Theory of Global Random Search

1991
ISBN: 978-0-7923-1122-5
Verlag: Springer Netherlands

Buch, Englisch, Band 65, 341 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 1520 g

Reihe: Mathematics and Its Applications

One service mathematics has rendered the 'Et moi,.• si j'avait su comment en revenir. je n'y serais point aIle.' human mee. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non­ The series is divergent; therefore we may be sense'. Eric T. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non­ linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics.'; 'One service logic has rendered com­ puter science.'; 'One service category theory has rendered mathematics.'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Zielgruppe

Research

Autoren/Hrsg.

Zhigljavsky, Anatoly A.

Pintér, János D.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Mathematik | Informatik Mathematik Operations Research Spieltheorie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

1 Global Optimization: An Overview.- 1. Global Optimization Theory: General Concepts.- 2. Global Optimization Methods.- 2. Global Random Search.- 3. Main Concepts and Approaches of Global Random Search.- 4. Statistical Inference in Global Random Search.- 5. Methods of Generations.- 6. Random Search Algorithms for Solving Specific Problems.- 3. Auxiliary Results.- 7. Statistical Inference for the Bounds of Random Variables.- 8. Several Problems Connected with Global Random Search.- References.