical essays on approximation in Analysis and Topology by some of the most influent mathematicians of the last third of the 20th Century. Besides the papers contain the very ultimate results in each of their respective fields, many of them also include a series of historical remarks about the state of mathematics at the time they found their most celebrated results, as well as some of their personal circumstances originating them, which makes particularly attractive the book for all scientist interested in these fields, from beginners to experts. These gem pieces of mathematical intra-history should delight to many forthcoming generations of mathematicians, who will enjoy some of the most fruitful mathematics of the last third of 20th century presented by their own authors.



This book covers a wide range of new mathematical results. Among them, the most advanced characterisations of very weak versions of the classical maximum principle, the very last results on global bifurcation theory, algebraic multiplicities, general dependencies of solutions of boundary value problems with respect to variations of the underlying domains, the deepest available results in rapid monotone schemes applied to the resolution of non-linear boundary value problems, the intra-history of the the genesis of the first general global continuation results in the context of periodic solutions of nonlinear periodic systems, as well as the genesis of the coincidence degree, some novel applications of the topological degree for ascertaining the stability of the periodic solutions of some classical families of periodic second order equations,
the resolution of a number ofconjectures related to some very celebrated approximation problems in topology and inverse problems, as well as a number of applications to engineering, an extremely sharp discussion of the problem of approximating topological spaces by polyhedra using various techniques based on inverse systems, as well as homotopy expansions, and the Bishop-Phelps theorem.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2005

Количество страниц: 270

Добавлена в каталог: 23.05.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Abraham, R.      101 120
Absolute extensor      85
Adjoint problem      4
Afexandroff, P.S.      65 83 88 92 178 185 195 198 204
Agarwal, R.P.      129
Alder, M.D.      181 195
Alexander duality      88
Alexander, J.P.      88
Algebraic ascent      160
Algebraic eigenspace      9
Algebraic eigenvalue      162
Algebraic multiplicity      9 160 161 163
Algebraic partial multiplicity      166
Alternative method      201
Amann, H.      1 56 155 173 233
Angcncnt, S.      57
Anti-Cech approximation      64
Apodization method      258
Approximate resolution      190
Approximation by entire functions      257
Approximation by scattering solutions      255
Arcndt, W.      20 56 57
Arhangel'skii, A.      195
Arnold, V.I.      216 233
Arrieta, J.M      103 105—114 116—120
Arzela, C.      127 212
Ascoli, G.      127 212
Asplund spaces      240
Asplund, E.      240
Asymptotic dimension      65 80
Avez, A.      233
Babuska, I.      108 120
Bacon, P.      188 195
Batty, Ch.J.K.      57
Baum, P.      74 75 93 94
Beale, J.T.      109 120
Bellman, R.      129 140 148 149
Beltramo, A.      57
Benevieri, P.      159 173 174
Bensoussan, A.      116 120
Berestycki, H.      27 57 103 104 120
Best approximation problem      125
Betti, F.      195
Bifurcation equation      202
Bifurcation point      154
Birindelli, I.      57
Birkhoff normal form      233
Birkhoff, G.D.      233
Bishop — Phelps properly      239
Bishop — Phelps theorem      237
Bishop, E.      235 244
