Digital Experiences of Mathematical Cognitive Functions in Learning the Basic Concepts of General Topology [PDF]
International Journal of Research in Undergraduate Mathematics EducationAbstractThis paper aims at defining and exploring design principles in a distance technological setting for an educational activity for mathematics undergraduate students, devoted to the construction of basic concepts in general topology, the promotion of problem-solving processes, the development of metacognitive aspects, and, in general, the ...
Giovannina Albano +2 more
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Concepts of general topology in constructive mathematics and in sheaves, II
Annals of Mathematical Logic, 1982 AbstractTopological properties of spaces of sections of bundles are investigated in detail, and connected with results in constructive topology, in particular for notions of compactness, connectedness and uniformity.
R.J. Grayson
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Topology and life: In search of general mathematical principles in biology and sociology [PDF]
The Bulletin of Mathematical Biophysics, 1954 Mathematical biology has hitherto emphasized the quantitative, metric aspects of the physical manifestations of life, but has neglected the relational or positional aspects, which are of paramount importance in biology. Although, for example, the processes of locomotion, ingestion, and digestion in a human are much more complex than in a protozoan, the
N. Rashevsky
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Elements of Mathematics - General Topology, by Nicolas Bourbaki. Hermann, Paris, and Addison-Wesley, Reading, 1967. Part 1, vii + 438 pages. $18.50. Part 2, iv + 368 pages. $18.50. [PDF]
Canadian Mathematical Bulletin, 1968 J. Troué
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A correction to “concepts of general topology in constructive mathematics and in sheaves”
Annals of Mathematical Logic, 1982 R.J. Grayson
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Topological Essence of the Concept “Limit of a Function” in the General Mathematics [PDF]
RA JOURNAL OF APPLIED RESEARCH, 2021 The limit of a function is one of the most important concepts in high school mathematics. But unfortunately, not many students understand the essence of this concept. They had to accept it. This paper presents the topological essence of a limit of a function and discusses methods for teaching this concept in general education in Viet Nam.
Dung, Cu Thi Kim +2 more
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Topological Essence of the Concept “Limit of a Numerical Sequence” in the General Mathematics
RA JOURNAL OF APPLIED RESEARCH, 2021 High school mathematics includes a number of extremely important concepts, including the concept of the limit of the number sequence. However, most students when learning it do not understand it with certainty, but only accept it to apply it to solve exercises.
Toan, Le Trong, Thao, Do Thi Thanh
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By Their Fruits Ye Shall Know Them: Some Remarks on the Interaction of General Topology with Other Areas of Mathematics [PDF]
, 1999 Teun Koetsier, Jan van Mill
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Mathematical modeling and visualization of topologically non-trivial solutions in general relativity
Journal of Physics: Conference Series, 2021 Abstract In general relativity, there is a class of solutions that currently do not have observed analogues, but on which the theory is shaped, giving an understanding what is fundamentally possible within its framework. Such solutions include wormholes, tunnels that connect distant regions in spacetime.
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, 2021 The new computational paradigm of conceptual computation has been introduced in the research program of Artificial Mathematical Intelligence. We provide the explicit artificial generation (or conceptual computation) for the fundamental mathematical notion of topological groups.
Gomez-Ramirez, Danny A. J. +2 more
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