Mathematics encompasses many different types of studies, so its discovery can’t even be attributed to one person. Instead, mathematics developed slowly over thousands of years with the help of thousands of people!
How did it get started? No one can know for sure, but we can use our imaginations to think about how mathematicsmight have gotten its start. For example, if we go all the way back to prehistoric man gathering berries to eat, we can imagine how this basic task probably gave rise for a need for math. If you and your prehistoric buddy gathered a basket full of berries, you’d probably agree to split them evenly. First, you’d need to know how many berries you gathered. That means you’d need to count them. You might first need to come up with names for the basic units ofmeasurement. Is this how counting and the first numbers came about? No one knows, but you can see how this might be how it happened.
Similarly, division might have been born from the need to split that pile of berries evenly. How advanced didprehistoric man get with mathematics? Probably not far at all, but a need for certain mathematic principles likely arose from daily life and, as such, were discovered or created out of need rather than invented. Early learning eventually led to more advanced fields of mathematics, such as algebra, geometry, calculus, and trigonometry!
Because many mathematical discoveries were made as a result of necessity, it comes as no surprise that scientists believe that many basic mathematical functions, such as addition, multiplication, and the like, appeared thousands of years ago in various areas at the same time, including China, India, Mesopotamia, and Egypt.
The oldest clay tablets with mathematics date back over 4,000 years ago in Mesopotamia. The oldest written texts onmathematics are Egyptian papyruses. Since these are some of the oldest societies on Earth, it makes sense that they would have been the first to discover the basics ofmathematics.
More advanced mathematics can be traced to ancient Greece over 2,500 years ago. Ancient mathematician Pythagoras had questions about the sides of a right triangle. His questioning, research, and testing led to a basic understanding of triangles we still study today, known as the <span>Pythagorean </span>Theorem.
Most experts agree that it was around this time (2,500 years ago) in ancient Greece that mathematics first became an organized science. Since that time, mathematical discoveries have spurred other mathematicians and scientists to build upon the work of others, constantly expanding our understanding ofmathematics and its relation to the world around us.
Hope this helps! :)
in the denominator, so:![x^2-2x-3\neq0\\\\(x^2-2x+1)-4\neq0\\\\(x-1)^2-4\neq0\\\\(x-1)^2-2^2\neq0\qquad\qquad[\text{use }a^2-b^2=(a-b)(a+b)]\\\\(x-1-2)(x-1+2)\neq0\\\\ (x-3)(x+1)\neq0\\\\\boxed{x\neq3\qquad\wedge\qquad x\neq-1}](https://tex.z-dn.net/?f=x%5E2-2x-3%5Cneq0%5C%5C%5C%5C%28x%5E2-2x%2B1%29-4%5Cneq0%5C%5C%5C%5C%28x-1%29%5E2-4%5Cneq0%5C%5C%5C%5C%28x-1%29%5E2-2%5E2%5Cneq0%5Cqquad%5Cqquad%5B%5Ctext%7Buse%20%7Da%5E2-b%5E2%3D%28a-b%29%28a%2Bb%29%5D%5C%5C%5C%5C%28x-1-2%29%28x-1%2B2%29%5Cneq0%5C%5C%5C%5C%0A%28x-3%29%28x%2B1%29%5Cneq0%5C%5C%5C%5C%5Cboxed%7Bx%5Cneq3%5Cqquad%5Cwedge%5Cqquad%20x%5Cneq-1%7D)
