ANALYZING STUDENTS' ABILITIES AS PROSPECTIVE TEACHERS OF MATHEMATICS IN CONSTRUCTING PROOFS: A STUDY OF GEOMETRY AND ALGEBRA [PDF]
, 2023 Soffil Widadah, Dwi Juniati
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Branched holomorphic Cartan geometry on Sasakian manifolds [PDF]
arXiv, 2018 We extend the notion of (branched) holomorphic Cartan geometry on a complex manifold to the context of Sasakian manifolds. Branched holomorphic Cartan geometries on Sasakian Calabi-Yau manifolds are investigated.
arxiv
General Geometry and Geometry of Electromagnetism [PDF]
arXiv, 2002 It is shown that Electromagnetism creates geometry different from Riemannian geometry. General geometry including Riemannian geometry as a special case is constructed. It is proven that the most simplest special case of General Geometry is geometry underlying Electromagnetism.
arxiv
Abel Prize 2009 as a necessitation to discussion on geometry, or physicist versus geometers [PDF]
arXiv, 2009 Contemporary geometers do not acknowledge nonaxomatizable geometries. This fact means that our knowledge of geometry is poor. A perfect knowledge of geometry is important for "consumers of geometry" (physicists dealing with geometry of microcosm), because poor knowledge of geometry forces physicists to refuse from the orthodox geometrical paradigm and ...
arxiv
Research on Curriculum Aesthetics Education Pointing to the Ideological and Political Path of Curriculum—Taking the Mathematics Course of Advanced Algebra and Analytic Geometry as an Example [PDF]
, 2023 Wei Jiang +4 more
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A (2+1)-dimensional integrable spin model(the M-XXII equation) and Differential geometry of curves/surfaces [PDF]
arXiv, 1998 Using the differential geometry of curves and surfaces the Lakshmanan equivalent counterpart of the M-XXII equation is found ... .
arxiv
An Introduction to Algebraical Geometry. By A. Clement-Jones, M.A., Ph.D., Senior Mathematical Master at the Bradford Grammar School. Pp. 548. 1912. (Clarendon Press). [PDF]
, 1913 William P. Milne
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Differential geometry of fibre bundles over foliated manifolds [PDF]
arXiv, 2001 Any leafwise connection on a fibre bundle over a foliated manifold is proved to come from a connection on this fibre bundle.
arxiv
D. E. Evans and M. Takesaki Operator algebras and applications, Volume 1: Structure theory; K-theory, geometry and topology; Volume 2: Mathematical physics and subfactors (London Mathematical Society Lecture Note Series 135, 136, Cambridge University Press, Cambridge1988) Vol. 1, viii + 244 pp, paper: 0 521 36843 X, £17.50; Vol. 2, viii + 240 pp, paper: 0 521 36844 8, £17.50. [PDF]
, 1989 Allan M. Sinclair
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Index theory and noncommutative geometry of topological insulator [PDF]
arXiv, 2018 In this chapter, we report the recent progress in the understanding of the rich mathematical structures of topological insulators in the framework of index theory and noncommutative geometry.
arxiv