Mga halimbawa ng paggamit ng Theory of equations sa Ingles at ang kanilang mga pagsasalin sa Tagalog
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Hudde worked on maxima and minima and the theory of equations.
This theory of equations in total differentials is undoubtedly Pfaff's most significant contribution.
Viète made many improvements in the theory of equations.
He began to study the Galois theory of equations and from there he was led to study compostion series of groups.
Made myself acquainted with newer works,particularly in the theory of equations.
These and further papers published by Bézout in the theory of equations were gathered together in Théorie générale des équations algébraiques which was published in 1779.
However he made many contributions to number theory and to the theory of equations.
From its true emergence,algebra can be seen as a theory of equations solved by means of radicals, and of algebraic calculations on related expressions….
In the field of mathematics he worked on probability,recurring decimals and the theory of equations.
Galois sent Cauchy further work on the theory of equations, but then learned from Bulletin de Férussac of a posthumous article by Abel which overlapped with a part of his work.
We shall comment further below on this important work,covering topics in the theory of equations, number theory and geometry.
In his final year of study he wrote a paper on the theory of equations and Bézout 's theorem, and this was of such quality that he was allowed to graduate in 1800 without taking the final examination.
He introduced a simplified notation for algebra andhis fundamental research on the theory of equations was far ahead of its time.
His first paper on the theory of equations Sur plusieurs classes d'équations de tous les degrés qui admettent une solution algébrique examined how a single equation in a single unknown could be attacked by writing it as two equations in two unknowns.
Lie had started examining partial differential equations, hoping that he could find a theory which was analogous to the Galois theory of equations.
The book was the Second Part of Arithmetic, The Grounde of Artes being the first,covering the extraction of roots, the theory of equations and arithmetic with surds.
A little-known consequence of these disputes is that Liouville made his famous announcement of Evariste Galois 's important work on the theory of equations in response to an attack by Libri in 1843.
Before looking at his main work on the history of mathematics,let us first note that he did write some textbooks which were not historical texts such as An introduction to the modern theory of equations(1904) and Elementary algebra: First year course(1915).
His contributions to the theory of Diophantine equations are discussed in.
When he arrived there Hilbert was completing his theory of integral equations.
Lopatynsky's contributions to the theory of differential equations are particularly important.
Bergman used the theory of integral equations as developed by Schmidt and Hilbert.
The theory of differential equations is the most important discipline in modern mathematics.
In particular he worked on the theory of linear differential equations, the theory of probability(see) and non-euclidean geometry.
Results from his dissertation appeared in the book Stability theory of differential equations which he published in 1953.
By 1935 Sobolev was head of the Department of the Theory of Differential Equations at the Institute.
He extended Gauss 's work on hypergeometric series,giving developments that are useful in the theory of differential equations.
In the 1950s and 1960s,Lax laid the foundations for the modern theory of nonlinear equations of this type(hyperbolic systems).
In fact Khayyam gives an interesting historical account in which he claims that the Greeks had left nothing on the theory of cubic equations.
And The notion of the Green's function in the theory of integro-differential equations.