Nonlinear Functional Analysis and Its Applications 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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E. Zeidler 作者

Springer

Boron, Leo F. 译者

1989-12-11 出版日期

485 页数

USD 159.00 价格

Hardcover

丛书系列

9780387968025 图书编码

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Nonlinear Functional Analysis and Its Applications 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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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 II concerns the theory of monotone operators. It is divided into two subvolumes, II/A and II/B, which form a unit. The present Part II/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.

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