영어에서 Calculus of variations 을 사용하는 예와 한국어로 번역
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Calculus of variations.
The second main area of his work was the calculus of variations.
Calculus of variations or applications of elliptic functions.
He wrote only one book An introduction to the calculus of variations(1950).
The calculus of variations and dynamics; and the operational calculus. .
Mayer worked on differential equations, the calculus of variations and mechanics.
The calculus of variations is another area in which Euler made fundamental discoveries.
He also gave a proof which was not based on using the calculus of variations.
He worked on the calculus of variations and was much influenced by both Hilbert and Klein.
Algebraic number fields by Emmy Noether; and calculus of variations by Courant.
Before leaving Lectures on the calculus of variations and optimal control theory let us note that Hestenes gives this assessment.
He was awarded a Ph.D. by the University of Chicago in 1947 for a thesis on the calculus of variations.
There he taught courses on advanced algebra, the calculus of variations, mechanics, Fourier series, and synthetic geometry.
He added important results to the relationship between first order partial differential equations and the calculus of variations.
Two further papers by him on the calculus of variations appeared in 1904, both in the Transactions of the American Mathematical Society.
However mathematics washis real love and, in 1898, he began his doctoral studies working on the calculus of variations.
His text Lectures on the Calculus of Variations published by the University of Chicago Press in 1904, became a classic in its field and was republished in 1961.
Infinitary analysis including its emerging branches, differential equations and the calculus of variations; and rational mechanics.
His interest in the calculus of variations came through two sources, firstly from lecture notes of Weierstrass 's 1879 course, of which he had a copy, and secondly from the inspiring lectures by Bolza which Bliss attended.
His steady stream of publications is testimonial to his authority in the fields of Riemannian geometry and the calculus of variations.
This strengthen his interests in differential equations, the calculus of variations, and functions of a real variable which he would work on for the rest of his life.
I started out my mathematics career by working on Palais' modern formulation of a very useful classical theory, the calculus of variations.
Although Weierstrass had supplied the missing proofs using the calculus of variations, this did not satisfy Blaschke who gave proofs in the style of Steiner in Kreis und Kugel.
His initial mathematical interests were in the theory of real functions which he was taught by Carathéodory who also taught him the calculus of variations.
Carathéodory wrote many fine books including Lectures on Real Functions(1918),Conformal representation(1932), Calculus of Variations and Partial Differential Equations(1935), Geometric Optics(1937), Real functions Vol.
She had not derived her hypothesis from principles of physics, nor could she have done so at the time because she had not had training in analysis and the calculus of variations.
Thereafter he published little, although he did publish two valuable textbooks, Introduction to dynamics in 1953 and Calculus of variations in 1962, until he published a monumental 650 page work Treatise on analytical dynamics in 1965.
Hilbert contributed to many branches of mathematics, including invariants, algebraic number fields, functional analysis, integral equations,mathematical physics, and the calculus of variations.
His interests and principal achievements were in the fields of partial and ordinarydifferential equations, calculus of variations, ergodic theory, topological dynamics, integral equations, differential geometry, complex function theory and functional analysis.
In addition to the fellowship of the RoyalSociety he served on its Council in 1874, the same year in which he was awarded the Adams Prize for his work Researches on the calculus of variations.