Mathematics for Social Sciences and Arts: Algebraic Modeling (Mathematics in Mind) 1st Edition Mahouton 3031377923 9783031377921

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Product details:

• ISBN 10: 3031377923
• ISBN 13: 9783031377921
• Author: Mahouton Norbert Hounkonnou

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 thejuxtaposition 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.

Table of contents:

Part I. Algebraic Thinking and Modeling

Problematic of Mathematics, Social Sciences, and Arts: A Ubiquitous Constructive Interaction in Algebraic Modeling

Algebra as a Semiotic Modeling System

The “Unreasonable” Effectiveness of Mathematical Modeling

Algebra and Modeling in Mathematics School Curricula

Gödel’s Incompleteness as an Argument for Dualism

Vetoing: Social, Logical and Mathematical Aspects

Part II. Semigroups and Other Algebraic Structures in Social Sciences

Constructive Semigroups with Apartness: A State of the Art

Algebraic Approaches to the Analysis of Social Networks

Relational Systems of Transport Network and Provinces in Ancient Rome

Time and Sequence in Networks of Social Interactions

Algebraic Structures and Social Processes

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