To tell the truth, it's no use knowing this. Is it difficult? It depends on personal likes and thinking habits. Some people find it difficult to learn algebra, but it will be easy to learn analysis, while others do the opposite. Say it briefly; Mathematics has "three lows and three highs", that is, analysis, algebra and geometry. Three lows refer to the basic courses in universities. Analysis mainly refers to mathematical analysis (including real number theory, calculus theory, series theory, differential equation, etc. ), algebra mainly refers to higher algebra (including polynomial theory, matrix theory, vector space, linear space and so on. ), and geometry mainly refers to spatial analytic geometry (including projection geometry, etc.). "Three highs" refers to the improvement research corresponding to three basic aspects. Analysis includes real analysis, complex analysis and functional analysis, and algebra includes abstract algebra (groups, rings and fields) and some special algebraic structures. Geometry mainly refers to topology and topological space (such as differential geometry, Riemannian geometry and symplectic geometry) studied by analysis and algebraic theory. The statement of "three highs and three lows" can roughly reflect some general situations of higher mathematics teaching, but it is not entirely appropriate. In the three high parts, their respective characteristics are not so obvious. Modern mathematical research presents two characteristics: structure and analysis, which can be used interchangeably in many different fields. Algebraic tools are included in the analysis, such as function space can also be regarded as algebraic space. Analytical methods, such as analytic number theory, are often used in algebraic research. The study of geometry is based on space and is handled by analytical methods. In view of the questions raised; Advanced geometry: the research content includes determining the mathematical form of spatial graphics (such as the representation of spatial surfaces). ) and the transformation of spatial graphics (that is, the transformation of mathematical forms), among which there are many kinds of transformations. Fundamentals of group theory: The concept of group is one of the most basic concepts in abstract algebra (also called modern algebra). Group theory studies the structural forms of groups and the relationships between different groups, such as what kind of algebra can form a group, the number of elements in a group, subgroups and their relationships, and the isomorphism of groups. Topology: Simply speaking, it is to study invariants under continuous transformation, but it is more complicated to expand. Differential geometry: you can tell by the name. In differential geometry, the concept of variables will be extended from the traditional scalar, vector and functional to manifold combinatorial mathematics, including combinatorial analysis, combinatorial symbols and combinatorial design. The arrangement and combination of high school and middle school belongs to the content of combination counting. It is difficult to say that mathematics is difficult, and it is not difficult to say that it is not difficult. There is a strict logical relationship in the study of mathematics. Without a good foundation, you can't learn the following courses well. If you want to study the following courses in depth, you must lay a good foundation. Many difficult mathematics will eventually be solved by simplifying to basic calculus and linear algebra.