Geometry plays an important role in higher mathematics. First of all, geometry is one of the foundations of mathematics. It studies the shape, size and position of the ubiquitous space in our daily life and scientific research. For example, architects need geometry to design and build buildings, engineers need geometry to solve complex mechanical problems, and physicists need geometry to describe and understand natural phenomena.

Secondly, geometry is the basis of many branches of higher mathematics. For example, many concepts and methods in calculus are derived from geometry, such as limit, derivative and integral. Concepts such as vector space and matrix in linear algebra are also closely related to geometry. Many models in probability theory and statistics, such as probability density function and distribution of random variables, can be intuitively expressed and understood by geometric figures.

In addition, geometry is also the source of many mathematical theorems and formulas. For example, Pythagorean theorem and Euler formula are all important achievements of geometry. These theorems and formulas are widely used in all branches of higher mathematics.

Generally speaking, the position of geometry in higher mathematics can not be ignored. It is the basis of understanding and mastering advanced mathematics, and it is also an important driving force to promote its development.