Poincare photo
In childhood, under the careful instruction of his mother, Poincare gave full play to his writing and expression skills. At that time, Poincare was not as healthy as a child of his age, but his performance was excellent. Since he entered the school, his achievements are almost the first in this field, especially in mathematics, and he has amazing accomplishments. This is the description of middle school in The Story of Poincare.
Most of Poincare's stories are reflected in his attainments in mathematics. All branches of mathematics are completely mastered, which can be said to be profound. After having the energy condition of high IQ, his own reasons limited his creative discovery. For example, his physical coordination and eyesight are not very good, even lower than normal people. But in this congenital deficiency, Poincare successfully obtained the degree and position of junior lecturer. During his teaching, he became chairman with his achievements in mathematical physics and probability theory, celestial mechanics and astronomy. This is poincare's description of his achievements in his story.
Later, Poincare applied his phase diagram theory and finally discovered the chaos theory. It marks the birth of a new era of celestial mechanics. He made an indelible contribution to the scientific community.
Poincare's achievements
Speaking of Poincare's achievements, we are most familiar with his title as the last all-round scientist. How this title came into being is still unknown. As the most famous scientist in modern France, Poincare's knowledge involves not only the branches of mathematics, such as mathematical foundation, algebra, geometry and so on. He also extended his research tentacles to the field of physics, enriching and deepening Lorenz theory, which also provided an opportunity for Einstein to put forward the theory of relativity.
Poincare photo
As can be seen from the above introduction, Poincare's research field is very extensive. Poincare only participated in mathematical research. In addition to some basic fields of mathematical science, Poincare also attached importance to the study of extenics. His achievement is not only a self-created voluntary function theory, but also a more general situation based on this theory, and the theory is standardized. In addition, Poincare's achievement is also reflected in his general single-valued principle.
Poincare's physical research mainly focuses on the category of celestial mechanics. In order to study the orbits of planets in the field of celestial mechanics, he also applied the principle of calculus to physics for the first time, which is why he can occupy a place in the field of mathematical physics. It can be said that Poincare's achievements in celestial mechanics research can almost be compared with Newton's mechanical research, and his contribution is very great.
However, poincare's achievements do not stop there. In addition to the above outstanding achievements, Poincare also founded the famous dynamic system theory. Of course, this is also part of his achievements in the study of celestial mechanics. Mathematically, he founded the theory of combinatorial expansion, which made great contributions to partial differential equations.
Poincare created by mathematics
Poincare, 1854 was born in France, a famous mathematician, astrophysicist and mathematical physicist. Poincare mainly studies number theory, algebra, geometry and the theory of multiple complex variables. His great achievements in mathematics have had an important influence on modern mathematics. So, poincare
Poincare photo
When it comes to poincare's mathematical creation, we have to say combinatorial topology. He created combinatorial topology in six papers, and created manifold triangulation, simple complex, center of gravity division, dual complex, complex correlation coefficient matrix and other tools by introducing concepts such as Betty number, torsion coefficient and basic group. Using these concepts, Euler-Poincare formula is established, and the homology duality theorem of manifolds is proved.
In addition, Poincare's creation in mathematics is also reflected in his achievements in mathematical physics and partial differential equations. Poincare proved the existence of solutions to Dirichlet problem by scanning method. Surprisingly, it actually pushed the development of potential theory to a new stage. From 188 1 to 1886, poincare published four articles.