What is advancedlevel mathematics used for?
I barely understand the bare basics of algebra, my math skills are abysmal. But what applications do advanced mathematics such as stochastic calculus and linear algebra have?
Other than in physics, science, and engineering, what other things can advancedlevel mathematics be used for? How about in daily life? 
Re: What is advancedlevel mathematics used for?
It can enhance your abstract thinking ability.
Not directly useful for anything in daily life. 
Re: What is advancedlevel mathematics used for?
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A few uses of Linear Algebra: Codabar system Digital image compression Calculating life expectancy Modelling population growth Profit maximization Universal Product Code Lots more If you want a thorough discussion of exactly how they are used, then just open up some linear algebra books, or do a Google search. Higher math isn't just solving puzzles (In fact, that's not really what math is). People don't just do mathematics to improve their thinking abilities; it certainly helps, but it has many applications. Keep in mind that mathematics need not be applied to anything. Just because you can't use a result of mathematics (at first) for anything practical does not make it useless. 
Re: What is advancedlevel mathematics used for?
There is great deal of uses in physics (also era involves some Chemistry) and engineering. In general relativity a lot of linear algebra and calculus is required. In engineering, mostly calculating some basic mechanics problem.
Other than these, Economics uses great deal of calculus to model the market which is very important. You can search more on financial mathematics (not accounting~~boring). 
Re: What is advancedlevel mathematics used for?
Also, I've heard that matrices can be used to balance out chemical reactions in chemistry. I haven't actually done that myself, but I was happy to know that there was an easier way than what I did in my first year chemistry class!

Re: What is advancedlevel mathematics used for?
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But the trouble is, when you're 16 you don't quite know what you'll be doing in 10 years time, and by then it's too late to learn so easily. 
Re: What is advancedlevel mathematics used for?
Everything has its applications. Of course, applications of some fields are more obvious than others.

Re: What is advancedlevel mathematics used for?
What about the use of highlevel math in areas other than physics, science, and engineering?

Re: What is advancedlevel mathematics used for?
Mathematics models the natural world.
So your question is nearly identical to ...... What use is it to learn English ? Furthermore, Logic, one of the foundations of Mathematics, is the link between The Arts & The Sciences. All artforms (nearly) seek to communicate. How better to make your case than with clear precise easy to understand logic ? Be it painting, screenplay, poem, courtroom summation or a novel. Some of the very the best lawyers were good at Math. That is one of the reasons they excel at the Law. Mathematics underlies nearly everything you see around you. But it will not guarantee a good life. That is the province of religion and moral philosophy. 
Re: What is advancedlevel mathematics used for?
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Also, matrices are very useful in doing statistics, though I haven't learn much of statistics, I heard of something called covariant matrix that is used for complicated systems. And statistics can be applied to many areas. May be you can look more on that. 
Re: What is advancedlevel mathematics used for?
This article on mathematics education (and socalled applications of math in real life) is a good read:
http://www.maa.org/devlin/LockhartsLament.pdf Somewhat long, but well worth the time. 
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It seems to me that you think that if you don't use something every day, or can't use it to make lots of money, then it's useless. As said many times in this thread, mathematics is all about logical and abstract thinking; it's basically a form of creativity. Now tell me, how useless are the former? 
Re: What is advancedlevel mathematics used for?
When people ask me what the use is for mathematics, I always respond with the following poem by Morris Bishop:

Re: What is advancedlevel mathematics used for?
Another interesting read is Underwood Dudley's article:
http://www.public.iastate.edu/~aleand/dudley.html 
Re: What is advancedlevel mathematics used for?
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Re: What is advancedlevel mathematics used for?
Cryptography is a pretty big one.

Re: What is advancedlevel mathematics used for?
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A math professor, a native Texan, was asked by one of his students: "What is mathematics good for?" He replied: "This question makes me sick! If you show someone the Grand Canyon for the first time, and he asks you `What's it good for?' What would you do? Well, you kick that guy off the cliff!":biggrin: 
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Us mathy types would think about it all the time when we hear news stories or write on internet forums, but that's not normal people. If you aren't inclined to analyze things for fun, then knowing how to integrate won't make you do it. 
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