marellasunny said:
I would sit pretty much the whole night.But,didn't Einstein take the patent job so that he could review some great new ideas and work on relativity at the same time?Aren't there jobs like that?I've crossed-out teacher and mechanic,done that.
I'm not sure if you are going to have a lot of free time to do your own stuff in a job like this.
Also the question you need to ask is what kind of mathematics do you wish to work on?
I can see how a constant stream of inventions would give you a lot of great ideas, but the question I have for you is why you would prefer to get ideas from patents as opposed to ones from pre-prints, articles, textbooks, blogs (if you are online) and so on.
The other thing is that I think you need to have a technical background (like an engineer, chemist, etc) but you did say you work in the automative engineering industry.
A lot of mathematical ideas can be sourced by looking at nature, but at a certain point you will be going into a realm where you are juggling concepts and ideas that have a less direct correspondence to reality and this requires a degree of imagination that is hard to reference to reality (since reality is a lot more constrained than some of the stuff in mathematics).
If you want ideas, then the best advice I have is to observe as much as you can about the world around you: lots of people don't pay attention to the majority of information that is out there staring us right in the face, but all of this provides an endless amount of opportunity for ideas.
With mathematics, the thing is to build on both your observational experience of the world and your ability to imagine something which does not exist.
Once you get good at being able to do things in your head through exercising your imaginative muscle, you'll be able to think of things that do not correspond directly to reality, and when this is done, the mathematics will flow from you. You can make a reference back to algebraic context or a geometric context, but either way you will be able to use the sensory capacity of the mind and not the sensory capacity of the five normal senses.
There are many ideas out there and if you attention and follow your instinct, you'll have more ideas and more catalysts for new thinking than you can possibly work with in any life time.