what is the difference between maths and physics?

Answer 1

Mathematics is a field of study of how numbers relate to each other, what kinds of algebras are found in different relations, geometries (Euclidean and non-Euclidean), topologies, the theory of functions, etc. Mathematics would exist even if there were no field of physical science.

Physics is the study of matter and energy and how they are all put together. Physics use math as the language for models of the pysical world. For example, F=ma, force equals mass time accerelation, is a model for how a mass reacts when a force is applied to it. The math lets us write it succinctly and lets us make testable predictions. The more intricate the process we model, the more complicated the math becomes. But the physics part of it is teh understanding of how it all works. You don't need an equation to say that a massive body, like the earth, exerts a force, gravity, on everything around it, pulling thos objects toward teh center of the massive body. Just that statement tells me there is a force called gravity that acts on everything. Since it is a force, it will cause objects to accelerate, and in this case, toward teh center ofthe massive body.

So while these are two different branches of study, physics is made really useful by using math as a tool or language to model wghat happens in the world.

Answer 2

Physics is the study of the natural world. A theory in physics is either true or false since it must be consistent with what is observed in the physical world. A proof in physics is when an experment is conducted to show the theory is consistent with nature. Mathematics isn't necessarily concerned with truth. A proof in Mathematics is said to be valid or invalid. Mathematics are build on sets of axioms that are neither proved or disproved. You can think of these as rules of a game. The game of Mathematics is to show what world can be built from these axioms. Theorems are statements that are proved using the axioms and/or other theorems. There are two types of physists - theoretical and experimental. Theoretical physists spend their time coming up with theories. Experimental physists spend their time coming up with experiments to show if a theory is true or not. There are two types of Mathematicians - pure and applied. Pure mathematicians spend their time developing new mathematics unconcerned whether it has a practical application or not. The primary concern is to expand the Mathematical world their living in derived from the axioms they're operating under. Applied mathmaticians spend their time developing or applying mathematics to solve practical problems. You could say there is an overlap here between physists and applied mathematicians.

Answer 3

Physics deals with the science of motion, electricity, optics, nuclear, etc. There are labs with physical experiments.

Math deals with numbers and patterns.

Physics has a lot of math in it.

Answer 4

Physics is a complex set of relationships between energy, forces, and matter that usually incorporates mathematics to quantitatively describe interractions.