Mga halimbawa ng paggamit ng Theory of algebraic sa Ingles at ang kanilang mga pagsasalin sa Tagalog
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In 1952 Iwasawa published Theory of algebraic functions in Japanese.
Besides this he has made several important contributions to the theory of algebraic surfaces….
From the standpoint of the theory of algebraic functions which are defined by Riemann surfaces, it is natural to limit consideration to the unramified case….
A well-written text on the theory of algebraic curves….
After the summer vacation hewent to Rome and then on to Göttingen where he produced his first substantial piece of mathematical research on the theory of algebraic curves.
He also wrote a book Elements of the theory of algebraic curves(1968).
Hunyadi submitted his doctoral thesis on the theory of algebraic curves to the University of Göttingen in 1864 and in the following year, after eight years away from his native Hungary, he returned to Pest.
This was a period when Castelnuovo produced research of the highest quality on the theory of algebraic curves.
Zariski reviewing Introduction to the theory of algebraic functions of one variable writes.
In 1894 he wrote, again in collaboration with Max Noether,an extremely important survey of the development of the theory of algebraic functions.
Also before 1920 Alexander had made fundamental contributions to the theory of algebraic surfaces and to the study of Cremona transformations.
He began to write on mechanics and he also made significant contributions to algebraic geometry,particularly the theory of algebraic surfaces.
In his work in group theory, Frobenius combined results from the theory of algebraic equations, geometry, and number theory, which led him to the study of abstract groups.
Volume 4 considers higher dimensions, mainly dimensions four and five, while the final two volumes cover the analytical principles of the theory of curves and the theory of algebraic surfaces and higher loci.
Enriques struggled with the concepts as he tried to understand the theory of algebraic surfaces, making mistakes in his attempts.
These include: Problems and methods of mathematical analysis in the work of Gianfrancesco Malfatti, Contributions of Gianfrancesco Malfatti to combinatorial analysis and to the theory of finite difference equations, The work of Malfatti in the realm of mechanics, The geometrical research of Gianfrancesco Malfatti,Gianfrancesco Malfatti and the theory of algebraic equations, and Gianfrancesco Malfatti and the support problem.
Smirnov was a very active member of this circle,for example lecturing on the theory of algebraic equations, particularly the work of Goursat and Appell.
He earned his dominance by recasting whole theories of algebraic systems and by insisting on the module theoretic viewpoint in their study.
It became the framework of algebraic number theory.
His work also makes considerable use of the algebraic theory of fields.
This was the time when Brauer made his fundamental contribution to the algebraic theory of simple algebras.
Together with Jacques Tits,Bruhat developed the theory of simple algebraic groups over local fields.
At this time Tokyo University had become a centre for the study of algebraic number theory as a result of Teiji Takagi 's remarkable contributions.
The passage of time since Macaulay published The algebraic theory of modular systems in 1916 has shown us what a remarkable work this is in the development of modern mathematics.
Brashman was particularly interested in mechanics but his interests were wide ranging and, in addition to courses on mechanical engineering and hydraulics,he taught his students the theory of integration of algebraic functions and the calculus of probability.
He divided his course into two parts,the first part being a general overview of mathematics while the second part was on the theory of plane algebraic curves.
The approach is therefore very general, and the treatment incorporates most of the new ideas andmethods which have been introduced into the purely algebraic theory of function fields since the appearance of the classical treatise of Hensel- Landsberg.
They published a number of notes containing their results in this area buta detailed account of the theory of reductive algebraic groups over local fields appeared in their joint 250 page paper Groupes réductifs sur un corps local published in 1972.
His research on the theory of real algebraic varieties, Riemannian geometry, parabolic and elliptic equations was, however, extremely deep and significant in the development of all these topics.