The aim of this work is to introduce differential forms on Euclidean space. The theory of differential forms provides a way of abstracting integration by formalising differentials over which an integral can be taken. The work builds towards Stokes’ Theorem for which a proof is given. Finally, using Stokes’ Theorem, three famous integral theorems from vector analysis are derived
International audienceWe establish the formula for the variation of integrals of differential forms ...
1.1. The Stokes Theorem. Let M be a C ∞ manifold of dimension m. Let U ⊆ M be an open subset of M. W...
International audienceIn this work we compute the Stokes matrices of the ordinary differential equat...
The aim of this work is to introduce differential forms on Euclidean space. The theory of differenti...
The generalization of the n-dimensional cube, an n-dimensional chain, the exterior derivative and th...
Includes bibliographical references (leave 80)The intent of this thesis is to expose the reader to S...
In the chapter one of this text we give an introduction to, and discuss the main integral theorems, ...
A pedagogical application-oriented introduction to the calculus of exterior differential forms on d...
Abstract. Using only fairly simple and elementary considera-tions- essentially from first year under...
In this paper we use a calculus of differential forms which is defined using an axiomatic approach. ...
In this paper we use a calculus of differential forms which is defined using an axiomatic approach. ...
We describe a topological predual ′B to the Fréchet space of differential forms B defined in an ope...
Stokes theorem for the first presented in 1854 as a research questionin Cambridge University of Engl...
Lecture notes written to accompany a one semester course introducing to differential manifolds. Beyo...
A pedagogical application-oriented introduction to the calculus of exterior differential forms on d...
International audienceWe establish the formula for the variation of integrals of differential forms ...
1.1. The Stokes Theorem. Let M be a C ∞ manifold of dimension m. Let U ⊆ M be an open subset of M. W...
International audienceIn this work we compute the Stokes matrices of the ordinary differential equat...
The aim of this work is to introduce differential forms on Euclidean space. The theory of differenti...
The generalization of the n-dimensional cube, an n-dimensional chain, the exterior derivative and th...
Includes bibliographical references (leave 80)The intent of this thesis is to expose the reader to S...
In the chapter one of this text we give an introduction to, and discuss the main integral theorems, ...
A pedagogical application-oriented introduction to the calculus of exterior differential forms on d...
Abstract. Using only fairly simple and elementary considera-tions- essentially from first year under...
In this paper we use a calculus of differential forms which is defined using an axiomatic approach. ...
In this paper we use a calculus of differential forms which is defined using an axiomatic approach. ...
We describe a topological predual ′B to the Fréchet space of differential forms B defined in an ope...
Stokes theorem for the first presented in 1854 as a research questionin Cambridge University of Engl...
Lecture notes written to accompany a one semester course introducing to differential manifolds. Beyo...
A pedagogical application-oriented introduction to the calculus of exterior differential forms on d...
International audienceWe establish the formula for the variation of integrals of differential forms ...
1.1. The Stokes Theorem. Let M be a C ∞ manifold of dimension m. Let U ⊆ M be an open subset of M. W...
International audienceIn this work we compute the Stokes matrices of the ordinary differential equat...