infinitesimalkalkyl

Also known as differential and integral calculus, infinitesimal calculus

Calculus is the mathematical study of continuous change, and the principal precursor of modern mathematical analysis. Originally called infinitesimal calculus or the calculus of infinitesimals, it has two major branches, differential calculus and integral calculus. Differential calculus analyses instantaneous rates of change and the slopes of curves; integral calculus analyses accumulation of quantities and areas under or between curves. These two branches are related to each other by the fundamental theorem of calculus. Calculus uses convergence of infinite sequences and infinite series to a

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Calculus is the mathematical study of continuous change, with two main branches: differential calculus, which analyzes how things change at any given moment, and integral calculus, which analyzes how quantities accumulate over time. It matters because these tools allow mathematicians and scientists to understand and predict how systems change and grow, from the motion of objects to the spread of diseases.

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Wikidata facts

Instance of: branch of mathematics
Subclass of: mathematical analysis
Has part: integral calculus
Based on: Cavalieri's principle

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Stack Exchange tag: matheducators.stackexchange.com/tags/calculus
on focus list of Wikimedia project: Wikipedia:Vital articles/Level/4
history of topic: history of calculus
Commons category: Calculus
topic's main category: Category:Calculus
discoverer or inventor: Gottfried Wilhelm Leibniz
social media followers: 78572
maintained by WikiProject: WikiProject Mathematics
topic has template: Template:Calculus
theorized by: Isaac Newton

Sources (3)

via Wikidata · CC0

Article · Svenska

Infinitesimalkalkyl, från nylatinets infinitesimus, från infinit, med betydelsen oändlig, är den del av matematiken som behandlar gränsvärden, derivator och integraler. Namnet infinitesimalkalkyl syftar på de obegränsat (infinit) små tal som används. Termen inbegriper differentialkalkyl och integralkalkyl. Enkelt uttryckt kan man säga att en infinitesimalkalkyl inbegriper beräknandet av oändligt små tal samt oändligt stora tal. Man undersöker matematiska förhållandens förändringar när en variabel närmar sig en gräns. Kalkylen är en del av en analys som i där huvudsakligen funktioner undersöks. Funktionerna uttrycks med hjälp av differential- och integralkalkyler betraktade i infinitesimala sektioner.

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