Integral, Measure, and Ordering by Beloslav RiecanIntegral, Measure, and Ordering by Beloslav Riecan

Integral, Measure, and Ordering

byBeloslav Riecan

Paperback | December 3, 2010

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This book is concerned with three main themes. The first deals with ordering structures such as Riesz spaces and lattice ordered groups and their relation to measure and integration theory. The second is the idea of fuzzy sets, which is quite new, particularly in measure theory. The third subject is the construction of models of quantum mechanical systems, mainly based on fuzzy sets. In this way some recent results are systematically presented. Audience: This volume is suitable not only for specialists in measure and integration theory, ordered spaces, probability theory and ergodic theory, but also for students of theoretical and applied mathematics.
Title:Integral, Measure, and OrderingFormat:PaperbackDimensions:392 pages, 9.25 × 6.1 × 0 inPublished:December 3, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048148553

ISBN - 13:9789048148554

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Table of Contents

1. Sets and Fuzzy Sets. 2. Null Sets and Small Systems. 3. Measures on Ordered Spaces. 4. Subadditive Measures. 5. The Kurzweil Integral in Ordered Spaces. 6. Quantum Logics. 7. Fuzzy-Quantum Spaces. 8. Fuzzy Quantum Logics. 9. Probability on MV Algebras. 10. The Entropy of Fuzzy Dynamical Systems. 11. Measurability and Integrability of Multifunctions. Appendix A: D-Posets. Appendix B: Notes on Order Convergence and Order Topology. References. Index.