Add to ORKGIn this first paper we outline what possible historic-epistemological role might have played the work of Ulisse Dini on implicit function theory in formulating the structure of differentiable manifold, via the basic work of Hassler Whitney. A detailed historiographical recognition about this Dini's work has been done. Further methodological considerations are then made as regards history of mathematics
AbstractIn order to make a reasonable assessment of the significance of Riemann's role in the histor...
This paper will be a brief introduction to the theories of differential geometry. The foundation of t...
As the fourth paper of our series of papers concerned with axiomatic differential geometry, this pap...
In this first paper we outline what possible historic-epistemological role might have played the wor...
We discuss central aspects of history of the concept of an affine differentiable manifold, as a prop...
The implicit function theorem is part of the bedrock of mathematics analysis and geometry. Finding i...
The works prsented in this habilitation thesis can be gathered in six themes. Works on the implicit ...
The paper provides an analysis of Giuseppe Vitali’s contributions to differential geom- etry over th...
Generalization to the Implicit Function Theorem to infinite dimensional spaces has proven to provide...
Generalized Functions play a central role in the understanding of differential equations containing ...
AbstractIn this paper, the inverse function theorem and the implicit function theorem in a non-Archi...
We consider differentiable maps in the framework of Abstract Differential Geometry and we prove a nu...
This chapter provides a detailed examination of the manner in which elements drawn from a reading of...
In this work we unify and generalize the existing definitions of derivatives of functions by present...
Chapter 1 presents theorems on differentiable functions often used in differential topology, such as...
AbstractIn order to make a reasonable assessment of the significance of Riemann's role in the histor...
This paper will be a brief introduction to the theories of differential geometry. The foundation of t...
As the fourth paper of our series of papers concerned with axiomatic differential geometry, this pap...
In this first paper we outline what possible historic-epistemological role might have played the wor...
We discuss central aspects of history of the concept of an affine differentiable manifold, as a prop...
The implicit function theorem is part of the bedrock of mathematics analysis and geometry. Finding i...
The works prsented in this habilitation thesis can be gathered in six themes. Works on the implicit ...
The paper provides an analysis of Giuseppe Vitali’s contributions to differential geom- etry over th...
Generalization to the Implicit Function Theorem to infinite dimensional spaces has proven to provide...
Generalized Functions play a central role in the understanding of differential equations containing ...
AbstractIn this paper, the inverse function theorem and the implicit function theorem in a non-Archi...
We consider differentiable maps in the framework of Abstract Differential Geometry and we prove a nu...
This chapter provides a detailed examination of the manner in which elements drawn from a reading of...
In this work we unify and generalize the existing definitions of derivatives of functions by present...
Chapter 1 presents theorems on differentiable functions often used in differential topology, such as...
AbstractIn order to make a reasonable assessment of the significance of Riemann's role in the histor...
This paper will be a brief introduction to the theories of differential geometry. The foundation of t...
As the fourth paper of our series of papers concerned with axiomatic differential geometry, this pap...