Mathematics is perhaps one of the most underrated sciences. Everywhere in our lives, mathematics runs our computers, flies our planes, and protects our information. But for such an important part of our lives, very few people can say they know how it's done, how RSA encryption protects their email, or even that 21 squared is 441 without engaging in tedious mental math or picking up their computer. calculator. Contrary to popular belief, mathematics has a wide range of useful applications. Those who would ask whenever they need algebra, both linear algebra and calculus are widely used in computer programming and engineering. The fact is that mathematics is integrated into almost every profession and every aspect of life. During World War II, number theory, a highly theoretical branch of mathematics focused on the properties of integers, found new applications in the field of cryptography. Both the Allies and the Axis sent encoded messages via airways to which both sides had access. They obviously didn't want the other party to know what they were doing, so they both sent coded messages. Mathematics played a primary role in cracking these codes, especially the Enigma code used primarily by Nazi Germany. The problem with an encoded message, however, is that historically a code had to be set up, along with some sort of decryption key, between the two parties wishing to communicate. This led to the field of public key cryptography. Imagine that two people want to send messages through the postal service, but they want to make sure that no one reads it. Person A places a lock on the package, to which both Person A and Person B have the key. This allows person B to remove the low...... center of the card...... known for his creation of the Mandelbrot set fractal, also in appendix a, he created the fractal using computer software. Fractals can be used to store images. The idea is to take some colored pixels and create a fractal generating program that would result in the image. Storing a simple fractal generation program and a few pixels would be infinitely more efficient than storing an entire .JPG image. In conclusion, mathematics can and has many applications outside of theoretical ones. Whether playing the odds by counting cards or analyzing a new road plan, mathematics has applications. Mathematics is also an integral part of everyday life, protecting our data and enabling the functioning of electronics and computers that allow us to live our way of life. Whether we like it or not, mathematics is a fundamental part of our lives.