Q: What did infinitesimal calculus do?

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Infinitesimal calculus pretty much means non-rigorous calculus, i.e. calculus without the notion of limits to prove its validity. When Newton and Leibniz originally formulated calculus, they used derivatives and integrals in the same manner that they're still used today, but they provided no formalism as to how those techniques were mathematically valid, therefore causing quite a debate as to their worth. The infinitesimals themselves simply had to be accepted as valid, in and of themselves, for the theory to work.

Yes, of course; but it will only have zero velocity for one infinitesimal moment. Check your calculus text.

How do you use infinitesimal in a sentence? The infinitesimal atoms on the slide were almost impossible to see.

Gottfried Wilhelm Leibniz made significant contributions to mathematics, including the invention of calculus independently of Isaac Newton. He developed the concept of infinitesimal calculus and introduced notations such as d/dx for differentiation and ∫ for integration. Leibniz also formulated important ideas in discrete mathematics and made advancements in the field of binary arithmetic, which laid the foundation for modern computer science.

Calculus; by a long shot.

Related questions

In mathematics, he was the original discoverer of the infinitesimal calculus.

he was a mathematician and he invented infinitesimal calculus and the binary system

Infinitesimal calculus pretty much means non-rigorous calculus, i.e. calculus without the notion of limits to prove its validity. When Newton and Leibniz originally formulated calculus, they used derivatives and integrals in the same manner that they're still used today, but they provided no formalism as to how those techniques were mathematically valid, therefore causing quite a debate as to their worth. The infinitesimals themselves simply had to be accepted as valid, in and of themselves, for the theory to work.

To solve problems that involve infinitesimal quantities. Such problems are solving for the slope of or area under a curve.

Yes, infinitesimal angular momentum is a vector quantity. It has both magnitude and direction, representing the rotational motion of an object. In the context of calculus and physics, infinitesimal quantities are used to describe changes in vector quantities over infinitesimally small intervals.

Bartholomew Price has written: 'A treatise on the differential calculus, and its application to geometry' -- subject(s): Differential calculus 'A treatise on infinitesimal calculus' -- subject(s): Analytic Mechanics, Calculus, Calculus of variations, Differential equations, Energy transfer, Relativistic mechanics, Statics

Horace Lamb has written: 'Higher mechanics' 'Hydrodynamics' 'An elementary course of infinitesimal calculus'

Joseph Bayma has written: 'Elements of geometry for the use of beginners' -- subject(s): Geometry 'Elements of Infinitesimal Calculus ..'

Yes, of course; but it will only have zero velocity for one infinitesimal moment. Check your calculus text.

Three of Newton's accomplishments include coming up with infinitesimal calculus, gravity and discovered white light is made from the whole spectrum of colors.

J. Sousa Pinto has written: 'Infinitesimal methods of mathematical analysis' -- subject(s): Calculus, Nonstandard mathematical analysis, Schwartz distributions

How do you use infinitesimal in a sentence? The infinitesimal atoms on the slide were almost impossible to see.