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Geometrical Methods of Nonlinear Analysis

Engels | Druk: 1 | Paperback | 9783642694110 | 412 pagina's

M. A. Krasnoselskii, P. P. Zabreiko - 9783642694110

 

Engels | Druk: 1 | Paperback | 9783642694110 | 412 pagina's

Geometrical (in particular, topological) methods in nonlinear analysis were originally invented by Banach, Birkhoff, Kellogg, Schauder, Leray, and others in existence proofs. Since about the fifties, these methods turned out to be essentially the sole approach to a variety of new problems: the investigation of iteration processes and other procedures in numerical analysis, in bifur cation problems and branching of solutions, estimates on the number of solutions and criteria for the existence of nonzero solutions, the analysis of the structure of the solution set, etc. These methods have been widely applied to the theory of forced vibrations and auto-oscillations, to various problems in the theory of elasticity and fluid. mechanics, to control theory, theoretical physics, and various parts of mathematics. At present, nonlinear analysis along with its geometrical, topological, analytical, variational, and other methods is developing tremendously thanks to research work in many countries. Totally new ideas have been advanced, difficult problems have been solved, and new applications have been indicated. To enumerate the publications of the last few years one would need dozens of pages. On the other hand, many problems of non linear analysis are still far from a solution (problems arising from the internal development of mathematics and, in particular, problems arising in the process of interpreting new problems in the natural sciences). We hope that the English edition of our book will contribute to the further propagation of the ideas of nonlinear analysis.

 

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Geometrical Methods of Nonlinear Analysis Engels | Druk: 1 | Paperback | 9783642694110 | 412 pagina's
TaalEngels
BindwijzePaperback
Druk1
Verschijningsdatumnovember 2011
Aantal pagina's412 pagina's
IllustratiesNee
Auteur(s)M. A. Krasnoselskii | P. P. Zabreiko | P. P. Zabreiko
UitgeverSpringer
Vertaald doorC. Fenske
Extra groot lettertypeNee
Gewicht657 g
StudieboekJa
Verpakking breedte155 mm
Verpakking hoogte23 mm
Verpakking lengte235 mm



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