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OverviewFull Product DetailsAuthor: Juan Ferrera (Universidad Complutense de Madrid, Spain) , J. Lopez-Gomez (Universidad Complutense de Madrid, Spain) , F.R. Ruiz del Portal (Universidad Complutense de Madrid, Spain)Publisher: Elsevier Science & Technology Imprint: Elsevier Science Ltd Dimensions: Width: 2.40cm , Height: 1.90cm , Length: 16.50cm Weight: 0.660kg ISBN: 9780444518613ISBN 10: 0444518614 Pages: 284 Publication Date: 26 April 2005 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Out of Print Availability: In Print  Limited stock is available. It will be ordered for you and shipped pending supplier's limited stock. Table of ContentsMaximum principles and principal eigenvalues (H. Amann). On some approximation problems in topology (A. N. Dranishnikov). Eigenvalues and perturbed domains (J. K. Hale). Monotone approximations and rapid convergence (V. Lakshmikantham). Spectral theory and nonlinear analysis (J. López-Gómez). Approximating topological spaces by polyhedra (S. Mardesic). Periodic solutions in the golden sixties: the birth of a continuation theorem (J. Mawhin). The stability of the equilibrium: a search for the right approximation (R. Ortega). The Bishop--Phelps theorem (R. R. Phelps). An essay on some problems of approximation theory (A. G. Ramm).ReviewsThis 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. The contains cover 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 of conjectures 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. Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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