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In numerical analysis, the Runge–Kutta methods (English: / ˈ r ʊ ŋ ə ˈ k ʊ t ɑː / ⓘ RUUNG-ə-KUUT-tah [1]) are a family of implicit and explicit iterative methods, which include the Euler method, used in temporal discretization for the approximate solutions of simultaneous nonlinear equations. [2]
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Mathematical artists Artist Dates Artform Contribution to mathematical art Calatrava, Santiago: 1951– Architecture: Mathematically-based architecture [3] [8]: Della Francesca, Piero
The nines' complement math breakthrough eliminated the significant mechanical complexity created when "borrowing" during subtraction. This drum was the key to miniaturizing the Curta. His work on the pocket calculator stopped in 1938 when the Nazis forced him and his company to concentrate on manufacturing precision instruments for the German army.
It contains many important results in plane and solid geometry, algebra (books II and V), and number theory (book VII, VIII, and IX). [52] More than any specific result in the publication, it seems that the major achievement of this publication is the promotion of an axiomatic approach as a means for proving results.
Kowalewski is known for the introduction of the matrices notation in 1909 with his work titled Determinantentheorie. [1] He researched theories of determinants, transformation groups, natural and differential geometry, and approximation and interpolation, publishing over 100 works, including Vorlesungen über natürliche Geometrie, the German translation of Ernesto Cesàro's work, Das Integral ...
Also called infinitesimal calculus A foundation of calculus, first developed in the 17th century, that makes use of infinitesimal numbers. Calculus of moving surfaces an extension of the theory of tensor calculus to include deforming manifolds. Calculus of variations the field dedicated to maximizing or minimizing functionals. It used to be called functional calculus. Catastrophe theory a ...
Marx left over 1000 manuscript pages [3] of mathematical notes on his attempts at discovering the foundations of calculus. The majority of these manuscript pages have been collected into four papers, along with drafts and supplementary notes in the published editions of his collected works. [4]