Bockstein dual      85
Bockstein family of abelian groups      84
Bockstein functions      84
Bockstein, M.F.      84 85 88 90 92
Bogatyi, S.      195
Boltyanskij, V.G.      84 92
Bonding mappings      178
Boundary Diriehlet operator      8
Boundary identification map      7
Boundary Neumann operator      8
Boundary operator      7
Boundary Robin operator      8
Bourbaki, N.      237 243
Bourgain, J.      239
Bourgin, R.D.      243
Brawdcr, F.E.      159 241
Brawn, M.      228 233
Broer, H.W.      220 2 13
Brondsted, A.      241 243
Brouwer, L.E.J.      xi 152 157 174 199 204 209 228 233
Brown, R.      109 120
Bunch, S.      xi xii 9 10 15 21 27 35 37 40 43 49 54 57 66 77 78 97 125 149 152 153 173—175 200 203 210 234—244
Canlrcll, R.S.      57
Cano-Casanova, S.      20 57
Cantor, G.      1454
Caratheodory, C.      129 133 135 140
Carl, S.      149
Carrier of a geometric complex      178
Cauchy, A.L.      57 126 205 211
Cayley, A.      63
Cech approximation      64
Cech, E.      61 64—69 72—74 76 77 79 184 198
Cencelj, M.      92
Cesari, L.      199 204 206 208 209 211
Charalambous, M.G.      182 183 188 195 196
Chavel, I.      109 120
Cheeger, J.      78
Chicco, M.      57
Chow, S.N.      121 160 174
Ciuperca, I.S.      109 120
Clement, Ph.      17 57
Coarse dilatation      67
Coarse embedding      75
Coarsely equivalent      63
Coddington, F.A.      129 130
Cofinite system      179
Cohomological dimension      83
Coincidence degree      210
Compact component      170 1711
Compact Hausdorff space      180
Compact mapping      205
Compact operator      153
Compact polyhedron      178
Conjecture of Baum — Connes      74
Conjecture of dimension approximation      88
Conjecture of Novlkov      61 74
Conjecture of simple approximation      88
Conjecture of Yu      76
Connes, A.      74 75 92—94
Conormal      7
Conti, R.      200 214
Continuation theorems      210
Convergent domains      21
Cooperative boundary value problem      8
Cooperative conditions      3
Coupled weak lower and upper solutions of type I      135
Coupled weak lower and upper solutions of type II      135
Courant, R.      ix x 96 98 107—109 120
Cover nerve      35
Crandall, M.G.      162 164 174
Cronin, J.      204—206 213
Cronin, J.K.      199
Dancer, E.N.      57 108 109 120 121 169 174 228 233
Dancrs, D.      20 24 57 108 109 121
Dautray, R.      57
Davies, E.B.      58
de Figueiredo, D.G.      58
De Giorgi, E.      116 121
de Pagter, B.      15 57 58
de Thelin, F.      58
Deimling, K.      130 149 159 174
Denk, R.      58
Derwidue, L.      207 213
Diestet J.      243
Dieudonne, J.      181
Differential equations, strongly nonlinear      199
Differential equations, weakly nonlinear      199
Dimension type      84
Dini, U.      127
Dirichlet form      8
Dirichlet, G.L.      1 2 5 6 8 15 17—20 24—27 48 52 57 60 96 101 103 104 106—109 115 117 118
Discrete geodesic metric Space      64
Dolgupolova, T.      260
Dranislmikov, A.N.      61 92 93
Dual order      10
Duffing, G.      207 215 216 232
Dulling equation      207 216
Edwards, R.D.      189
Eigenvalue of $\mathfrak{L} (\lambda)$      154
Eigenvalue order      162
Eigenvalue perturbation      48 49
Eigenvalue problem      4
Eigenvalue, algebraic      162
Eigenvalue, double      112
Eigenvalue, logarithmic residue      167
Eigenvalue, nonlinear      155
Eigenvalue, principal      13 15
Eigenvalue, simple      5 9 100
Eigenvalue, transversal      161
Eigenvector rank      165
Eilenberg, S.      83 182 196
Ekeland      241 243
Engelking, R.      196
Epsilon-capacity      63
Equivalence of domains      105
Eric, D.      228 233
Escher, J.      56
Esquinas, L.      160 161 174
