Mathematics is a big concept with many smaller math concepts and applications. A good dose of studying will not assist in the understanding of all these concepts. Among these concepts, some of them are very important to make the mathematics hall of fame.

**Set and sets theory**

A set is a group of objects. These objects are tangible set elements or components such as bobcats and jellybeans. They can also be intangible, like ideas, numbers, fictional characters, among others. Sets are a flexible and straightforward way of planning the world. You can define the entire math with them.

Mathematicians carefully define sets to limit weird problems. For example, a set may include another set, but it can’t have itself. After correct concept explanation, they use sets to define operations and numbers. For example, subtraction and addition. It creates a starting point for the mathematics that we know and adore.

**Prime numbers will go forever**

Prime numbers are any counting numbers that have only two divisors. Divisors are numbers that divide into them evenly, i.e., one and the number itself. Prime numbers will go forever, meaning that its list is infinite.

**The zero concept**

Zero may appear as nothing, but it’s among the greatest inventions of the time. Like the other inventions, zero didn’t exist until someone thought about it. The Romans and the Greeks were good in mathematics and logic, had no clue about zero until its discovery.

The zero is among the elementary math concepts as a number arose independently from many different places. The Mayans in South America used a number system that had a zero symbol.

The worldwide common Hindu- Arabic system developed from the ancient Arabic system. It had a placeholder for zero. Zero is nothing. It’s a simple way to express nothing mathematically. The nothing expressed mathematically is something.

**The bigger pi pieces**

The pi symbol is a Greek letter representing the circumference ratio of a circle. The appropriate value for pi is 3.1415926535… Pie is a number known as a constant in algebraic terms. It’s essential for the following reasons:

Geometry will not be the same without pie. Circles appear among the most basic geometrical shapes. They need pie to measure their area and circumference.

Pie as an irrational number means that no other fraction equal to it exits. Pie is a transcendental number indicating it’s not the value of x in polynomial equations.

**Math is full of pie**

You will meet it when you don’t expect it. In trigonometry, triangles aren’t circles. Trig will use circles in measuring the angle sizes. You won’t swing a compass without getting to pie.

**Mathematics equality**

The equal sign is ubiquitous in mathematics, and it goes unnoticed. It carries the equality concept when one thing is mathematically equal to the other. Mathematical statements with equal signs are equations. The symbol links the two math expressions with the same value. It gives powerful ways to connect these expressions.

**Bringing geometry and algebra together**

Before the cartesian coordinate system, geometry and algebra were two distinct math areas. Algebra was only the study of equations, while geometry study of figures in space or on the plane.

Rene Descartes, a French mathematician, and philosopher invented the graph. He brought geometry and algebra together. It enables you to deduce solutions to equations with y and x variables as lines, points, circles, etc.

**Imagery numbers**

They are numbers that are absent on the actual number line but essential in mathematics. For example, the square root sign.

**Number line**

Every point or section of the number line represents a number. The number line was a fundamental analysis of the paradox that had existed for a long time.

**Infinity commands**

Infinity is the quality of endlessness. Sir Isaac Newton introduced the limit to enable calculations of numbers nearing infinity.

### Conclusion

Mathematics is full of advanced math concepts that you can’t understand. The more you advance in it, the more you get new concepts.