Masatake Mori facts for kids
Quick facts for kids
Masatake Mori
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|---|---|
| Born | 1937 |
| Died | 2017 |
| Nationality |  Japan |
| Alma mater | University of Tokyo |
| Known for | Double exponential integration formula Discrete Variational Method |
| Scientific career | |
| Fields | Numerical integration Numerical methods for partial differential equations |
| Institutions | University of Tokyo Kyoto University |
Masatake Mori (born in 1937, died in 2017) was a brilliant Japanese mathematician. He was a professor at famous universities like the University of Tokyo and Kyoto University. Professor Mori was known for his amazing work in a field called numerical analysis.
One of his most important inventions was the double exponential integration formula. This special math tool helps computers solve very tricky problems. It's one of the best ways to do something called numerical integration. He also worked with another smart person named Masaaki Sugihara on several projects.
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Who Was Masatake Mori?
Masatake Mori was a numerical analyst. Think of a numerical analyst as a math detective. They use special math and computer programs to solve problems that are too hard for humans to figure out by hand. These problems often involve huge amounts of data or very complex equations.
Mori dedicated his life to making these computer-based math solutions better. He wanted to find faster and more accurate ways for computers to do complex calculations. His work helped many different areas of science and engineering.
What is Numerical Analysis?
Numerical analysis is a branch of mathematics. It's all about finding approximate solutions to math problems. These are problems that are impossible or very difficult to solve exactly. Instead, numerical analysis uses step-by-step methods, called algorithms.
These algorithms are perfect for computers. They allow computers to quickly find answers that are very close to the real solution. This field is super important in science, engineering, and even video games. It helps us predict weather, design airplanes, and create realistic graphics.
His Big Idea: The Double Exponential Formula
Professor Mori's most famous invention was the double exponential integration formula. This sounds complicated, but it's a very clever way to solve a specific type of math problem. It made calculations much more accurate and faster than before.
What is Numerical Integration?
Imagine you want to find the area under a curved line on a graph. This is called integration. Sometimes, the curve is so complex that finding the exact area is almost impossible. That's where numerical integration comes in.
Numerical integration uses math tricks to estimate this area. It breaks the area into tiny, simple shapes, like rectangles. Then it adds up the areas of all those tiny shapes. The more shapes you use, the closer your estimate gets to the real answer.
Why Was His Formula Special?
Mori's double exponential formula was a game-changer for numerical integration. It was special because it could handle very difficult curves. It also gave incredibly accurate results. Plus, it did this very quickly.
This formula made it easier for scientists and engineers to solve problems. It helped them in fields like physics, chemistry, and even finance. It allowed computers to do calculations that were once thought to be too hard or too slow.
Where Did He Work and Study?
Masatake Mori was a very educated person. He studied at the University of Tokyo, which is one of the most famous universities in Japan. After finishing his studies, he became a professor.
He taught and did research at both the University of Tokyo and Kyoto University. These are both top universities known for their strong math and science programs. His work there helped train many new mathematicians and scientists.
