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Why calculus and not straight to analysis?

Name: Anonymous 2007-09-30 21:21 ID:m1IVlu8D

Keep in mind that I have not took an analysis course.

Name: Anonymous 2007-10-11 11:54

>>38
just call it calculus.  every branch of math can have proofs in it without needing another name.

Name: Anonymous 2007-10-11 22:44

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Name: 4tran 2007-10-15 5:54

>>13
Most of computational calculus is finding clever algebra tricks to solve the problem in question.

>>16
You handwave the Fourier analysis.  You can calculate all the coefficients without knowing anything about convergence.  After that, you wave your hands and claim that the series converges.  Same applies to Taylor series.

>>18
I actually think group theory is a great complement to arithmetic.  Analysis however, is totally owning me... even though I'm studying with the book by Ross.

>>24
???

>>30
QFT

>>34
Almost, it is anal + lysis; when a cell lyses it does not get loosened, it explodes.

>>41 and everybody who says that calculus = analysis,
real analysis =/= complex analysis, and calculus is a subset of their unions.

Name: Anonymous 2007-10-18 23:35

Ok, there is calculus, where you learn about derivatives, integrals, and infinite series.  If you are lucky, you get into higher dimensions. 

With real analysis, there are some delta-epsilon proofs and proving stuff like L'hopital's rule, which you just learned to use it.  But of course that is just baby analysis. 

In analysis, you first learn about measures, like Lebesgue measure and lebesgue-stieltjes measures.  Also integration theory.  With this, you can integrate a much larger range of functions then the ones you see in calculus.  Then you can get into functional analysis, but I haven't gotten that far, yet.  I am more of an algebra person and topology person. 

Name: Anonymous 2007-10-19 9:33

Taking analysis without calculus is like repairing your car without knowing how to drive one.

Name: Anonymous 2007-10-19 12:00

>>44
So just call that part Integration Theory.

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