Nonlinear Functional Analysis and its Applications
Nonlinear Functional Analysis and its Applications
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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 | Unavailable |
| ISBN 13 | 9781461269694 |
| ISBN 10 | 1461269695 |
| Title | Nonlinear Functional Analysis and its Applications |
| Author | E Zeidler |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer-Verlag New York Inc. |
| Year published | 2013-11-14 |
| Number of pages | 741 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |