What is the origin of the word calculus?
The word calculus originates from the Latin term for a small pebble, a stone once used by ancient Romans to tally votes and perform arithmetic on an abacus.
Common questions about Calculus
Short answers, pulled from the story.
Who invented the formal discipline of calculus?
The formal birth of calculus occurred in the late 17th century through the independent work of two giants: Isaac Newton and Gottfried Wilhelm Leibniz.
When did the controversy between Newton and Leibniz begin?
The controversy erupted after Newton published his findings in the Principia Mathematica in 1687 and Leibniz published his Nova Methodus pro Maximis et Minimis first, creating a schism that divided English-speaking mathematicians from continental European mathematicians for decades.
What is the Fundamental Theorem of Calculus?
The Fundamental Theorem of Calculus states that if a function is continuous on an interval, the integral of its derivative over that interval equals the change in the function's value, connecting differentiation and integration as inverse operations.
When was non-standard analysis developed?
In the 1960s, Abraham Robinson developed non-standard analysis, using technical machinery from mathematical logic to augment the real number system with infinitesimal and infinite numbers, known as hyperreal numbers.