| Name | motif |
|---|---|
| Single variable calculus | Mathematical study of continuous change of single variable functions wiki |
| Complex variable calculus | Analysis of complex functionals wiki |
| Calculus of variations | Differentiation of functionals wiki |
| Vector Calculus | Vector calculus, or vector analysis, is concerned with differentiation and integration of vector fields, primarily in 3-dimensional Euclidean space $\mathbb{R^3}$. wiki |
| Tensor calculus | In mathematics, tensor calculus, tensor analysis, or Ricci calculus is an extension of vector calculus to tensor fields (tensors that may vary over a manifold, e.g. in spacetime). wiki |
| Ito Calculus | Itô calculus, named after Kiyoshi Itô, extends the methods of calculus to stochastic processes such as Brownian motion. Wiki |
| Differential forms | Differential forms are an approach to multivariable calculus that is independent of coordinates. Differential forms provide a unified approach to define integrands over curves, surfaces, solids, and higher-dimensional manifolds. Wiki |
| Discrete 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. wiki |
| Heaviside's Operator Calculus | Operational calculus, also known as operational analysis, is a technique by which problems in analysis, in particular differential equations, are transformed into algebraic problems, usually the problem of solving a polynomial equation. wiki |
| Geometric calculus | In mathematics, geometric calculus extends the geometric algebra to include differentiation and integration. The formalism is powerful and can be shown to encompass other mathematical theories including differential geometry and differential forms wiki |
These are all the fields of calculus I've heard of, but are there any more which are significant? Please add a brief introductory description to the field when answering!