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Linking geometry and algebra in the school mathematics curriculum [PDF]
, 2010 This chapter focuses on the linking of geometry and algebra in the teaching and learning of mathematics - and how, through such linking, the mathematics curriculum might be strengthened.
Jones, Keith
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Stone duality between condensed mathematics and algebraic geometry [PDF]
We extend Stone duality to a fully faithful embedding of condensed sets into fpqc sheaves over an arbitrary field, which preserves colimits and finite limits.
Gregoric, Rok
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Algebra, Geometry, and Mathematical Physics 2010 [PDF]
Journal of Physics: Conference Series, 2012 This proceedings volume presents results obtained by the participants of the 6th Baltic?Nordic workshop 'Algebra, Geometry, and Mathematical Physics (AGMP-6)' held at the Sven Lov?n Centre for Marine Sciences in Tj?rn?, Sweden on October 25?30, 2010. The Baltic?Nordic Network AGMP 'Algebra, Geometry, and Mathematical Physics' http://www.agmp.eu was ...
A Stolin +3 more
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Perceptual Learning in Mathematics: The Algebra-Geometry Connection [PDF]
, 2020 Important component of expertise is the rapid pickup complex. task-relevant pattern structure, yet such skills seldom trained explicitly. We report initial results ying principles of perceptual learning to the essing of structure in mathematics, specifically the ection between graphed functions and their symbolic essions.
Silva, Ana Beatriz V. e +1 more
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A short history of algebraic statistics [PDF]
, 2008 In algebraic statistics, computational techniques from algebraic geometry become tools to address statistical problems. This, in turn, may prompt research in algebraic geometry. The basic ideas at the core of algebraic statistics will be presented. In
Eva Riccomagno, Riccomagno, Eva
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Algebra, Geometry, and Mathematical Physics [PDF]
Journal of Generalized Lie Theory and Applications, 2008 The intention of the AGMF worskhops is to further understanding of the fundamental role of non-commutative and non-associative structures in Mathematics, Theoretical and Mathematical Physics. The Goteborg meeting was dedicated to memory of Professor Isaiah Kantor (1936- 2006).
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Poisson algebras via model theory and differential-algebraic geometry [PDF]
, 2017 Brown and Gordon asked whether the Poisson Dixmier–Moeglin equivalence holds for any complex affine Poisson algebra, that is, whether the sets of Poisson rational ideals, Poisson primitive ideals, and Poisson locally closed ideals coincide.
Moosa, Rahim +8 more
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Enumerative Real Algebraic Geometry [PDF]
, 2002 This is a pre-published version harvested from ArXiv.org. The published version can be found at http://dimacs.rutgers.edu/Volumes/Vol60.htmlEnumerative Geometry is concerned with the number of solutions to a structured system of polynomial equations ...
Sottile, Frank
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Mathematical Morphology: A Modern Approach in Image Processing Based on Algebra and Geometry [PDF]
SIAM Review, 1995 Mathematical morphology is a theory of image transformations and image functionals which is based on set-theoretical, geometrical, and topological concepts. The methodology is particularly useful for the analysis of the geometrical structure in an image.
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A Synergy between History of Mathematics and Mathematics Education: A Possible Path from Geometry to Symbolic Algebra [PDF]
Education Sciences, 2020 This paper proposes an experimental path aimed at guiding upper secondary school students to overcome that discontinuity, often perceived by them, between learning geometry and learning algebra. This path contributes to making students aware of how the algebraic language, formalized in the most powerful form by Descartes, grafts itself onto the ...
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