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Book Review: Level set methods and fast marching methods: evolving interfaces in computational geometry, fluid mechanics, computer vision, and materials science [PDF]
Mathematics of Computation, 2001 Stanley Osher
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Hypercompositional Algebra, Computer Science and Geometry [PDF]
Mathematics, 2020 The various branches of Mathematics are not separated between themselves. On the contrary, they interact and extend into each other’s sometimes seemingly different and unrelated areas and help them advance. In this sense, the Hypercompositional Algebra’s path has crossed, among others, with the paths of the theory of Formal Languages, Automata and ...
Gerasimos Massouros, Christos Massouros
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Geometry, analysis, and computation in mathematics and applied sciences. Final report [PDF]
, 1995 Since 1993, the GANG laboratory has been co-directed by David Hoffman, Rob Kusner and Peter Norman. A great deal of mathematical research has been carried out here by them and by GANG faculty members Franz Pedit and Nate Whitaker. Also new communication tools, such as the GANG Webserver have been developed. GANG has trained and supported nearly a dozen
Kusner, R. B. +5 more
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Logic, Algebra, and Geometry at the Foundation of Computer Science [PDF]
, 2019 This paper shows by examples how the Theory of Programming can be taught to first-year CS undergraduates. The only prerequisite is their High School acquaintance with algebra, geometry, and propositional calculus. The main purpose of teaching the subject is to support practical programming assignments and projects throughout the degree course. The aims
Tony Hoare +2 more
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Computational Algebraic Geometry as a Computational Science Elective
The Journal of Computational Science Education, 2010 This paper presents a new mathematics elective for an undergraduate Computational Science program. Algebraic Geometry is a theoretical area of mathematics with a long history, often highlighted by extreme abstraction and difficulty. This changed in the 1960’s when Bruno Buchberger created an algorithm that allowed Algebraic Geometers to compute ...
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[Geometry, analysis, and computation in mathematics and applied science]. Progress report [PDF]
, 1994 The principal investigators` work on a variety of pure and applied problems in Differential Geometry, Calculus of Variations and Mathematical Physics has been done in a computational laboratory and been based on interactive scientific computer graphics and high speed computation created by the principal investigators to study geometric interface ...
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CTE Workshop Proceedings, 2019 As a result of literature analysis the expediency of free access of bachelors majoring in Computer Sciences and Information Technologies to modern information educational resources, in particular, e-learning courses in the process of studying mathematical disciplines is substantiated.
Oksana M. Hlushak +2 more
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On recent trends in discrete geometry in computer science [PDF]
, 1996 This paper could be called “pieces on recent trends ...”. It is a set of remarks and thoughts about the actual and the potential development of discrete geometry; especially in computer imagery, and its interaction with geometrical modelling. My personnal view on some recent trends are exposed.
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Differential Geometry and its Applications, 2022 Many fundamental questions in theoretical computer science are naturally expressed as special cases of the following problem: Let $G$ be a complex reductive group, let $V$ be a $G$-module, and let $v,w$ be elements of $V$. Determine if $w$ is in the $G$-orbit closure of $v$.
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Geometry and Coding: Introducing an Interactive and Integrated Mathematics-Computer Science Unit
, 2023 As part of a collaborative project between Utah State University, the Cache County School District, and Stanford, instructional units were designed for fifth-grade students. These units integrated math concepts of geometrical shapes and computer science concepts of sequences, conditionals, and loops.
Beck, Kimberly, Shumway, Jessica F.
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