1, function theory

Function theory, meaning is the general term of real variable function theory and complex variable function theory, and real variable function theory is a theory to study the continuity, differentiability and integrability of functions; The theory of complex variable function is a theory to study the properties of complex variable analytic function.

2. Algebra

Algebra is one of the mathematics disciplines contained in self-study exam linear algebra. Algebra is a branch of mathematics that studies numbers, quantities, relations, structures and algebraic equations, and it is also one of the most important and basic branches of mathematics. Algebra has a long history. It comes into being and develops with the improvement of human living standard, the progress of production technology and the needs of science and mathematics itself.

3. Geometry

Geometry is a science of studying forms, which is guided by human visual thinking and cultivates people's observation ability, spatial imagination ability and insight. The development of geometry is Euclid's Euclid geometry, followed by1the first half of the 9th century. The birth of non-Euclidean geometry is another prosperity of projective geometry, and finally it is the unity of geometry.

4. Mathematical analysis

Mathematical analysis, also known as advanced calculus, is the oldest and most basic branch of analysis. Generally speaking, it refers to a relatively complete mathematical subject with the general theory of calculus and infinite series as the main content, including their theoretical basis (basic theory of real number, function and limit).

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