Примери за използване на Theory of elliptic на Английски и техните преводи на Български
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The theory of elliptic and Jacobi functions….
The third topic to which Eisenstein made a major contribution was the theory of elliptic functions.
This was the first intimations of the theory of elliptic functions, which was one of his other great developments.
One of them presented the basic theory of functions;in it Vályi followed his old master Weierstrass and included the theory of elliptic functions.
Jacobi's fundamental work on the theory of elliptic functions, which had so impressed Legendre, was based on four theta functions.
His paper Fundamenta nova theoria functionum ellipticarum published in 1829, together with its later supplements,made fundamental contributions to this theory of elliptic functions.
Galois, after reading Abel and Jacobi's work,worked on the theory of elliptic functions and abelian integrals.
He radically transformed the theory of elliptic integrals to the theory of elliptic functions by using their inverse functions….
The problem with working on Fermat is that you could spend years getting nothing so when I went to Cambridge my advisor John Coates was working on Iwasawa theory of elliptic curves and I started working with him….
He put this to one side to compete with Jacobi in the theory of elliptic functions, quickly writing several papers on the topic.
Klein's principal works were devoted to non-Euclidean geometry, the theory of continuous groups,the theory of algebraic equations, the theory of elliptic functions, and the theory of automorphic functions.
The work of Abel in this period related mainly to the theory of elliptic functions, which he significantly advanced simultaneously with Carl Gustav Jacobi.
The topics of his lectures included: the application of Fourier series and integrals to mathematical physics(1856/57), an introduction to the theory of analytic functions(where he set out results he had obtained in 1841 butnever published), the theory of elliptic functions(his main research topic), and applications to problems in geometry and mechanics.
One of Jacobi's greatest accomplishments was his theory of elliptic functions and their relation to the elliptic theta function.
Developed his own independent analytic theory of elliptic functions, based on the technique of summing certain conditionally convergent series.
Number theory with, for example,Recherches d'analyse indéterminée in 1785; and the theory of elliptic functions with papers on integrations by elliptic arcs in 1786.
In fact he attended Weierstrass 's lectures on the theory of elliptic functions(which was Weierstrass 's main research topic) and many years later published his account of these lectures.
In fact he attended Weierstrass 's lectures on the theory of elliptic functions(which was Weierstrass 's main research topic) and many years later published his account of these lectures.
Brioschi also obtained new results in the theory of transformation of elliptic and abelian functions.
He also published papers on the theory of functions, concentrating on elliptic functions.
His mathematical work included algebra, algebraic geometry,synthetic geometry, elliptic functions and the theory of convergence.
He made substantial contributions to the analytical theory of numbers and worked on elliptic functions, continued fractions, and infinite series.
In particular he applied his theory of complex integers to the integration of elliptic differentials.
We have already indicated that Kronecker's primary contributions were in the theory of equations and higher algebra, with his major contributions in elliptic functions, the theory of algebraic equations, and the theory of algebraic numbers.
Most of them concern K-theory, index theory of operators and Lefschetz fixed point theory for elliptic complexes.
He owed some of his greatest successes to his development of Riemann 's ideas andto the intimate alliance he forged between the later and the conception of invariant theory, of number theory and algebra, of group theory, and of multidimensional geometry and the theory of differential equations, especially in his own fields, elliptic modular functions and automorphic functions.
Coates's insights into the Iwasawa theory of the symmetric square of an elliptic curve were instrumental in the recent proof by Wiles of the Shimura- Taniyama conjecture for semistable elliptic curves over Q.
Lions was one of several students who Schwartz directed to take this new approach andhis doctoral thesis developed what has become the standard variational theory of linear elliptic and evolution equations.
His 1977 article on the conjecture of Birch and Swinnerton-Dyer, written jointly with his research student Andrew Wiles,was a landmark contribution to number theory which introduced a panoply of new methods into the field of elliptic curves.
He owed some of his greatest successes to his development of Riemann's ideas and to the intimate alliance he forged between the later andthe conception of invariant theory, of number theory and algebra, of group theory, and of multidimensional geometry and the theory of differential equations, especially in his own fields, elliptic modular functions and automorphic functions.