Any interesting application of mathematics?

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Discussion Overview

The discussion revolves around interesting applications of mathematics across various fields, including physics, music, and technology. Participants explore potential topics for a project, particularly those that may not be commonly recognized as mathematical applications.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant suggests studying optics, fractals, relativity, or the mathematics of paintings and architecture for a project, expressing a preference for topics related to physics.
  • Another participant proposes that "all of physics" could be considered an interesting application of mathematics, highlighting the extensive use of mathematics in various sciences.
  • A participant shares insights from a talk about error detection and correction in music encoding on CDs, mentioning the use of vector spaces and the distance between vectors.
  • Some participants express interest in peculiar mathematical applications that might surprise even advanced students in mathematics or physics, seeking references to relevant literature.
  • One participant mentions the Society For Industrial And Applied Mathematics (SIAM) as a resource for discovering interesting mathematical applications through their newsletter and archives.

Areas of Agreement / Disagreement

Participants express a variety of interests in applications of mathematics, but there is no consensus on a specific topic or approach. Multiple competing views on what constitutes an "interesting" application remain evident.

Contextual Notes

Some participants seek specific references or literature to support their inquiries, indicating a potential gap in readily available resources on the discussed topics.

StephvsEinst
Science Advisor
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Hey!
I have to do a work about one of the many applications of mathematics. I have to study the math behind a certain subject and use MATLAB to solve some kind of problem associated with the topic.
I am on the final year of graduation and I thought of doing about optics, fractals, relativity or paintings/architecture (perspective, etc.). I wouldn't like to spend a lot of time on this and I thought of doing about optics or something related to physics as I am in the final year of gaduation.
Do you know any interesting application of mathematics? (doesn't have to be connected to physics)

Thank you.
 
Last edited:
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StephvsEinst said:
Do you know any interesting application of mathematics?
Depends on your definition of "interesting".
Does "all of physics" count? The other sciences use mathematics a lot, too.

The text I am writing here is processed on a system that uses a lot of mathematics to process it, then uses mathematics to encrypt it, more mathematics to convert it to a format that is easier to transmit via the internet, even more mathematics to find the right target server, where it gets decrypted and stored in a database that has some fancy algorithms to find the right posts out of ~5 millions as fast as possible to send them to you.
 
I sat in once on a talk about how music can beencoded on CDs so that errors can be detected, and in some cases, corrected. The technology involved makes us of vector spaces of dimension 16 and higher and the distance between vectors in that space.
 
I know mathematics is in the base of the pyramid. I was looking for some peculiar mathematical applications, which may be surprising for most of graduated students (or even for those who have a master degree/phd in mathematics/physics/etc).
Mark44 do you know any paper or book that has any kind of approach of what you just said?

Thank you for your comments.
 
StephvsEinst said:
I know mathematics is in the base of the pyramid. I was looking for some peculiar mathematical applications, which may be surprising for most of graduated students (or even for those who have a master degree/phd in mathematics/physics/etc).
Mark44 do you know any paper or book that has any kind of approach of what you just said?
I don't know of any off the top of my head. The talk I went to was about 30 years ago. I would do a search for something like "error correction in digital music recording" - something along those lines.

With regard to pyramids, I saw a book one time about the pyramids in Egypt. It started out with some interesting points, but soon descended into numerological nonsense.
 
The Society For Industrial And Applied Mathematics (SIAM) publishes a newsletter (SIAM News) with articles about interesting applications of mathematics. You might find an idea by browsing the Archives online at http://www.siam.org/news/
 

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