- Mathematics is considered the language of science and is used to describe and explain natural phenomena.
- The concept of zero as a numerical digit was developed independently by ancient civilizations, including the Mayans and the ancient Indians.
- The golden ratio, approximately equal to 1.618, is a mathematical constant found in various natural and artistic forms, such as the proportions of the human body and certain geometric shapes.
- The ancient Greek mathematician Pythagoras is famous for his theorem, which states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides (a^2 + b^2 = c^2).
- The Fibonacci sequence is a series of numbers in which each number is the sum of the two preceding ones (e.g., 0, 1, 1, 2, 3, 5, 8, 13, 21, and so on). This sequence appears in various natural phenomena, such as the branching of trees and the arrangement of petals in flowers.

- The concept of infinity is an important topic in mathematics. There are different sizes of infinity, and some infinities are larger than others.
- 7.The mathematical constant pi (π) represents the ratio of a circle’s circumference to its diameter. It is an irrational number, meaning it cannot be expressed as a simple fraction, and its decimal representation goes on infinitely without repeating.
- Probability theory is a branch of mathematics that deals with uncertainty and randomness. It is widely used in various fields, including statistics, economics, and computer science.
- Algebra is a branch of mathematics that deals with symbols and the rules for manipulating these symbols to solve equations and analyze relationships between variables.
- The field of calculus, developed by Isaac Newton and Gottfried Wilhelm Leibniz, is essential for studying change and motion. It has two main branches: differential calculus, which focuses on rates of change and slopes, and integral calculus, which deals with areas, volumes, and accumulation.