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Integral calculus   /ˈɪntəgrəl kˈælkjələs/   Listen
noun
Calculus  n.  (pl. calculi)  
1.
(Med.) Any solid concretion, formed in any part of the body, but most frequent in the organs that act as reservoirs, and in the passages connected with them; as, biliary calculi; urinary calculi, etc.
2.
(Math.) A method of computation; any process of reasoning by the use of symbols; any branch of mathematics that may involve calculation.
Barycentric calculus, a method of treating geometry by defining a point as the center of gravity of certain other points to which coefficients or weights are ascribed.
Calculus of functions, that branch of mathematics which treats of the forms of functions that shall satisfy given conditions.
Calculus of operations, that branch of mathematical logic that treats of all operations that satisfy given conditions.
Calculus of probabilities, the science that treats of the computation of the probabilities of events, or the application of numbers to chance.
Calculus of variations, a branch of mathematics in which the laws of dependence which bind the variable quantities together are themselves subject to change.
Differential calculus, a method of investigating mathematical questions by using the ratio of certain indefinitely small quantities called differentials. The problems are primarily of this form: to find how the change in some variable quantity alters at each instant the value of a quantity dependent upon it.
Exponential calculus, that part of algebra which treats of exponents.
Imaginary calculus, a method of investigating the relations of real or imaginary quantities by the use of the imaginary symbols and quantities of algebra.
Integral calculus, a method which in the reverse of the differential, the primary object of which is to learn from the known ratio of the indefinitely small changes of two or more magnitudes, the relation of the magnitudes themselves, or, in other words, from having the differential of an algebraic expression to find the expression itself.



adjective
Integral  adj.  
1.
Lacking nothing of completeness; complete; perfect; uninjured; whole; entire. "A local motion keepeth bodies integral."
2.
Essential to completeness; constituent, as a part; pertaining to, or serving to form, an integer; integrant. "Ceasing to do evil, and doing good, are the two great integral parts that complete this duty."
3.
(Math.)
(a)
Of, pertaining to, or being, a whole number or undivided quantity; not fractional.
(b)
Pertaining to, or proceeding by, integration; as, the integral calculus.
Integral calculus. See under Calculus.






Collaborative International Dictionary of English 0.48








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"Integral calculus" Quotes from Famous Books



... in his manners, simple in his style, simple in his thoughts. No waters in him turbid with new crystalizations; everywhere the eye can see to the bottom. No music in him dark with Cassandra meanings. Fox, indeed, disturb decent gentlemen by 'allusions to all the sciences, from the integral calculus and metaphysics to navigation!' Fox would have seen you hanged first. Burke, on the other hand, did all that, and other wickedness besides, which fills an 8vo page in Schlosser; and Schlosser crowns his enormities by charging him, the said Burke (p. 99), with ...
— The Notebook of an English Opium-Eater • Thomas de Quincey

... to hide his new phase of trouble from the chattering throng of people who were curious to know about them. To know? As if they could know! They might better sit down to gossip over the secrets of the differential and the integral calculus. ...
— His Sombre Rivals • E. P. Roe

... possibilities. I was enamoured of mathematics and physics: I went far enough in the latter to be appointed undergraduate assistant in the college laboratory. I had learned, by my junior year, exploring the charms of integral calculus, that there is no imaginable mental felicity more serenely pure than suspended happy absorption in a mathematical problem. Of course I attained no higher than the dregs of the subject; on that grovelling level I would still (in Billy Sunday's violent trope) have had to climb a tree ...
— Plum Pudding - Of Divers Ingredients, Discreetly Blended & Seasoned • Christopher Morley

... logarithmic theorem and series, converging and diverging. I got Todhunter's larger 'Plane Trigonometry,' and read it, with the theorems contained in it; then his 'Spherical Trigonometry;' his 'Analytical Geometry, of Two Dimensions,' and 'Conics.' I next obtained De Morgan's 'Differential and Integral Calculus,' then Woolhouse's, and lastly, Todhunter's. I found this department of mathematics difficult and perplexing to the last degree; but I mastered it sufficiently to turn it to some account. This last ...
— Men of Invention and Industry • Samuel Smiles

... philosopher, b. at Woolsthorpe, Lincolnshire, the s. of a small landed proprietor, and ed. at the Grammar School of Grantham and at Trinity Coll., Camb. By propounding the binomial theorem, the differential calculus, and the integral calculus, he began in 1665 the wonderful series of discoveries in pure mathematics, optics, and physics, which place him in the first rank of the philosophers of all time. He was elected Lucasian Prof. of Mathematics at Camb. ...
— A Short Biographical Dictionary of English Literature • John W. Cousin



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