Franklin, James (2017) Discrete and continuous: A fundamental dichotomy in mathematics. Journal of Humanistic Mathematics, 7 (2). pp. 355-378. ISSN 2159-8118
|
Text
Discrete and Continuous.pdf Download (656kB) | Preview |
Abstract
The distinction between the discrete and the continuous lies at the heart of mathematics. Discrete mathematics (arithmetic, algebra, combinatorics, graph theory, cryptography, logic) has a set of concepts, techniques, and application areas largely distinct from continuous mathematics (traditional geometry, calculus, most of functional analysis, differential equations, topology). The interaction between the two – for example in computer models of continuous systems such as fluid flow – is a central issue in the applicable mathematics of the last hundred years. This article explains the distinction and why it has proved to be one of the great organizing themes of mathematics.
Export/Citation: | EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL |
Social Networking: |
Item Type: | Published Article or Volume | ||||||
---|---|---|---|---|---|---|---|
Creators: |
|
||||||
Keywords: | Discrete; continuous; atomic | ||||||
Subjects: | Specific Sciences > Mathematics > History Specific Sciences > Mathematics > Methodology |
||||||
Depositing User: | James Franklin | ||||||
Date Deposited: | 20 Oct 2019 01:03 | ||||||
Last Modified: | 20 Oct 2019 01:03 | ||||||
Item ID: | 16561 | ||||||
Journal or Publication Title: | Journal of Humanistic Mathematics | ||||||
Publisher: | Claremont Colleges Library | ||||||
Official URL: | https://scholarship.claremont.edu/jhm/vol7/iss2/18... | ||||||
DOI or Unique Handle: | 10.5642/jhummath.201702.18 | ||||||
Subjects: | Specific Sciences > Mathematics > History Specific Sciences > Mathematics > Methodology |
||||||
Date: | 2017 | ||||||
Page Range: | pp. 355-378 | ||||||
Volume: | 7 | ||||||
Number: | 2 | ||||||
ISSN: | 2159-8118 | ||||||
URI: | https://philsci-archive.pitt.edu/id/eprint/16561 |
Monthly Views for the past 3 years
Monthly Downloads for the past 3 years
Plum Analytics
Altmetric.com
Actions (login required)
View Item |