We know that mathematicians study different mathematical spaces such as Hilbert space, Banach space, Sobolev space, etc...
but as engineers, is it necessary for us to understand the definition of these spaces?
I dont think so. Even many physicists do not know all these definitions, except perhaps Hilbert space.
Detailed knowledge on foundation is necessary for a civil engineer to construct a building structure on the founation. Engineering means application of science for industrial purpose .
For a name sake engineer who works as technician or supervisor, the knowledge on definition is not mandatory.
The definition of Banach space is easier than one of Hilbert.
Sobolev space is much more delicate. This space is needed to say an existence of a solution of some differential equation.
You and many physician believe the existence, so it is not needed.
Yes, we do have to know about the spaces, at least during our university studies, to enables us to expand our mind into abstact level, that will be very usefull for design activities
In general, all the knowledge may be useful, at least, to improve human's mental abilities and skills.
In particular, math space definitions seem necessary for some engineering specialities (not for all).
If you want to conceptual engineer with high creativity, I would like to SAY big YES.
Mathematics plays the role of wheels for engineering, otherwise engineering may be a non logical profession without soul. Mathematics is key for all sciences and even every thing.
This sounds like making teachers of the English language learn Greek and Latin, just to expand their horizons.
- Badges
- Science topic
- Similar topics
- Engineering
- Control Theory