Optimization and nonstandard analysis

書誌事項

Optimization and nonstandard analysis

J.E. Rubio

(Monographs and textbooks in pure and applied mathematics, 184)

Dekker, c1994

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注記

Includes bibliographical references (p. 265-351) and index

内容説明・目次

内容説明

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.

目次

  • 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.

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