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What is the study of higher dimensions? 
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#1
Aug211, 12:36 PM

P: 2

What is the study of higher dimensions called? What I'm referring to are hyper cubes and such. I finished basic math this past year (calc123, ode and linear alg) and I really want to learn the calculus of higher dimensions. Does a field like this exist?



#2
Aug211, 01:09 PM

P: 120

The methods of calculus that you probably recently learned can be generalized to higher dimensions. This means to study functions from ℝ^{n} to ℝ. As such, functions are of the form y = f(x_{1}, x_{2}, ..., x_{n}).
Ideas like limits, differentials, and integrals can be generalized to encompass functions of that form. In fact, considering higher dimensions allows us to use ideas we couldn't use with functions of a single real variable. Look up multivariable calculus. 


#3
Aug211, 03:48 PM

HW Helper
P: 6,188

After multivariable calculus you can move on to differential geometry.



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