Modern vector theory is based on the geometric representation of complex numbers. /kloc-in the 0/8th century, due to the use of complex numbers in some mathematical derivation, the geometric representation of complex numbers has become a hot topic. Hamilton discovered quaternions in the process of making a modular simulator of three-dimensional complex numbers. Subsequently, Gibbs and Harvey created a vector analysis system based on quaternion, which was finally widely accepted.
Extended data
Vector, originally applied to physics. Many physical quantities such as force, velocity, displacement, electric field intensity and magnetic induction intensity are vectors. Around 350 BC, Aristotle, a famous ancient Greek scholar, knew that force can be expressed as a vector, and the resultant force of two forces can be obtained through the famous parallelogram rule.
The word "vector" comes from directed line segments in mechanics and analytic geometry. Newton, a great British scientist, was the first to use directed line segments to represent vectors.
Judging from the history of mathematical development, the vector structure of space has not been recognized by mathematicians for a long time in history. It was not until the end of 19 and the beginning of the 20th century that people linked the nature of space with vector operation, making vector a mathematical system with excellent universality of operation.
Vector can enter mathematics and develop, first of all, we must talk about the geometric representation of complex numbers. At the end of18th century, wiesel, a Norwegian surveyor, first expressed the complex number A+Bi with points on the coordinate plane (A and B are both rational numbers and not equal to 0 at the same time), and defined the vector operation with geometric complex operation.
Points on the coordinate plane are represented by vectors, and the geometric representation of vectors is used to study geometric problems and trigonometric problems. People gradually accepted the complex number, and learned to use it to represent and study the vector on the plane, so the vector quietly entered mathematics.
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