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What's the difference between advanced mathematics and mathematical analysis?
1, different definitions

Advanced mathematics: refers to a part of mathematics in which objects and methods are more complicated than elementary mathematics.

Mathematical analysis: also known as advanced calculus, is the oldest and most basic branch of analysis.

2. Different learning contents:

Advanced Mathematics: The main contents include: series, limit, calculus, spatial analytic geometry and linear algebra, series, ordinary differential equations.

Mathematical analysis: Generally speaking, it refers to a relatively complete mathematical discipline with the general theory of calculus and infinite series as the main content, including their theoretical basis (basic theory of real numbers, functions and limits).

3. The development history is different

Advanced Mathematics: It is generally believed that all mathematics disciplines developed before16th century generally belong to the category of elementary mathematics. So/kloc-the mathematics disciplines established after the 7th century are basically the contents of advanced mathematics. It can be seen that the category of higher mathematics can not be explained clearly by a few simple sentences or listing its branches.

Mathematical analysis: In the early days of ancient Greek mathematics, the results of mathematical analysis were given implicitly. For example, Zhi Nuo's dichotomy paradox implies the sum of geometric series. Later, ancient Greek mathematicians such as eudoxus and Archimedes made the mathematical analysis more explicit, but it was not very formal.

When they calculate the area and volume of regions and solids by exhaustive method, they use the concepts of limit and convergence. In the early days of ancient Indian mathematics, Pashgaro, a mathematician in the12nd century, gave a second example of derivative.

References:

Baidu Encyclopedia-Mathematical Analysis

References:

Baidu encyclopedia-advanced mathematics