Different cultures have made their own forms of mathematics. The Mayans, Indians, Greeks, and Chinese all developed separate math systems. Our mathematics today comes mainly from ideas developed in ancient India and Greece. Algebra and other topics were taken from India to Arabia, where they were then transferred to Europe. Most of our geometry comes from the Greeks. Calculus was developed in Europe by Sir Isaac newton.
There was no single person who invented mathematics. Mathematics was used, and technically invented, by many cultures around the world. These cultures used their own form of mathematics, which could be considered 'math' in their time and how they used it. These cultures include the Mayans, Indians, Greeks, and Chinese, India and Greece. These forms of math spread throughout the world, and eventually became the math we know today.
However, there are many topics under 'math'. We do know the sole inventor of Algebra, but Algebra isn't math as a whole, so the inventor can only be credited for Algebra, the certain subject of math that helps people solve real world problems. The inventor was Arabic scholar Al-Khwarizmi (c. 780 - c. 850). He invented what is known today as 'Algebra'.
Though many cultures before Al-Khwarizmi had used different forms of algebraic methods (such as the Babylonians), Al-Khwarizmi is still considered the "father of Algebra" because of his extensive work, knowledge, and wisdom to know that he was using, and inventing, Algebra.
Well technically no one has ever invented math but I know that the Greeks had started a way of counting numbers.
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A math concept is how you solve a math problem or the ideas. You usually have to memorize math concepts.