Everything about Calculus
Branch of mathematics
Calculus is the branch of mathematics that studies continuous change, and is 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 studies instantaneous rates of change and slopes of curves; integral calculus studies 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 well-defined mathematical limit. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: CalculusA 5-minute orientation
- Skim a recent paper: Applications of fractional calculus in computer vision: A surveyInfluential work since 2022
- Pick up a classic book: CalculusThe most-reprinted book on the subject
- Read the landmark paper: A logical calculus of the ideas immanent in nervous activityCited 14,343 times
- Go sideways: Leibniz's notationA closely related topic
- Go sideways: Differential calculusA closely related topic
📖 Definitions
Noun Calculation; computation.
Noun Any formal system in which symbolic expressions are manipulated according to fixed rules.
Noun Differential calculus and integral calculus considered as a single subject.
Noun A stony concretion that forms in a bodily organ.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
A logical calculus of the ideas immanent in nervous activity
A Theory of the Calculus of Voting
An Extended Privacy Calculus Model for E-Commerce Transactions
A calculus of mobile processes, I
A New Calculus for the Treatment of Optical SystemsI Description and Discussion of the Calculus
On conformable fractional calculus
A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
The concentration-compactness principle in the Calculus of Variations. The locally compact case, part 1.
🆕 Influential since 2022
Applications of fractional calculus in computer vision: A survey
Optical solitons in the Sasa�Satsuma model with multiplicative noise via Ito calculus
Artificial neural networks: a practical review of applications involving fractional calculus
The acceptance and usage of smart connected objects according to adoption stages: an enhanced technology acceptance model integrating the diffusion of innovation, uses and gratification and privacy calculus theories
A review on epidemic models in sight of fractional calculus
📚 Books worth reading
CalculusDeborah Hughes-Hallett, Andrew M. Gleason · 2004
A Course of Pure MathematicsG. H. Hardy, T. W. Körner · 1908
CalculusHoward Anton, Howard A. Anton · 1980
CalculusRon Larson · 1988
Calculus, Early TranscendentalsJames Stewart · 1991
Calculus Made EasySilvanus Phillips Thompson · 1914
CalculusJames Stewart · 1986
Calculus, Concepts and ContextJames Stewart · 1997
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Leibniz's notation dy dx d2y dx2 In calculus, Leibniz's notation, named in honor of the 17th-century German philosopher and mathematician Gottfried Wilhelm Leibniz, uses…
- Differential calculus In mathematics, differential calculus is a subfield of calculus that studies the rates at which quantities change. The primary objects of study in differential…
- History of calculus Calculus, originally called infinitesimal calculus, is a mathematical discipline focused on limits, continuity, derivatives, integrals, and infinite series…
- Mathematical analysis Mathematical analysis is the branch of mathematics that studies functions, spaces, and operators through methods of approximation and convergence. It grew…
- Notation for differentiation In differential calculus, there is no single standard notation for differentiation. Instead, several notations for the derivative of a function or a dependent…
- Glossary of calculus Most of the terms listed in Wikipedia glossaries are already defined and explained within Wikipedia itself. However, glossaries like this one are useful…
- Derivative In mathematics, the derivative is a fundamental tool that quantifies the sensitivity to change of a function's output with respect to its input. The derivative…
- Differential (mathematics) In mathematics, differential refers to several related notions derived from the early days of calculus, put on a rigorous footing, such as infinitesimal…