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Topological Explorations on the Fundamental Theorem of Arithmetic.
- Source :
-
Primus: Problems, Resources & Issues in Mathematics Undergraduate Studies . 2023, Vol. 33 Issue 7, p759-779. 21p. - Publication Year :
- 2023
-
Abstract
- In an interplay between the Fundamental Theorem of Arithmetic and topology, this paper presents material for a capstone seminar that expands on ideas from number theory, analysis, and linear algebra. It is designed to generate an immersive way of learning in which students discover new connections between familiar concepts, create definitions, and investigate non-standard questions. The ideas are arranged as a series of questions for students to explore, with expositions to the instructor on how to guide them in looking for answers. The investigations culminate in a satisfying outcome: that partition topologies are the same as unique factorization topologies, those that satisfy our topological version of the Fundamental Theorem of Arithmetic. [ABSTRACT FROM AUTHOR]
- Subjects :
- *NUMBER theory
*LINEAR algebra
*IMMERSIVE design
*PRIME numbers
*TOPOLOGY
*ARITHMETIC
Subjects
Details
- Language :
- English
- ISSN :
- 10511970
- Volume :
- 33
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Primus: Problems, Resources & Issues in Mathematics Undergraduate Studies
- Publication Type :
- Academic Journal
- Accession number :
- 169922227
- Full Text :
- https://doi.org/10.1080/10511970.2023.2167252