Nonlinear Functional Analysis and its Applications by E Zeidler

Nonlinear Functional Analysis and its Applications by E Zeidler

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Nonlinear Functional Analysis and its Applications by E Zeidler

This is the second of a five-volume exposition of the main principles of nonlinear functional analysis and its applications to the natural sciences, economics, and numerical analysis. The presentation is self -contained and accessible to the nonspecialist. Part I concerns the theory of monotone operators. It is divided into two subvolumes, I/A and I/B, which form a unit. The present Part I/A is devoted to linear monotone operators. It serves as an elementary introduction to the modern functional analytic treatment of variational problems, integral equations, and partial differential equations of elliptic, parabolic and hyperbolic type. This book also represents an introduction to numerical functional analysis with applications to the Ritz method along with the method of finite elements, the Galerkin methods, and the difference method. Many exercises complement the text. The theory of monotone operators is closely related to Hilbert's rigorous justification of the Dirichlet principle, and to the 19th and 20th problems of Hilbert which he formulated in his famous Paris lecture in 1900, and which strongly influenced the development of analysis in the twentieth century.
SKU Nicht verfügbar
ISBN 13 9781461269694
ISBN 10 1461269695
Titel Nonlinear Functional Analysis and its Applications
Autor E Zeidler
Buchzustand Nicht verfügbar
Bindungsart Paperback
Verlag Springer-Verlag New York Inc.
Erscheinungsjahr 2013-11-14
Seitenanzahl 741
Hinweis auf dem Einband Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
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