Linked from
The 32 pages that link to Calculus, each with the reason it gives.
Isaac NewtonRelated: Newton developed a form of calculus to solve problems involving motion and changing quantities.
Real numberRelated: Calculus relies on real-valued limits, functions, and quantities.
CombinatoricsCompared with: Its central tools address continuous variation, unlike combinatorics’ discrete structures.
Differential formNarrower topic: Differential forms extend calculus to manifolds and higher-dimensional integration.
Variable (mathematics)Narrower topic: Calculus studies how variable quantities change and accumulate.
Intermediate value theoremNarrower topic: The theorem formalizes a value-taking intuition often used in elementary calculus.
AlgebraCompared with: Calculus builds on algebraic manipulation but studies changing quantities and continuous accumulation.
Analytic geometryRelated: Coordinate curves let calculus quantify slopes, areas, and motion.
Fundamental theorem of calculusNarrower topic: The theorem establishes the central relationship between calculus's two principal operations.
History of mathematicsNarrower topic: Its emergence altered mathematical analysis and the quantitative study of nature.
Philosophiæ Naturalis Principia MathematicaRelated: The Principia’s geometric demonstrations address problems that calculus also expresses through changing quantities.
Daniel BernoulliNarrower topic: Its methods supplied the language for Bernoulli’s mechanics and fluid equations.
Marginal costNarrower topic: The derivative of a differentiable total-cost function gives marginal cost.
Émilie du ChâteletNarrower topic: The mathematical methods behind Newton’s mechanics were central to her scientific education and exposition.
Euler's NumberNarrower topic: Calculus supplied the framework for characterizing e through growth and change.
Johann BernoulliNarrower topic: Johann helped develop and teach the methods that made calculus a working discipline.
Algebraic notationRelated: Compact symbolic conventions support the expression of derivatives and integrals.
NewtonianismRelated: Calculus provided powerful methods for expressing motion and changing forces.
Bhāskara IICompared with: Some passages resemble later ideas about instantaneous motion, but do not constitute modern calculus.
Madhava of SangamagramaRelated: Madhava’s series anticipated techniques later central to calculus, without establishing the same European framework.
Zeno's paradoxesRelated: Limits provide a precise way to handle quantities approached through infinitely many subdivisions.
History of trigonometryRelated: The rise of function-based trigonometry supplied essential tools for analyzing periodic change.
Bernoulli familyNarrower topic: Jacob and Johann Bernoulli helped develop and teach the new calculus.
Discrete mathematicsCompared with: Calculus focuses on continuous quantities, unlike the distinct objects central here.
Leibniz integral ruleNarrower topic: The rule extends the basic calculus connection between differentiation and integration.
Zeno of EleaRelated: Its methods give precise accounts of convergent infinite sums involved in several paradoxes.
John WallisNarrower topic: Wallis’s work on quadratures and infinite series supplied methods later incorporated into calculus.
Brook TaylorNarrower topic: Taylor’s methods grew from the calculus developed in the late seventeenth century.
History of classical mechanicsRelated: Calculus supplied tools for expressing changing position, velocity, and force in Newton’s theory.
Maria Gaetana AgnesiNarrower topic: Agnesi’s 1748 textbook presented differential and integral calculus in a systematic form.
Pizza theoremNarrower topic: Calculus provides a natural framework for proving the area identity.
Mathematical methods in physicsBroader topic: Differential and integral calculus express physical rates of change and conserved quantities.