Optimization and Nonstandard Analysis
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Table of contents:Optimization and Non-standard Analysis; Further Concepts and Applications; Measure Theory and Infinite-Dimensional Linear Programming; Linear Spaces, a Variational Principle, and Penalties; The Control of Homogenized Systems; Distributions; References; Exercise.This text presents an up-to-date overview of optimization and control theory, including existence theory, modelling, approximation and numerical methods. It also provides a self-contained treatment of the theory and practice of non-standard analysis and its applications, illustrated with problems and research material ...
Table of contents:
Optimization and Non-standard Analysis; Further Concepts and Applications; Measure Theory and Infinite-Dimensional Linear Programming; Linear Spaces, a Variational Principle, and Penalties; The Control of Homogenized Systems; Distributions; References; Exercise.
This text presents an up-to-date overview of optimization and control theory, including existence theory, modelling, approximation and numerical methods. It also provides a self-contained treatment of the theory and practice of non-standard analysis and its applications, illustrated with problems and research material based on optimization theory. A complete set of detailed exercises and a thorough bibliography arranged by topic are included.;College or university bookstores may order five or more copies at a special student price, available upon request.
Optimization and Non-standard Analysis; Further Concepts and Applications; Measure Theory and Infinite-Dimensional Linear Programming; Linear Spaces, a Variational Principle, and Penalties; The Control of Homogenized Systems; Distributions; References; Exercise.
This text presents an up-to-date overview of optimization and control theory, including existence theory, modelling, approximation and numerical methods. It also provides a self-contained treatment of the theory and practice of non-standard analysis and its applications, illustrated with problems and research material based on optimization theory. A complete set of detailed exercises and a thorough bibliography arranged by topic are included.;College or university bookstores may order five or more copies at a special student price, available upon request.