The chief purpose of the study of the external world is to discover the reasonable order and harmony which God has given it, and which He has revealed to us in the language of mathematics.

——Kepler

　　During the Renaissance (1400-1600), Europe was deeply shocked by several things. First, the impact of the revolution was very widespread; second, a large number of Greek works entered Europe, and the invention of moveable printing accelerated the spread of knowledge. . In addition, the introduction of the compass and gunpowder made ocean travel possible. Gunpowder was introduced from China in the thirteenth century, which changed the methods of warfare and the design of defensive formulas, making it important to study the motion of projectiles . A new economic era began due to the massive development of manufacturing, mining, large-scale agriculture, and trade of all kinds. The resurgence of interest in mathematics was almost the result of the resurgence of Greek knowledge and life principles. In the fifteenth century, a large number of Greek works entered Europe. Plato's works were understood by everyone, and everyone knew that nature was designed according to mathematical methods. And this design is a very harmonious and beautiful interior truth. The church was founded on authority. It worshiped Aristotle. In the face of doubts and the vagaries of ethics and morals, mathematics was the only system of truth recognized by everyone. Mathematical knowledge was certain. It gave people on the swamp. It provided a stable foothold for the country; so people directed their efforts to seek truth to mathematics.
　　Mathematicians and scientists also get some inspiration from theological bias, which inculcates the view that all natural phenomena are unfairly interconnected and operate according to an overarching plan. So, the theological theory that God created the universe has no bearing on it. How can we go hand in hand with finding the mathematical laws of nature? The answer is to propose a new dogma, that is: God designed nature mathematically, and to praise God as a supreme mathematician, which makes the search for the mathematical laws of nature a legitimate religion. Activity. This theory inspired the work of sixteenth-, seventeenth-, and even some eighteenth-century mathematicians. Therefore, natural scientists during the Renaissance were considered to be theologians, using nature instead of the Bible as their research object. Some of their representatives, such as Kepler, Galileo, Pascal, Descartes, Newton, Leibniz and other scientists Because they are convinced that God has put mathematical laws into the universe when he constructed it, they insist on looking for the mathematical laws behind natural phenomena. The discovery of every natural law was considered to prove the wisdom of God rather than the wisdom of the researcher.
　　The main contribution of mathematics during the Renaissance: geometric perspective (widely used in architecture, painting, etc.). The best mathematician during this period was the German Albrecht Dürer (1471-1528) . His works on geometry include "Compass and Ruler Measurement Method" etc. There were also important developments in algebra and trigonometry.