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I think this question is appropriate here. I am 26 now. I left study after completing school. Now I am thinking of doing a Bachelor's degree in mathematics. I purchased a basic Calculus book and I found it interesting.

So I took some advice from a phd scholar. His straight answer was that I am not gonna successful. He quoted some words from a mathematician, " Mathematics is young man's game".

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I think mathematics is a young man's game probably on average because life begins to catch up with the "old men". If you, for example, have family responsibilities and non-research job responsibilities to attend to, even if mathematically oriented, these seriously eat into one's thinking and writing time. (This is one man's opinion!) What I'm saying is that at 26, you are closer to running into these kinds of obstructions to thinking than you would be at 19. This is, to me, the biggest reason that mathematics is a young man's game. Counterexamples to this require a very simplified lifestyle! – Jon Bannon 11 hours ago
    
@jonbannon I disagree. Look at Mary Ellen Rudin. With four children she was one of the greatest mathematicians of her generation. I certainly didn't know her well enough to be able to say how she managed it but she certainly did. – DRF 3 hours ago

Certainly someone your age (or even much older) can learn Calculus, even get a degree in mathematics. And get a good job afterward.

That "young man's game' quote refers to doing mathematical research at the highest level. There is some validity to it, but there are also well-known counterexamples. (And even most young men never make it there.)

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+1 especially for the comment "And even most young men never make it there." While it seems anecdotally that most great mathematicians start young that can be explained away by a number of confounding factors and given how few of those studying mathematics ever "make it big" (~50-100 in a generation) it's hardly reasonable to give up, since you likely won't be one of them no matter when you start. – DRF 3 hours ago

For sure you are not too old. If you are really interested and if you are motivated to work hard, then you can have a shot. Maybe you try some of the exercises in the book to get an impression, how well you are in teaching yourself maths.

A friend of mine is a philosopher and he started with maths, when he was older than 30 and it worked quite well.

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It really depends on what your goal is. If you want to be the best Mathematician, it may be hard no matter when you start.

I guess the major reason why you want to study Mathematics is just to enrich your way of thinking. No one is too late for that purpose. Also there are many benefits of studying math, like logical thinking and abstraction.

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It is never to late to expand and exercise your mind. The stimulation alone will keep your brain young. Math is exercise for the brain. How strong you want to be is largely up to you. The more you learn the more potential you have to learn.

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A good answers is the personal story of Barbara Oakley who change from Language to engineering after 20.
There is a TED talk : https://www.youtube.com/watch?v=O96fE1E-rf8 and a MOOC Learning how to learn : https://www.coursera.org/course/learning

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Just a little example on this topic - when I got into studies(at the age of 18), I was top student in my generation along with a student who was 40 years old, decided to give it a try at that age and who has family. He got top scores in all math subjects (algebra, analysis etc.), so it means you can definitely succeed if you are interested enough. I find math beautiful and enjoy every bit of it, so as long as you are interested enough and have even a slight talent for it, you should give it a try.

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You can start learning to any subject at any age of your life, as long as you are interested toward the subject age doesn't matter.

The quote you mentioned here " Mathematics is young man's game".

where ; YOUNG word is not always concern with your body age, If you are looking forward to learn something your mind and brain is young always, no matter how old you are.

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