infinitesimal calculus oor Nederlands
infinitesimal calculus
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(calculus) Differential calculus and integral calculus considered together as a single subject.
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infinitesimaalrekening
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Differential calculus and integral calculus considered together as a single subject
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Given the name infinitesimal calculus, it allowed for precise analysis of functions within continuous domains.
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Nothing about time travel here, just stuff about infinitesimal calculus—never heard of it, how about you?
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"The emergence of a notion of function as an individualized mathematical entity can be traced to the beginnings of infinitesimal calculus".
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In 1925 Peano switched Chairs unofficially from Infinitesimal Calculus to Complementary Mathematics, a field which better suited his current style of mathematics.
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Analyse des Infiniment Petits pour l'Intelligence des Lignes Courbes (literal translation: Analysis of the infinitely small to understand curves), 1696, is the first textbook published on the infinitesimal calculus of Leibniz.
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However, by the end of the 18th century, most of the algebraic character of coordinate geometry was subsumed by the calculus of infinitesimals of Lagrange and Euler.
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251) is Charles Hayes, Treatise on Fluxions (Londen, 1704), in which Newton’s infinitesimal calculus is explained.
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This played a key role in the emergence of infinitesimal calculus in the 17th century.
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Except for l'Hôpital, Varignon was the earliest and strongest French advocate of infinitesimal calculus, and exposed the errors in Michel Rolle's critique thereof.
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Certainly such a mind may have complex ideas—it may be thinking, for example, of the infinitesimal calculus—, but the mind itself is a remarkably simple entity.
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But it is not only in the transition from the liquid to the gaseous state and vice versa that processes occur which are completely analogous to those of the infinitesimal calculus.
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But it is not only in a transition from the liquid to the gaseous state and vice versa that processes occur which are completely analogous to those of the infinitesimal calculus.
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Of all theoretical advances there is surely none that ranks so high as a triumph of the human mind as the discovery of the infinitesimal calculus in the last half of the seventeenth century.
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At the end of the 17th century, Gottfried Wilhelm Leibniz (1646-1716) and Isaac Newton (1643-1727), independently one from the other, invented a brilliant mathematical tool: infinitesimal calculus or differential and integral calculus.
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Elementary mathematics, the mathematics of constant quantities, moves, by and large at least, within the confines of formal logic; the mathematics of variables, the most important part of which is the infinitesimal calculus, is essentially nothing but the application of dialectics to mathematical relations.
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Elementary mathematics, the mathematics of constant quantities, moves within the confines of formal logic, at any rate on the whole; the mathematics of variables, whose most important part is the infinitesimal calculus, is in essence nothing other than the application of dialectics to mathematical relations.
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The bare knowledge that the barley plant and the infinitesimal calculus are both governed by negation of negation does not enable me either to grow barley successfully or to differentiate and integrate; just as little as the bare knowledge of the laws of the determination of sound by the dimensions of the strings enables me to play the violin.
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The use of infinitesimals to compute rates of change was developed significantly by Bhāskara II (1114–1185); indeed, it has been argued that many of the key notions of differential calculus can be found in his work, such as "Rolle's theorem".
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However, by the end of the 18th century, most of the algebraic character of coordinate geometry was subsumed by the calculus of infinitesimals of Lagrange and Euler. 19th and early 20th centuryEdit It took the simultaneous 19th century developments of non-Euclidean geometry and Abelian integrals in order to bring the old algebraic ideas back into the geometrical fold.
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19 sinne gevind in 14 ms. Hulle kom uit baie bronne en word nie nagegaan nie.