<p>One of the most important chapters in modern functional analysis is the theory of approximate methods for solution of various mathematical problems. Besides providing considerably simplified approaches to numerical methods, the ideas of functional analysis have also given rise to essentially new
Approximate solutions of operator equations
β Scribed by Mingjun Chen; Zhongying Chen; G Chen
- Publisher
- World Scientific
- Year
- 1997
- Tongue
- English
- Leaves
- 353
- Series
- Series in approximations and decompositions, vol. 9
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
These selected papers of S.S. Chern discuss topics such as integral geometry in Klein spaces, a theorem on orientable surfaces in four-dimensional space, and transgression in associated bundles Ch. 1. Introduction -- Ch. 2. Operator Equations and Their Approximate Solutions (I): Compact Linear Operators -- Ch. 3. Operator Equations and Their Approximate Solutions (II): Other Linear Operators -- Ch. 4. Topological Degrees and Fixed Point Equations -- Ch. 5. Nonlinear Monotone Operator Equations and Their Approximate Solutions -- Ch. 6. Operator Evolution Equations and Their Projective Approximate Solutions -- App. A. Fundamental Functional Analysis -- App. B. Introduction to Sobolev Spaces
π SIMILAR VOLUMES
This book offers an elementary and self-contained introduction to many fundamental issues concerning approximate solutions of operator equations formulated in an abstract Banach space setting, including important topics such as solvability, computational schemes, convergence stability and error esti
<p>This volume consists of the proceedings of the NATO Advanced Research Workshop on Approximation by Solutions of Partial Differential Equations, Quadrature Formulae, and Related Topics, which was held at Hanstholm, Denmark. <br/> These proceedings include the main invited talks and contributed pap
Translated by R. E. Flaherty.