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From Physics to Philosophy: Models and mathematics in physics: the role of group theory
, 1999S. French
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On the Mathematical Theory of Interaction in Social Groups
IEEE Transactions on Systems, Man, and Cybernetics, 1974Sociology is an area in which there are a great many verbal propositions concerning the behavior of human groups under various conditions. If we accept the fact that it makes sense to discuss and analyze social phenomena in terms of quantities that are not precisely defined in a mathematical sense (such as the levels of joint activity, interaction, and
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Discrete dynamical systems in group theory
, 2013In this expository paper we describe an unifying approach for many known entropies in Mathematics. First we recall the notion of semigroup entropy h_S in the category S of normed semigroups and contractive homomorphisms, recalling also its properties ...
D. Dikranjan, A. Bruno
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Group theory for school mathematics
The Mathematics Teacher, 1962Some examples of groups found in our everyday mathematics and some theorems.
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Corequisite Mathematics Remediation: Results Over Time and in Different Contexts
Educational Evaluation and Policy Analysis, 2019Traditional mathematics remediation is based on the theory that traditional mathematics remedial courses increase students’ subsequent academic performance. However, most students assigned to these courses do not pass them and thus cannot graduate.
Alexandra W. Logue +2 more
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The Character Theory of Finite Groups of Lie Type
, 2020Through the fundamental work of Deligne and Lusztig in the 1970s, further developed mainly by Lusztig, the character theory of reductive groups over finite fields has grown into a rich and vast area of mathematics.
M. Geck, G. Malle
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Mathematical Methods for Physics
2022This detailed yet accessible text provides an essential introduction to the advanced mathematical methods at the core of theoretical physics. The book steadily develops the key concepts required for an understanding of symmetry principles and topological structures, such as group theory, differentiable manifolds, Riemannian geometry, and Lie algebras ...
Esko Keski-Vakkuri +2 more
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The Mathematics of Symmetry: Group Theory
1995The conceptual approach to symmetry, which is the subject of Chapters 8–10, is the best approach for understanding the concepts involved in symmetry and the significance of symmetry in science. (The reader choosing the “concept” track will have finished reading those chapters at this point.) Such understanding is, indeed, very important.
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