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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
Torres, P.      234
Torunczyk, H.      94
Transversal differential operators      252
Transversal eigenvalue      161
Triangulation of a polyhedron      178
Trudinger, N.S.      54 58 60
Truncating expansions      216
Tu, J.L.      94
Tychonoff space      187
Tychonoff, A.N.      157 176 187 189
Typologically complete      181
Uglesie, N.      197
Uhl, J.J.      243
Uhlenbeck, K.      101 122
Uniform embeddings      75
van Duijn, C.J.      57
Varadhan, S.R.S.      27 57 103 104 120
Variational Principle      241
Vatsala, A.S.      149
Vega, J.M.      58
Vegas, J.M.      109 113 114 121 123
Vegter, G.      233
Verona, M.E.      240 244
Villadelprat, J.      228 233
Villari, G.      207 2l4
Volterra, V.      xii 59
Vyborny, R.      108 120
Walsh, J.J.      94 189
Walter, W.      17 60
Ward, M.J.      109 123
Watanabc, T.      188 190 197 198
Weinberger, H.F.      16 17 59
Weinberger, S.      93
Weiss, S.A.      155 173
Westreich, D.      162 176
Whyburn, G.T.      170 176
Winkler, S.      219 234
Wintner, A.      129 1 10
Wloka, J.T.      164 176
Wronski, H.      221
Yan, P.      221 234
Yu, G.      72 75 76 80 81 93 94
Zabreiko, P.P.      228 233
Zajicek, I.      239
Zarulea, A.V.      198
Zhang, M.      221 233 234
Zorn, M.      238
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