Reducing mathematical operations to addition and subtraction

is it possible to reduce any mathematical operation to a process of simply adding something

for instance,

mulitiplication can be reduced to addition

e.g.

2*3 = 2+2+2

division

e.g.

3/2 = 3*1/2 = 0.5+0.5+0.5

exponents

e.g.

2^3 = 2*2*2=2+2+2+2

is calculus, geometry, linear algebra, stochastic calculus etc. in the end nothing else then addition or subtraction of numbers in a systematic way?

Re: Reducing mathematical operations to addition and subtrac

Quote:

Originally Posted by **evariste.galois**

is it possible to reduce any mathematical operation to a process of simply adding something

for instance,

mulitiplication can be reduced to addition

e.g.

2*3 = 2+2+2

division

e.g.

3/2 = 3*1/2 = 0.5+0.5+0.5

exponents

e.g.

2^3 = 2*2*2=2+2+2+2

is calculus, geometry, linear algebra, stochastic calculus etc. in the end nothing else then addition or subtraction of numbers in a systematic way?

No.

Re: Reducing mathematical operations to addition and subtrac

Quote:

Originally Posted by **DrRocket**

Quote:

Originally Posted by **evariste.galois**

is it possible to reduce any mathematical operation to a process of simply adding something

for instance,

mulitiplication can be reduced to addition

e.g.

2*3 = 2+2+2

division

e.g.

3/2 = 3*1/2 = 0.5+0.5+0.5

exponents

e.g.

2^3 = 2*2*2=2+2+2+2

is calculus, geometry, linear algebra, stochastic calculus etc. in the end nothing else then addition or subtraction of numbers in a systematic way?

No.

ok, could you give an example where it is not possible please?

Re: Reducing mathematical operations to addition and subtrac

Quote:

Originally Posted by **evariste.galois**

is it possible to reduce any mathematical operation to a process of simply adding something

There is a large class of functions called Holomorphic functions which can be expanded out into a power series. A power series is just a bunch of adding (sometimes with negative coefficients) and calculations of powers.

Here are a few examples of non-Holomorphic functions.

Complex conjugate:

Real Part:

So every mathematical operation can not be turned into just adding but there is a lot that can be done with just adding and the calculation of powers.