The calculus of moving surfaces (CMS) is an extension of the classical tensor calculus to deforming manifolds. Central to the CMS is the tensorial time...

professor of Applied Mathematics at Drexel University working on problems in moving surfaces in applied mathematics (particularly calculus of variations)...

}\left(t\right)} The calculus of moving surfaces provides analogous formulas for volume integrals over Euclidean domains, and surface integrals over differential...

used to be called the absolute differential calculus (the foundation of tensor calculus), tensor calculus or tensor analysis developed by Gregorio Ricci-Curbastro...

surface integrals in higher dimensions and on manifolds. One such generalization offered by the calculus of moving surfaces is the time evolution of integrals...

infinitesimal numbers. Calculus of moving surfaces an extension of the theory of tensor calculus to include deforming manifolds. Calculus of variations the field...

Grinfeld, P. (2014). Introduction to Tensor Analysis and the Calculus of Moving Surfaces. Springer. ISBN 978-1-4614-7866-9. Rovelli, Carlo (2021). General...

Tensor Analysis and the Calculus of Moving Surfaces. Springer. ISBN 978-1-4614-7866-9. "Gauss–Bonnet theorem", Encyclopedia of Mathematics, EMS Press,...

function of the Riemann tensor". Canonical coordinates Hamilton–Jacobi–Einstein equation Peres metric Shape dynamics Calculus of moving surfaces "ADM-50:...

differential calculus is a subfield of calculus that studies the rates at which quantities change. It is one of the two traditional divisions of calculus, the...

(help) P.Grinfeld (2014). Introduction to Tensor Analysis and the Calculus of Moving Surfaces. Springer. ISBN 978-1-4614-7866-9. "Several Tensor Equations...

(Volume 3), (Volume 4). P.Grinfeld (2014). Introduction to Tensor Analysis and the Calculus of Moving Surfaces. Springer. ISBN 978-1-4614-7866-9....

calculus, the wedge product and the calculus of differential forms makes sense in arbitrary dimension and on more general manifolds (curves, surfaces...

subvolumes have surfaces that were not part of the original volume's surface, because these surfaces are just partitions between two of the subvolumes...

The ZX-calculus is a rigorous graphical language for reasoning about linear maps between qubits, which are represented as string diagrams called ZX-diagrams...

geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It uses the techniques of single variable calculus, vector calculus, linear...

numbers of terms together. You can help enhance this page by adding new terms or writing definitions for existing ones. This glossary of calculus is a list...

Vector calculus or vector analysis is a branch of mathematics concerned with the differentiation and integration of vector fields, primarily in three-dimensional...

Fractional calculus is a branch of mathematical analysis that studies the several different possibilities of defining real number powers or complex number...

geometry of surfaces deals with the differential geometry of smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have...

surface" is used because these surfaces originally arose as surfaces that minimized total surface area subject to some constraint. Physical models of...

application of hyperreal numbers to the foundations of calculus is called nonstandard analysis. This provides a way to define the basic concepts of calculus such...

Types of surfaces Minimal surface Ruled surface Conical surface Developable surface Nadirashvili surface See also multivariable calculus, list of multivariable...

force moving along a path, and under this interpretation conservation of energy is exhibited as a special case of the fundamental theorem of calculus. Vector...

theorem of calculus is the special case where the manifold is a line segment, Green’s theorem and Stokes' theorem are the cases of a surface in R 2 {\displaystyle...

of the study and the manipulation of formulas. Calculus, consisting of the two subfields differential calculus and integral calculus, is the study of...

set in E2. This elaboration allows calculus to be applied to surfaces to prove many results. Two smooth surfaces are diffeomorphic if and only if they...

detect calculus deposits and root surface irregularities. These kinds of strokes do require a high degree of precision for the accurate detection of unseen...

In vector calculus, divergence is a vector operator that operates on a vector field, producing a scalar field giving the rate that the vector field alters...

central operator, originally due to Jacques Hadamard, in The Calculus of Moving Surfaces. Note that, in compressible models, the combination ρ 2 e ρ {\displaystyle...