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Everything about Discrete calculus
Discrete (i.e., incremental) version of infinitesimal calculus
Discrete calculus or the calculus of discrete functions, is the mathematical study of incremental change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations. The word calculus comes from the Latin for "small pebble"; as such pebbles were used for calculation, the meaning of the word has evolved and today usually means a method of computation. Meanwhile, calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", is the study of continuous change. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Discrete calculusA 5-minute orientation
- Skim a recent paper: An A -$\Phi$ Formulation Solver in Electromagnetics Based on Discrete Exterior CalculusInfluential work since 2022
- Pick up a classic book: Introduction to probability modelsThe most-reprinted book on the subject
- Read the landmark paper: Discrete-Dipole Approximation For Scattering CalculationsCited 3,332 times
- Go sideways: Čech cohomologyA closely related topic
- Go sideways: Cup productA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Discrete-Dipole Approximation For Scattering Calculations
Initial value problems in discrete fractional calculus
Discrete fractional calculus with the nabla operator
Nabla discrete fractional calculus and nabla inequalities
The Laplace transform in discrete fractional calculus
Discrete calculus of variations
Gronwall’s inequality on discrete fractional calculus
A discrete operator calculus for finite difference approximations
🆕 Influential since 2022
An A -$\Phi$ Formulation Solver in Electromagnetics Based on Discrete Exterior Calculus
On finite-time stability of some COVID-19 models using fractional discrete calculus
On discrete tempered fractional calculus and its application
Discrete-time general fractional calculus
Discrete-Time Fractional Difference Calculus: Origins, Evolutions, and New Formalisms
📚 Books worth reading
Introduction to probability modelsSheldon M. Ross · 1972
Wavelets and other orthogonal systemsGilbert G. Walter, Xiaoping Shen · 2000
Discrete dynamical systems and difference equations with MathematicaM. R. S. Kulenović, Mustafa R.S. Kulenovic · 2002
Optimization in solving elliptic problemsE. G. Dʹi͡akonov, Eugene G. D'yakonov · 1995- 📕Linear Discrete-Time SystemsZoran M. Buchevats, Lyubomir T. Gruyitch · 2017
Isoperimetric inequalities in mathematical physicsGeorge Pólya, Gábor Szegő · 1951
Elementary Differential GeometryBarrett O'Neill · 1966
Discrete orthogonal polynomialsJ. Baik, T. Kriecherbauer · 2007
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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