Mathematician vs applied mathematician

In summary, the conversation discusses the main differences between pure mathematicians and applied mathematicians. Pure mathematicians focus on theoretical and abstract aspects of mathematics, while applied mathematicians focus on its applications to other fields. It is suggested that pure math would be beneficial for those pursuing grad school in math, while applied math would be useful for those interested in physics. However, this is not always the case and both fields have potential for high-paying jobs.
  • #1
offtheleft
131
1
whats the main differences and which one one would help get into grad school? I am looking into pure math and quite possibly physics as well.
 
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  • #2
(Pure) Mathematician- Stresses more on the theoretical and abstract aspects of mathematics. Deals more with theorems and their proofs than computations. (Usually, when you say "mathematician", you usually mean this type)

Applied Mathematician- Stresses more on the applications of mathematics to some other fields. Deals more with computations and algorithms than theorems and proofs.

Note that these are very simplified distinctions between those two professions. As for grad school, I think pure math would be good if you're thinking of going to grad school in math, and applied math would be good if you're thinking of going to physics (but again, that's probably not the case all the time).
 
  • #3
PieceOfPi outlined the main differences. If you want to do physics in grad school, applied maths would be a better route to go. You must have pure maths if you want to do pure maths in grad school. Applied mathematicians-- if they study the right fields-- can get high paying jobs in industry, banks etc. As far as I know, pure mathematicians don't get paid that much.

Pure maths is like real analysis. Applied maths is like numerical analysis (assuming you know those fields).
 

1. What is the difference between a mathematician and an applied mathematician?

A mathematician is someone who studies and develops theories and concepts in pure mathematics, while an applied mathematician uses mathematical techniques and theories to solve real-world problems in various fields such as engineering, economics, and physics.

2. Can a mathematician also be an applied mathematician?

Yes, it is possible for a mathematician to also be an applied mathematician. Many mathematicians have a strong background in pure mathematics and also apply their skills to solve real-world problems in their field of study.

3. What are some common job titles for mathematicians and applied mathematicians?

Some common job titles for mathematicians include professor, researcher, and data scientist. Applied mathematicians may also hold job titles such as financial analyst, systems engineer, and operations research analyst.

4. Is there a difference in education or training for mathematicians and applied mathematicians?

Generally, mathematicians and applied mathematicians have similar education and training, with both typically holding a PhD in mathematics or a related field. However, applied mathematicians may also have additional training in a specific field where they apply their mathematical skills.

5. What kind of skills are needed for a career as a mathematician or applied mathematician?

Both mathematicians and applied mathematicians need strong analytical and problem-solving skills, as well as a solid understanding of mathematical theories and concepts. Additionally, good communication and computer skills are important for both careers.

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