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Study Hans-Walter Bandemer, H. Bandemer, Mathematics of Uncertainty: Ideas, Methods, Application Problems

Posted on 2010-03-15




Name:Study Hans-Walter Bandemer, H. Bandemer, Mathematics of Uncertainty: Ideas, Methods, Application Problems
ASIN/ISBN:3540284575
Language:English
File size:3 Mb
Publisher: Springer
Publish Date: 2005-12-01
ISBN: 3540284575
File Type: PDF
File Size: 3 MB
Other Info: Number Of Pages: 208
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Hans-Walter Bandemer, H. Bandemer, Mathematics of Uncertainty: Ideas, Methods, Application Problems

"Mathematics of Uncertainty" provides the basic ideas and foundations of uncertainty, covering the fields of mathematics in which uncertainty, variability, imprecision and fuzziness of data are of importance. This introductory book describes the basic ideas of the mathematical fields of uncertainty from simple interpolation to wavelets, from error propagation to fuzzy sets and neural networks. The book presents the treatment of problems of interpolation and approximation, as well as observation fuzziness which can essentially influence the preciseness and reliability of statements on functional relationships. The notions of randomness and probability are examined as a model for the variability of observation and measurement results. Besides these basic ideas the book also presents methods of qualitative data analysis such as cluster analysis and classification, and of evaluation of functional relationships such as regression analysis and quantitative fuzzy data analysis.

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