Biography FIT

Viet of Francois, French mathematician. Developed almost the entire elementary algebra. The “vieta formulas” are known, which gives the dependence between the roots and the coefficients of the algebraic equation of the theorem. I introduced letter designations for coefficients in equations. Lawyer by profession. I introduced letter designations not only for unknown values, but also for the coefficients of equations; Thanks to this, it was possible for the first time to expression of the properties of equations and their roots with general formulas.

He owns the establishment of a uniform reception of solving equations of the 2nd, 3rd and 4th degrees. Among the discoveries, it itself has been especially highly appreciated by the establishment of dependence between the roots and the coefficients of the equations. For a close solution of equations with numerical coefficients, he proposed a method similarly with Newton's later method.

In trigonometry, it gave a complete solution to the problem of determining all elements of a flat or spherical triangle according to three data, found important decompositions Cos nx and sin nx according to the degrees of COS X and Sin X. Veys for the first time examined endless works. The essays of Vieta are written in a difficult language and therefore gained less widespread than they deserved.

The materials of the Great Soviet Encyclopedia were used. Rectmeister Senor de la Bigothy Francois Wait was born in the year in the south of France in the small town of Fantene-Le-Contain. Vietet's father was a prosecutor. The son chose the profession of his father and became a lawyer, having graduated from the university in Poito. In the year, a twenty -year -old lawyer began his career in his hometown, but three years later he switched to the service in the noble Gugenot family of de Parten.

He became the secretary of the owner of the house and the teacher of his daughter of the twelve -year -old Catherine. It was teaching that aroused an interest in mathematics in a young lawyer. When the student grew up and got married, he did not part with her family and moved with her to Paris, where it was easier for him to learn about the achievements of the leading mathematicians of Europe.

He talked with the prominent professor of the Sorbonne Ramus, with the largest mathematician of Italy Raphael Bombelli conducted friendly correspondence. In the year, he moved to the public service, becoming an adviser to the parliament, and then an adviser to the King of France Henry III. In the year, Henry III appointed Vieta to an important state post of Rectmeister, who gave the right to control the execution of orders in the country and suspend orders of large feudal lords.

In the year, at the insistence of the Gizov, Vietet was removed from his post and expelled from Paris. Having gained peace and rest, the scientist set his goal to create a comprehensive mathematics that allows you to solve any problems. He has set out the program of his research and listed treatises united by a common idea and written in the mathematical language of the new algebra, in the famous “Introduction to Analytical Art” published in the year.

He called the basis of his approach to species logistics, he clearly distinguished between numbers, quantities and relationships, collecting them into a certain system of "species". This system included, for example, variables, their roots, squares, cubes, square-quadrates, etc. For these types, it has given special symbols, indicating them with the in-capital letters of the Latin alphabet.

For unknown values, vowels were used, for variables - consonants. Worses showed that, operating with symbols, you can get a result that is applicable to any appropriate values, i.e. this laid the foundation for the radical fracture in the development of the algebra: it became possible to letter calculus. The famous theorem that establishes the connection of the coefficients of the polynomial with its roots was published in the year.

In the treatise "additions to geometry" he sought to create a certain geometric algebra, using geometric methods to solve the equations of the third and fourth degrees. Any equation of the third and fourth degree, claimed, can be solved by the geometric method of triseceration of the angle or building two average proportional ones. For centuries, mathematicians were interested in the issue of solving tr-angles, since it was dictated by the needs of astronomy, architecture, and geodesy.

He was the first to clearly formulate in verbal form the theorem of cosine, although the positions equivalent to it were episodically applied from the first century BC. A previously known case of solving a triangle on two data on the two data and one of the opposite corners received an exhaustive analysis from Vietet. Deep knowledge of the algebra gave Vieta great advantages.

Moreover, his interest in algebra was originally caused by applications to trigonometry and astronomy. Not only every new application of algebra gave impetus to new trigonometry studies, but also the resulting trigonometric results were a source of important successes of algebra. Vieteta, in particular, belongs to the conclusion of expressions for sinuses or chords and cosine multiple arcs.

In the memoirs of some court France, there is an indication that he was being married, that he had a daughter, the only heir to the estate by which Senor de la Bigothy was calling. In court news, Marquis Letual wrote: "He was more than sixty years old." Literature: Building D. Next, read:.