Euclidean anli-Ceeh V-approximation      67
Euler, L.      97 23
Expander      77
Ezeilo, J.O.C.      207 213
Faure, R.      207 213
Feldman, E.A.      109 120
Ferry, S.      93
Fiedler, B.      120
Fitzpatriek, P.M.      159 160 174
Fleekinger, J.      58
Floquct, G.      221 225 228 230
Forced Lienard equation      206
Fourier, J.D.J.      58 140 202 203 248 249 257—260
Fraile, J.M.      58
Frechet, M.      153 240 242
Fredhoim, I.      101 154 161 164 173 210 211 243
Fredholm operator      154
Freudenthal, H.      180 186 190 196
Froebenius, G.      58
Furi, M.      159 173 174
Gaines, R.R.      213
Galerkin approximation      204
Galerkin, B.G.      204
Galilei, G.      ix xii
Garabedian, P.      100 121
Gateaux, R.      240
Gauss, K.F.      56
Generecity of simple eigenvalues      101
Generic properly      101
Geodesic metric space      63
Geometric simplicial complex      178
Germain, P.      122
Gilbarg, D.      58
Global alternative of Rabinowitz      169
Godefroy, G.      238
Goehberg, I.C.      164 166 168 174
Goldberg, S.      174
Golubitsky, M.      174
Gomory, R.      205 207 213
Gong, G.      93
Grabosch, A.      57
Green, G.      6 11 25 33 37 101 200 208 255
Greiner, G.      57 58
Groeger, K.      120
Groh, U.      57
Gromov, M.      65 78 92 93
Guessefeldt, G.      209 213
Hadamard, J.      100 121 122
Hahn, H.      235 236 240
Hale, J.K.      95 108—114 120 121 160 174 199—201 208 213
Hamilton, W.R.      216 218 233
Hamiltonian mechanics      216
Han, W.      109 114 120
Hartman, Ph.      129 130 149
Hausdorff continuum      184
Hausdorff space      180
Hausdorff, F.      108 177 180 181 183—190
Heijmans, H.J.A.M.      57
Heikkilae, S.      149
Helmholtz, H. von      121
Hempel, R.      109 121
Henry, D.      97 99 101 102 121 122
Henshaw, W.D.      109 123
Hernandez, J.      58
Hess, P.      57 58
Hieber, M.      57 58
Higher signature      74
Higson, N.      81 82 93
Hilbert, D.      ix—xii 66 75 93 94 96 98 108 109 120 244
Hill equation      219
Hill, G.W.      219 220 233 234
Hirsch, M.W.      58
Hirzebruck, R.      74
Hislop, P.D.      109 120 121
Hoelder, O.      71
Homotopy expansion      193
Hopf, E.      60
Hopf, H.      185 204
Hounded geometry      63
Inverse limit      179
Inverse sequence      179
Inverse system of spaces      178
Irreducible coperative system      25
Irreducible matrix      14
Irreducible pair      5 15
Irreducible positive linear operator      29
Irreducible semigroup      29
Irreducible, strongly      29
Isolating neighborhood      171
Ivanov, V.      260
Ize, J.      160 164 169 174
Jacobi, C.G.J.      201 221
James, R.      236
Jarodz, K.      244
Jimbo, S.      109 112 113 121
Johnson, R.T.      122
Jordan chain canonical set      166
Jordan chain concept      165
Jordan chain length      165
Jordan chain of class type      165
Jordan chain, maximal      165
Jordan, C.      107 157 164—167 176 220
Joseph, D.      100 121
Kaashoek, M.A.      174
Kalaba, R.      140 149
KAM theory      216
Kamke, F.      130 149
Kasavan, S.      121
Kato, T.      174
Katsevich, A.I.      262
Keller, J.B.      109 123
Kesavan, S.      116
Kielhoefer, H.      164 175
Kinderlehrer, D.      59
Klee, V.      237
Klee, V.L.      243
Knaster, B.      184
Knobloch, H.W.      202 213
Koch Medina, P.      58
Koeksal, S.      149
Kolmogorov, A.N.      216 233
Krasnosel'skii, M.A.      160 164 175 176 204 213 228 233
Krein, M.G.      15 40 43 174
Kuenneth, H.      88
Kuhn, T.S.      xi
Kulpa, W.      196
Kunstmann, P.Ch.      59
Ladde, G.S.      149
Lafforgue, V.      93
Lagrange, J.L.      97
Lakshmikantham, V.      125 129 130 149
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