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Relational mathematics
Autor: Schmidt, Gunther
Rok: 2011
ISBN: 9780521762687
OKCZID: 110758044
Vydání: First published
Citace (dle ČSN ISO 690):
SCHMIDT, Gunther. Relational mathematics. First published. Cambridge: Cambridge University Press, 2011. xiii, 567 stran. Encyclopedia of mathematics and its applications, 132.
Anotace
Relational mathematics is to operations research and informatics what numerical mathematics is to engineering: it is intended to help modelling, reasoning, and computing. Its applications are therefore diverse, ranging from psychology, linguistics, decision aid, and ranking to machine learning and spatial reasoning. Although many developments have been made in recent years, they have rarely been shared amongst this broad community of researchers. This first comprehensive overview begins with an easy introduction to the topic, assuming a minimum of prerequisites; but it is nevertheless theoretically sound and up to date. It is suitable for applied scientists, explaining all the necessary mathematics from scratch using a multitude of visualised examples, via matrices and graphs. It ends with tangible results on the research level. The author illustrates the theory and demonstrates practical tasks in operations research, social sciences and the humanities.