Applied mathematics: What can I expect to study?

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Discussion Overview

The discussion centers on the expectations and applications of studying applied mathematics, particularly in relation to scientific and physical phenomena. Participants express confusion about the scope of applied mathematics and its relevance to their interests, while also questioning whether they should pursue this field or consider alternatives.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant expresses a desire to understand the specific applications of applied mathematics, particularly in scientific contexts, and indicates a lack of interest in economic or industrial applications.
  • Another participant suggests that various areas of mathematics, such as functional analysis and topology, are relevant to physicists and could be part of an applied mathematics curriculum.
  • A different viewpoint is presented that emphasizes the distinction between applied mathematics and its real-world applications, suggesting that applied mathematics involves transforming real-world ideas into mathematical frameworks rather than merely applying mathematics to solve practical problems.
  • One participant mentions a personal interest in game theory, indicating a curiosity about the intersection of mathematics and economics, despite the original poster's disinterest in that area.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the definition and scope of applied mathematics. There are multiple competing views regarding its applications and relevance to different fields of study.

Contextual Notes

Some participants express uncertainty about the nature of applied mathematics and its applications, highlighting a potential lack of clarity in definitions and expectations. There is also a suggestion that specialization in mathematics may limit broader understanding, which remains unresolved.

Who May Find This Useful

Individuals considering a degree in applied mathematics, particularly those interested in its applications to scientific and physical phenomena, may find this discussion relevant.

Holocene
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If I were to decide to pursue a degree in applied mathematics, what specific applications can one typically expect to study?

I’m just a little confused about what applied mathematics really is.

I want to learn about applications of mathematics to scientific/physical phenomena.

I am not interested at all about the application of mathematics to solving economic or industrial problems.

Should I consider another major?

What can I realistically expect to study?
 
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Holocene said:
If I were to decide to pursue a degree in applied mathematics, what specific applications can one typically expect to study?

I’m just a little confused about what applied mathematics really is.

I want to learn about applications of mathematics to scientific/physical phenomena.

I am not interested at all about the application of mathematics to solving economic or industrial problems.

Should I consider another major?

What can I realistically expect to study?

Im not studying math but i have friends that does...

if you want to study physical phenomena there are also many area of mathemathics that physicist use: functional analysis, topology, algebraic geometry, symplectic geometries. But also statistical things and many others like computational stuff.

What I am learning, studying theorethical physics and science in geneally is that our world force us to specialize in something and makes our mind thiniking that a doctor cannot solve a very difficult Integral. (i don't either). this is WRONG WRONG WRONG.
In the past (Newton,fermat,descartes...) they were just looking for knowledge in the spirit of what a RESEARCHER should be.
So my suggestion is: go to University and do your first year, you'll find out by yourself what is your vocation.

regards
marco
 
not interested in math in economics? i have a copy of Theory of Games and Economic Behavior by von neumann and morgenstern. not been able to read it yet but by glancing it looks like cool stuff.
 
I'm going to say this because I think a lot of people have an odd view on what applied mathematics really is. Applied math is NOT the study of making mathematics into real world things, but more of taking real world ideas and turning them into math. If given the choice between studying a theorem useful to engineering or an interesting theorem, I feel most applied people will pick the interesting theorem.
 

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