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1 de may. de 2024 · The calculus of variations may be said to begin with Newton's minimal resistance problem in 1687, followed by the brachistochrone curve problem raised by Johann Bernoulli (1696). It immediately occupied the attention of Jacob Bernoulli and the Marquis de l'Hôpital, but Leonhard Euler first elaborated the subject, beginning in 1733.
25 de abr. de 2024 · Johann Bernoulli was one of the pioneers in the field of calculus and helped apply the new tool to real problems. His life was one of the most controversial of any mathematician. He was a member of the world's most successful mathematical family, the Bernoullis.
Hace 3 días · The Euler–Lagrange equations can also be formulated in terms of the generalized momenta rather than generalized coordinates. Performing a Legendre transformation on the generalized coordinate Lagrangian L ( q , d q /d t , t ) obtains the generalized momenta Lagrangian L ′( p , d p /d t , t ) in terms of the original Lagrangian, as well the EL equations in terms of the generalized momenta.
Hace 1 día · Johann Carl Friedrich Gauss (German: Gauß [kaʁl ˈfʁiːdʁɪç ˈɡaʊs] ⓘ; Latin: Carolus Fridericus Gauss; 30 April 1777 – 23 February 1855) was a German mathematician, astronomer, geodesist, and physicist who contributed to many fields in mathematics and science.
- Mathematics and sciences
30 de abr. de 2024 · Euler, der den größten Teil seines Lebens in Sankt Petersburg und in Berlin verbrachte, war einer der bedeutendsten Mathematiker des 18. Jahrhunderts. Er gilt heute als einer der brillantesten und produktivsten Mathematiker aller Zeiten. Seine gesammelten Schriften (Opera omnia) umfassen bisher 76 Bände.
Hace 5 días · Leonhard Euler ( / ˈɔɪlər / OY-lər; [2] Almanca telaffuz: [ˈɔʏlɐ]; [a] 15 Nisan 1707 – 18 Eylül 1783), çizge teorisi çalışmasını kuran bir İsviçreli matematikçi, fizikçi, astronom, coğrafyacı, mantıkçı ve mühendisti.
17 de abr. de 2024 · Johann Bernoulli (born August 6 [July 27, Old Style], 1667, Basel, Switzerland—died January 1, 1748, Basel) was a major member of the Bernoulli family of Swiss mathematicians. He investigated the then new mathematical calculus, which he applied to the measurement of curves, to differential equations, and to mechanical problems.
