This book addresses interconnections between contemporary advances
in mathematics, especially algebra, with applications in the social
sciences and the arts. It promotes the idea that knowledge cannot
remain in disciplinary silos, rather, it belongs to all people, and
is dedicated to associative relationships in a variety of
mathematics applications, from sociology to linguistics, including
anthropology, semiotics, education, and cognitive science.
Contributions illuminate some of the ways in which algebra is
developed, learned, understood, communicated, and applied in the
social sciences and the humanities. The content in this book has
its origins in a conference, Mathematics for Social Sciences and
Arts–Algebraic Modelling, virtually hosted by the Faculty of
Mechanical Engineering, University of Niš, Serbia, from the 24th
to the 26th of May, 2021. This conference brought together scholars
from various disciplines and geographic regions and focused on the
juxtaposition of algebra and social science applications. The
conference organizers, higher education institutes from four
different continents, invited leading scientists in social sciences
and algebra, to contribute to this volume. The first part of this
book addresses algebraic and mathematical thinking, specifically
learning and practicing mathematics from a cognitive science
perspective, as well as illustrative applications to distinctly
human concerns, like education and semiotics. The second part
focuses on algebraic semigroups and some of their generalizations.
This book and the conference that engendered it provide an example
of a fruitful collaboration, in which the skills and deep knowledge
of algebraic structures, modeling, social sciences and arts brought
in by the authors from different countries and continents merge in
harmonious ways. These expositions are a rich resource and are of
interest both to mathematicians and non-mathematicians.
General
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