The mathematical transformation began in 300BC when was organized by the Greek mathematician Euclid. He wrote a book where all the information was stored. Although he did not clearly state the connection between mathematical transformation and his work it with it become mathematical transformation. His books covered plane and solid geometry including what we called currently as algebra, trigonometry, and advanced arithmetic.
As time has been passing by man has been altering the proposal of Euclid to bring the current geometry.
Even in 300 BC, geometry was recognized to be not just for mathematicians. Anyone can benefit from the basic learning of geometry, which is how to follow lines of reasoning, how to say precisely what is intended, and especially how to prove basic concepts by following these lines of reasoning. Taking a course in geometry is beneficial for all students, who will find that learning to reason and prove convincingly is necessary for every profession.
It is true that not everyone must prove things, but everyone is exposed to proof. Politicians, advertisers, and many other people try to offer convincing arguments. Anyone who cannot tell a good proof from a bad one may easily be persuaded in the wrong direction. The geometry provides a simplified universe, where points and lines obey believable rules and where conclusions are easily verified. By first studying how to reason in this simplified universe, people can eventually, through practice and experience, learn how to reason in a complicated world.