is technically math the same as normal math?
Answers
Answer:
Pure mathematics is a field where you are interested about abstract objects, demonstrating properties, theorems in very abstract cases (think with arbitrary objects). Technical mathematics is a field where you actually use concrete objects, and work with them (also in order to demonstrate properties, theorems).
Step-by-step explanation:
Let me give you an example :
Let’s say we have a problem P which is about finding a solution to a particular equation (any kind of equation, or systems of equations, of functional equations, really, anything).
The pure mathematics side will be to try to demonstrate that there exists a solution to the problem P (and eventually, maybe, also demonstrating that the solution is unique) without explicitly giving the value of the actual solution.
The technical mathematics side will be, given that we know from pure mathematics that this problem P HAS a solution, and an unique one, to actually find what the actual solution is, to exhibit it or *construct* it.
Be careful, I am not saying that Technical mathematics are less abstract that pure mathematics, no, I would rather say that they are more specialised. Because for instance, constructing an actual solution to the problem can involve abstract steps and not give you an actual numeric value. You rather provide a sequence of steps that will eventually give you the solution of your problem.
In abstract algebra, in finite fields theory for instance, pure mathematics tells you that there are sometimes isomorphisms between finite fields, they can actually demonstrate this without exhibiting an actual isomorphism.
The technical mathematician will explicitly write down these isomorphisms and eventually compute with concrete fields and isomorphisms.
This answer might be vague, but the very essence of the question is abstract, since we are talking about pure(abstract) mathematics.
make me brainest please...
Is arithmetic and mathematics the same?
(1) the study of the relationships among numbers, shapes, and quantities,
(2) it uses signs, symbols, and proofs and includesarithmetic, algebra, calculus, geometry, and trigonometry. The most obvious difference is that arithmetic is all about numbers andmathematics is all about theory.