Discrete Mathematics is (for example)
- historically the foundation of all mathematics,
- used in applied math (in discretizations for example) to solve many of the most complicated problems,
- producing extremely powerful results, especially in the last 50 years,
- and much more!
But despite these examples that merely scratch the surface, discrete mathematics still does not enjoy equal stature among the various areas of mathematics. Any thoughts? Let's discuss!
Note: I realize there's no simple answer to this question, just looking for conversation.
Hi, for example there is less theoretical background associated with discrete optimization than to continuous optimization. This is why mathematicians prefer working on continuous problems even if a lot of discrete problems arise in practice (ressource allocation, scheduling etc..)
Depending on what you mean by discrete mathematics, it may also
include very classical topics which do have a high status in math. Number theory for me definitely belongs to discrete mathematics. Paul Erdos is the discrete mathematician par excellence, and his role is widely acknowledged in mathematics in general.
Hi, I agree with Luca, if the term "discrete" include number theory there is a strong mathematical background associated with this topic.
Thank you both! Indeed, if we could have more outstanding figures like "Uncle Paul" in all areas, the world would be a better place.
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