Mathematical Investigation

Mathematical study Pythagoras is a great mathematician who made the theorem and one of his famous theorems is Pythagorean theorem. You start with a right triangle. Hypotenuse is marked as "c". The bottom of the triangle is labeled "b" and the edge of the triangle is labeled "a". [Image] According to Pythagorean theorem, in arbitrary right triangle, the length of the hypotenuse and the length of the other two sides are related by a simple expression. Therefore, if you know the length of any two sides of a right triangle, you can use the Pythagorean theorem to find the length of the third side. Algebra: a2 + b2 = c2 Number 3, 4, 5

The field of research, known as the history of mathematics, is primarily the origin of mathematical discovery, and, to a lesser extent, investigation of past mathematical methods and symbols. Before knowledge spreads in modern times and around the world, examples of new mathematical developments have appeared in only a few places. Since 3000 BC, Mesopotamian Sumer, Mecca, Assyria, and ancient Egypt and Ebra began using arithmetic, algebra, geometry for taxation, commerce, trade and astronomy. Create a calendar and record time

From the early days, the foundation of mathematics was under investigation; Is mathematics the ultimate truth, or different structures can establish different mathematics? We have iterated based on Peano arithmetic and first-order logic, set theory, group theory, ring theory, but now we are using higher-order categorical theory. In elementary mathematics, algebraic processing has a finite structure of (almost) elegant nature and analysis deals with numerical sequences of infinitely small and infinite, but some methods are difficult to handle, and phase processing gives structural spatial transformation . Today, we are integrating everything and building a framework like derived algebra geometry

Mathematical and theoretical biology is not experimental biology with experimental conduction but biology using theoretical analysis, mathematical models, and biological abstraction to study the structure, development, and behavioral principles of control systems It is a field of. This field to prove and validate scientific theory is sometimes called mathematical biology or biomathematics to emphasize the mathematical aspect or sometimes called theoretical biology to emphasize the biological aspect . Mathematical biology focuses on the use of mathematical tools to study biological systems, whereas theoretical biology focuses on the development of biological theory.