Briefly list the branches of modern mathematics, hoping to help you. Specifically, you should check the relevant information (human knowledge is so vast that you will never learn it): the earliest mathematics-arithmetic is the oldest, most basic and initial part of mathematics. Elementary algebra of higher algebra starts with the simplest one-dimensional linear equation. On the one hand, it discusses the linear equations of binary and ternary, on the other hand, it studies the equations that can be transformed into quadratic by quadratic or quadratic. Along these two directions, algebra discusses the linear equations with any number of unknowns, also known as linear equations, and also studies the higher-order unary equations. This stage is called advanced algebra. Geometry in life-one of the oldest branches in the history of European geometry and one of the most basic branches in the field of mathematics. Coordinate Method-Analytic Geometry Since16th century, due to the development of production and technology, astronomy, mechanics, navigation and other aspects have put forward new demands for geometry. For example, the German astronomer Kepler found that the planet runs around the sun along an ellipse, and the sun is at a focus of this ellipse; Italian scientist Galileo discovered that throwing objects tested parabolic motion. These findings all involve conic curves. In order to study these complex curves, the original set of methods is obviously not applicable, which leads to the emergence of analytic geometry. Differential geometry Differential geometry is a branch of mathematics, which uses the theory of mathematical analysis to study the properties of curves or surfaces in its neighborhood. In other words, differential geometry is a branch of mathematics that studies the properties of general curves and surfaces in a "small range". Algebraic geometry studies the idea of geometry by algebraic methods. After analytic geometry appeared, it developed into another branch of geometry, which is algebraic geometry. The research objects of algebraic geometry are algebraic curves of plane, algebraic curves of space and algebraic surfaces. Calculus Calculus is a general term for differential calculus and integral calculus. Everything in the objective world, from particles to the universe, is always moving and changing. Therefore, after introducing the concept of variables into mathematics, it is possible to describe the movement phenomenon in mathematics. Due to the emergence and application of the concept of function and the needs of the development of science and technology, a new branch of mathematics has emerged after analytic geometry, which is calculus. Calculus plays a very important role in the development of mathematics. It can be said that it is the greatest creation in all mathematics after Euclidean geometry. The theory of real variable function calculus came into being in the 17th century, and calculus was basically mature in the late 18th century and early 19th century. Mathematicians have extensively studied and established many branches of it, but it soon formed a major department in mathematics, namely mathematical analysis. Ordinary differential equations Differential equations are generated almost simultaneously with calculus. When Scottish mathematician Naipur founded logarithm, he discussed the approximate solution of differential equation. Newton used series to solve simple differential equations when establishing calculus. Later, Swiss mathematician Jacob? Bernoulli, Euler, French mathematicians Crelo, D'Alembert, Lagrange and others continue to study and enrich the theory of differential equations. Probability and mathematical statistics We call the collective regularity of a large number of similar random phenomena statistical regularity. Probability theory and mathematical statistics are mathematical disciplines that study the statistical regularity of a large number of similar random phenomena. In recent decades, with the vigorous development of science and technology, probability theory has been widely used in national economy, industrial and agricultural production and various disciplines. Many emerging applied mathematics, such as information theory, game theory, queuing theory and cybernetics, are based on probability theory. Probability theory and mathematical statistics are a branch of random numbers and are closely related disciplines of the same kind. However, it should be pointed out that probability theory, mathematical statistics and statistical methods all have different contents. Mathematical logic is a discipline to explore, expound and establish effective reasoning principles, which was first founded by Aristotle, an ancient Greek scholar. Mathematical logic is a subject that uses mathematical methods to study reasoning, proof and other issues. Also known as symbolic logic. In 1960s, fuzzy mathematics appeared as a new discipline. Fuzzy mathematics is a new discipline, which has been applied to fuzzy control, fuzzy identification, fuzzy cluster analysis, fuzzy decision-making, fuzzy evaluation, system theory, information retrieval, medicine, biology and other fields. There are concrete research results in meteorology, structural mechanics, control and psychology. But the most important application field of fuzzy mathematics is computer function, which many people think is closely related to the development of a new generation of computers. Fuzzy mathematics is far from mature, and there are still different opinions and views on it, which need to be tested by practice. Mathematical physics Mathematical physics is a mathematical theory and method aimed at studying physical problems. It discusses the mathematical model of physical phenomena, that is, to seek the mathematical description of physical phenomena, to study their mathematical solutions to physical problems established in the model, and then to explain and predict physical phenomena according to the solutions, or to modify the original model according to physical facts. The crown of mathematics-number theory The subject of number theory begins with the study of integers, so it is called integer theory. Later, the theory of integers was further developed and called number theory. To be exact, number theory is a subject that studies the properties of integers. Algebra, geometry and analytical mathematics are the three basic disciplines of mathematics, and the occurrence and development of each branch of mathematics are basically around these three disciplines.