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Geometrical Methods of Nonlinear Analysis (Grundlehren der mathematischen Wissenschaften) by M. A. Krasnoselskii, P. P. Zabreiko, C. Fenske is a nonfiction available to read on EtoBox.

What is Geometrical Methods of Nonlinear Analysis (Grundlehren der mathematischen Wissenschaften) about?

The methods we deal with in the present book originated long ago. They date back to Kronecker, Poincare, Brouwer, and Hopf who developed the topological theory of continuous mappings in finite dimensional spaces. A second stream of ideas originated from the investigations of Birkhoff and Kellogg, Banach, Cacciopoli, Schauder, and A.N. Tihonov on fixed point theory. A major contribution was supplied by the work of A.M. Ljapunov, E. Schmidt, A.I. Nekrasov, P.S. Uryson, Hammerstein, and Golomb on the theory of various classes of integral equations as well as by L.A. Ljusternik's work on variational problems. The contributions by N.N. Bogoljubov and N.M. Krylov, M.V. Keldys, G.I. Petrov, and A.I. Lur'e to projection methods for approximate solutions of equations particularly influenced the development of methods in nonlinear operator equations. These methods are fundamental to many schemes of construction of topological invariants for mappings in infinite dimensional spaces. In the course of constructing these methods, ideas from L.V. Kantorovic's approximation theory proved very useful. The last fifteen to twenty years, finally, brought novel approaches and solutions to new problems.

Who reads Geometrical Methods of Nonlinear Analysis (Grundlehren der mathematischen Wissenschaften)?

Author

M. A. Krasnoselskii, P. P. Zabreiko, C. Fenske

Publisher

Springer Spektrum. in Springer-Verlag GmbH

Published

1984

Language

EN

ISBN

9780387129457

Category

nonfiction

Subjects

Mathematics, Stem