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Quantum Algebras and Poisson Geometry in Mathematical Physics

2005
Noncommutative algebras, nanostructures, and quantum dynamics generated by resonances by M. Karasev Algebras with polynomial commutation relations for a quantum particle in electric and magnetic fields by M. Karasev and E. Novikova Poisson structures and linear Euler systems over symplectic manifolds by Y. Vorobjev Poisson equivalence over a symplectic
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Metaphors in Mathematics: Introduction and the Case of Algebraic Geometry

SSRN Electronic Journal, 2009
Analogies play an essential role in Mathematics. George Lakoff and Rafael E. Nunez have shown in 'Where Mathematics Comes From' that our understanding of basic mathematics is deeply linked to our experience of the world. They claim that we understand mathematics throught Conceptual Metaphors between source domains (for example spatial relationships ...
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From geometry to algebra and vice versa: Realistic mathematics education principles for analyzing geometry tasks

AIP Conference Proceedings, 2017
In this article we address how Realistic Mathematics Education (RME) principles, including the intertwinement and the reality principles, are used to analyze geometry tasks. To do so, we carried out three phases of a small-scale study. First we analyzed four geometry problems – considered as tasks inviting the use of problem solving and reasoning ...
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Krichever-Novikov algebras, their representations and applications in geometry and mathematical physics

Proceedings of the Steklov Institute of Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Concept of Curve: Geometry and Algebra, from Mathematical Modernity to Mathematical Modernism

2019
We consider the concept of curve in the context of the transition from mathematical “modernity” to mathematical “modernism,” the transition defined, the article argues, by the movement from the primacy of geometrical to the primacy of algebraic thinking.
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An Experiment Comparing the Efficiency of General Mathematics with Algebra and Geometry

The Mathematics Teacher, 1924
In the fall of 1920, Dr. R. A. Kent, Superintendent of Schools, asked me to conduct an experiment comparing the efficiency of a two-year course in general mathematics with the traditional one-year course in algebra and geometry. We decided to put all students starting mathematics in February, 1921, into general mathematics. There were 63, a few of whom
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Rewriting input expressions in complex algebraic geometry provers

Annals of Mathematics and Artificial Intelligence, 2018
Z. Kovács, T. Recio, C. Sólyom-Gecse
semanticscholar   +1 more source

Algebraic function fields and codes

Universitext, 1993
H. Stichtenoth
semanticscholar   +1 more source

Computer Algebra Systems and Dynamic Geometry for Mathematical Thinking

2021
Jhony Alexander Villa-Ochoa   +1 more
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