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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.
E. Florio
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Surveys in Contemporary Mathematics: Algebraic geometry over Lie algebras [PDF]
, 2006 This is a survey paper on Alegbraic Geometry over Lie ...
I. Kazachkov
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Towards Massively Parallel Computations in Algebraic Geometry [PDF]
Foundations of Computational Mathematics, 2018 Introducing parallelism and exploring its use is still a fundamental challenge for the computer algebra community. In high-performance numerical simulation, on the other hand, transparent environments for distributed computing which follow the principle ...
J. Böhm +5 more
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Algebraic Geometry Tools in Systems Biology
, 2020 Many models in the sciences and engineering are expressed as solution sets to systems of polynomial equations, that is, as affine algebraic varieties. This is a basic notion in algebraic geometry, a vibrant area of mathematics which is particularly good ...
A. Dickenstein
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Tropical Geometry and Machine Learning
Proceedings of the IEEE, 2021 Tropical geometry is a relatively recent field in mathematics and computer science, combining elements of algebraic geometry and polyhedral geometry.
P. Maragos +2 more
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Marriages of Mathematics and Physics: A Challenge for Biology [PDF]
, 2017 The human attempts to access, measure and organize physical phenomena have led to a manifold construction of mathematical and physical spaces. We will survey the evolution of geometries from Euclid to the Algebraic Geometry of the 20th century.
Islami, Arezoo, Longo, Giuseppe
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Revue d'Histoire des Mathematiques, 2018 Mathematicians and historians generally regard the modern period in algebraic geometry as starting with the workof Kroneck er and Hilbert. But the relevant papers by Hilbert are often regarded as reformulating invariant theory, a much more algebraic ...
J. Gray
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Multiplicities of Noetherian deformations [PDF]
, 2015 The \emph{Noetherian class} is a wide class of functions defined in terms of polynomial partial differential equations. It includes functions appearing naturally in various branches of mathematics (exponential, elliptic, modular, etc.).
Binyamini, Gal, Novikov, Dmitry
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, 2019 The present study is a part of design research in local instructional theory in a pre-algebraic lesson using the Realistic Mathematics Education (RME) approach.
R. Apsari +4 more
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Some remarks on multiplicity codes
, 2014 Multiplicity codes are algebraic error-correcting codes generalizing classical polynomial evaluation codes, and are based on evaluating polynomials and their derivatives.
Kopparty, Swastik
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