Algebra

>algebra
>geometry
>calculus
>analysis
>number theory

where do they all intersect?

inter-universal teichmuller theory

where does it involve calculus?

Where does this even involve a single function

pi

prove it

After coming to understand it better, mathematicians have renamed it "arithmetic deformation theory."

>After coming to understand it better, mathematicians have renamed it "arithmetic deformation theory."
By "mathematicians" you mean "Fesenko"?

geometry : circles
algebra : solutions of sin(x), circles
calculus : solids of revolution, e^ix=cos(x) + isin(x), lots of others
analysis : gaussian integral
number theory : pi is in fact a number

qed

Probably. I hope it is the name that catches on; it fits nicely with the names of other fields of math.

That's an element in the intersection, not the intersection.

queued.

>That gif
Girl the way you're movin'
Got me in a trance, DJ turn me up
Ladies dis yo jam

Algebraic geometry is central to number theory and core to many modern results in algebra and geometry. Recently algebraic geometry has also found applications to analysis (specifically harmonic analysis and the study of pde's). Calculus is already mixed in

>was just listening to that flocka track

now i'm upset. how the fuck did you do this.

Well a Deformation Theory for Arithmetic Schemes would satisfy op's criterion.

Deformation theory is really as close as you get to calculus in algebraic geometry (unless of course you work over C).

How did I upset you? :-/

because i was listening to that track. nobody else can.

in mathematics

they intersect in physics

Recognition of and realization in the truth of the Absolute.

...

Is there a book on such a thing?

What the fuck is calculus doing in that list?

I'm not aware of anything with an arithmetic focus, but Hartshorne has a book on Deformation Theory. And if you read french, there is a classic book in the subject "Complexe Cotangent et Deformations" by Illusie.