Seriously, math is the language of science. All science comes from intricate mathematical relationships. Aside from that, there is inherent beauty in math, itself. There is nothing like proving a brand new theorem that nobody has seen before that links together many disparate pieces of data into one coherent picture.
It is very sad that in many yeshivos, math and science are taught just to be yotzei zayn, without motivating the students to appreciate or enjoy the tremendous chochmas haborei that goes into the laws of nature.
There is also nothing like developing a new insight or cure for a disease that can help someone. This is an entire world of chochma that is so deep, and many go through life without the slightest clue as to what they are missing. Instead of using one’s brains to unravel the mysteries of creation, we use it to unravel our neighbor’s private business, and waste our energies gossiping and frittering away valuable time because of our incessant boredom.
One who is involved in Torah learning and chochmas hateva can never ever be bored. There is no yetzer hara to gossip. Math is the gateway to chochmas hateva. It is like entering a palace.
Just a tiny example. All our cells contain numerous types of proteins. These are composed of chains of amino acids. The orders and types of amino acids give each protein a special shape. The shapes determine their reactivity. This determines their function. Some proteins are clear, like the lens of an eye. Some regulate the passage of small molecules through channels which causes charge differences between the inside and outside of the cell membrane. This is the method of nerve conduction of electrical impulses.
But scientists do not know how to predict the folding of the chains of amino acids. At each step in the folding process, there are 3-D forces pushing and pulling the protein from all sides because of chemical interactions between the atoms of the amino acids. This plays out like a movie, eventually getting the protein into the right shape for it to do its job. But at each millisecond, the forces must move the protein into a certain direction so at the next millisecond it will be in the proper position. However, the forces depend on the position of the atoms. (Think of a magnet.) But the positions of the atoms are changing because of the forces from the previous millisecond.
This leads to complex differential equations that govern this type of system. Nobody really knows how to set them up or solve them. If we could, we could probably cure cancer and many other diseases. Many hereditary diseases are caused by a mutation, which substitutes an incorrect amino acid in even a single position in the chain. This has drastic effects on the shape and function of the protein. In many cases we don’t know how to explain what is going wrong with the mutated protein, or how to fix it. Many people are working on complex computer programs in the field of molecular dynamics to simulate these types of systems. The goal is to cure diseases. Maybe we could cure Tay-Sachs and Cystic Fibrosis and Muscular Dystrophy if we better understood the mathematics of the chemistry of mutations.
This is just one example of the complex math found in nature. It is an entire world which most people do not even know exists. At least if the schools explained why we study all this math, it might motivate students to start working on research and doing some serious thinking. Instead, the students are told, you only need this for the regents, and you will never use it in life. Very sad. Literally training students to be airheads.