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Mathematical components for groups theory
Formal proof systems have evolved considerably in recent years. Success stories like formal proofs of the four color theorem or the prime numbers theorem have shown that formal proof systems have reached a level of maturity that enables them to tackle non-trivial mathematical problems.
Sidi Ould Biha
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Book Review: Mathematical Crystallography and the Theory of Groups of Movements [PDF]
Robyn Baker
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Mathematical crystallography and the theory of groups of movementsby H. Hilton [PDF]
W. G. Perdok
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Advances in mathematical physics during the 20th century led to the discovery of a relationship between group theory and representation theory with the theory of special functions. Specifically, it was discovered that many of the special functions are (1) specific matrix elements of matrix representations of Lie groups, and (2) basis functions of ...
Ryan D. Wasson, Robert Gilmore
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Mathematical Crystallography and the Theory of Groups of Movements. By Harold Hilton, M.A. [PDF]
Alfred Edwin Howard Tutton
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COMPLEMENTAL BINARY OPERATIONS OF SETS AND THEIR APPLICATION TO GROUP THEORY
Set theory is considered as the foundation of all mathematics since many mathematical concepts cannot be defined precisely without using set-theoretical concepts.
A. Sezgi̇n +3 more
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Prior research has shown how incorporating group theory into upper secondary school or undergraduate mathematics education may positively impact learners’ conceptual understanding of mathematics in general and algebraic concepts in particular.
J. Veith +2 more
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Group Representations, Ergodic Theory, and Mathematical Physics [PDF]
Robert S. Doran +2 more
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Of McKay Correspondence, Non-linear Sigma-model and Conformal Field Theory [PDF]
The ubiquitous ADE classification has induced many proposals of often mysterious correspondences both in mathematics and physics. The mathematics side includes quiver theory and the McKay Correspondence which relates finite group representation theory to
He, Yang-Hui, Song, Jun S.
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Topic Study Group No. 51: Diversity of Theories in Mathematics Education [PDF]
Tommy Dreyfus +4 more
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