The illustration and description of nature begin to be easy if we are free to use Mathematics. We try to get this point by seeing the following example:
To say that
Force is equal to the product of the mass of the body and its acceleration, is somewhat
lengthy and often difficult to say.
F=ma
Likewise, mathematical techniques such as Trigonometry, calculus, algebra, and geometry can be used to make predictions.
The role of
mathematics in physics is to represent the laws in the form of equations and
to obtain the conclusion or solutions referring to the observed conditions.
However,
Mathematics is the language of physics. Failing to get the knowledge of
mathematics leads to face difficulty in discovering, understanding, and explaining
the laws of nature. The scope of mathematics in today’s era cannot be argued.
Anyhow,
mathematics itself is not physics. We use language to express or convey our
message. But the message we want to express has the main focus. If we are poor
at the vocabulary and grammar of the language then it would be difficult for us to
communicate and express our message.
From the 17th century, the advancement in the study of mathematics seems to be motivated by the study of physics. A dedicated example of this can be calculus. The creation of calculus
and its enhancement in the concept is strongly related to physics. Newton also regarded Geometry to be a strong branch of Mechanics and the way we see it now; we can be sure that he was right at that time.
As time goes
on, more mathematics came into existence and more of them started using physics.
The main goal of physics is to explain the relationship between
various measurements of physical objects. A large portion of mathematics is
devoted to comprehending and defining the relationships between objects.
Therefore, the application of mathematics in physics is undeniable if you
consider this aspect common in both subjects.
While learning the subject of physics, the relationship between mathematics and physics must be clearly understood and keep in mind throughout the learning journey of physics.