Overview
- Is a tribute to Professor Pedro Gil, who created the Department of Statistics, OR and TM at the University of Oviedo, and a former President of the Spanish Society of Statistics and OR (SEIO)
- Presents over eighty original contributions, predominantly addressing Pedro Gil’s main research field: the Math of the Uncertain (Randomness, Imprecision, Communication, among others)
- Written by respected experts in the field
Part of the book series: Studies in Systems, Decision and Control (SSDC, volume 142)
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Table of contents (85 chapters)
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The Mathematics of Chance: Probability, Statistics and Applications
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The Mathematics of Communication: Information Theory and Applications
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The Mathematics of Imprecision: Fuzzy Sets and other Theories and Approaches
Keywords
About this book
This book is a tribute to Professor Pedro Gil, who created the Department of Statistics, OR and TM at the University of Oviedo, and a former President of the Spanish Society of Statistics and OR (SEIO). In more than eighty original contributions, it illustrates the extent to which Mathematics can help manage uncertainty, a factor that is inherent to real life. Today it goes without saying that, in order to model experiments and systems and to analyze related outcomes and data, it is necessary to consider formal ideas and develop scientific approaches and techniques for dealing with uncertainty. Mathematics is crucial in this endeavor, as this book demonstrates. As Professor Pedro Gil highlighted twenty years ago, there are several well-known mathematical branches for this purpose, including
- Mathematics of chance (Probability and Statistics),
- Mathematics of communication (Information Theory), and
- Mathematics of imprecision (FuzzySets Theory and others).
These branches often intertwine, since different sources of uncertainty can coexist, and they are not exhaustive. While most of the papers presented here address the three aforementioned fields, some hail from other Mathematical disciplines such as Operations Research; others, in turn, put the spotlight on real-world studies and applications.
The intended audience of this book is mainly statisticians, mathematicians and computer scientists, but practitioners in these areas will certainly also find the book a very interesting read.
Editors and Affiliations
Bibliographic Information
Book Title: The Mathematics of the Uncertain
Book Subtitle: A Tribute to Pedro Gil
Editors: Eduardo Gil, Eva Gil, Juan Gil, María Ángeles Gil
Series Title: Studies in Systems, Decision and Control
DOI: https://doi.org/10.1007/978-3-319-73848-2
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing AG 2018
Hardcover ISBN: 978-3-319-73847-5Published: 12 March 2018
Softcover ISBN: 978-3-030-08869-9Published: 03 January 2019
eBook ISBN: 978-3-319-73848-2Published: 28 February 2018
Series ISSN: 2198-4182
Series E-ISSN: 2198-4190
Edition Number: 1
Number of Pages: XXV, 917
Number of Illustrations: 124 b/w illustrations
Topics: Computational Intelligence, Artificial Intelligence, Systems Theory, Control, Operations Research/Decision Theory
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