Examples of using Theory of surfaces in English and their translations into Tagalog
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On the theory of surfaces with a differential parameter.
Is a guide to differential geometry,illustrating the topics with the theory of surfaces.
The theory of surfaces was the most important topic in differential geometry and.
He wrote a major text Differential geometry: Theory of surfaces which, S Funabashi, writes.
Darboux was not the only leading mathematician in Weingarten's time who was also interested in the theory of surfaces.
His study of the fundamental curves of the system led him to investigate the theory of surfaces, a topic on which he collaborated with Enriques.
Famous investigations on the theory of surfaces of constant negative curvature have been carried out around the turn of the century by F Klein and H Poincaré in connection with complex function theory.
They give applications to geometry including the theory of surfaces and groups of motions;
Weingarten's work on the infinitesimal deformation of surfaces, undertaken around 1886,was praised by Darboux who included it in his four volume treatise on the theory of surfaces.
Riemann proposed the generalisation of the theory of surfaces as developed by Gauss, to spaces of any order, and introduced certain fundamental ideas in this general theory. .
Euler made substantial contributions to differential geometry,investigating the theory of surfaces and curvature of surfaces. .
They cover all the branches of modern geometry,from the classical theory of surfaces to the notion of non-holonomic spaces which he discovered, creating efficient methods and solving fundamental problems.
Despite having to work as a teacher at various schools while he undertook research,his work on the theory of surfaces progressed remarkably well.
Influenced by the work of Jacobi, Dirichlet and Steiner,Joachimsthal wrote on the theory of surfaces where he made substantial contributions, particularly to the problem of normals to conic sections and second degree surfaces. .
Certainly, therefore it was an exciting period during which Saks embarked on a research career andhe was awarded his doctorate in 1922 for the thesis A contribution to the theory of surfaces and plane domains.
The great mathematician, our dear colleague Zoárd Geöcze,who used to inform us here of his sensational results on the theory of surfaces, died on 26th of last month of a disease contracted at the front.
In[Algebraic Surfaces] I tried my best to present the underlying ideas of the ingenious geometric methods and proofs with which the Italian geometers were handling these deeper aspects of the whole theory of surfaces….
Because of the depth of this theory, the importance of its applications and the breadth of its generality,Aleksandrov comes second only to Gauss in the history of the development of the theory of surfaces.
In 1864 he received a doctorate from the University of Halle for the same work which had won him the prize from the University of Berlin, buthe had been far from idle over the years for he had published other important work on the theory of surfaces.
He also made major contributions in other areas of mathematics, including topology, potential theory, the Dirichlet problem, the calculus of variations,set theory, the theory of surface area and dimension theory. .
After obtaining his doctorate in 1923 with a thesis The theory of surface measure, he taught both in a secondary school and worked for an insurance firm.
Besides this he has made several important contributions to the theory of algebraic surfaces….
Enriques struggled with the concepts as he tried to understand the theory of algebraic surfaces, making mistakes in his attempts.
Plateau published a famous memoir on the topic in 1866 andin the same year Weierstrass established a bridge between the theory of minimal surfaces and the theory of analytic functions.
He began to write on mechanics and he also made significant contributions to algebraic geometry,particularly the theory of algebraic surfaces.
Dedekind, in a joint paper with Heinrich Weber published in 1882,applies his theory of ideals to the theory of Riemann surfaces.
Also before 1920 Alexander had made fundamental contributions to the theory of algebraic surfaces and to the study of Cremona transformations.
The second is to give an account of the theory of Riemann surfaces and analytic functions on Riemann surfaces. .
He wrote articles on such diverse topics as twisted cubics,developable surfaces, the theory of conics, the theory of plane curves, third- and fourth-degree surfaces, statics and projective geometry.
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.