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
We consider differentiable maps in the framework of Abstract Differential Geometry and we prove a nu...
The aim of this book is to introduce and develop an arithmetic analogue of classical differential ge...
In this work we unify and generalize the existing definitions of derivatives of functions by present...
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...
This paper will be a brief introduction to the theories of differential geometry. The foundation of t...
This chapter provides a detailed examination of the manner in which elements drawn from a reading of...
Differential Geometry is a wide field. We have chosen to concentrate upon certain aspects that are a...
Generalized Functions play a central role in the understanding of differential equations containing ...
AbstractIn order to make a reasonable assessment of the significance of Riemann's role in the histor...
Differential Geometry is the study of the differentiable properties of curves and surfaces at a poin...
Chapter 1 presents theorems on differentiable functions often used in differential topology, such as...
We consider differentiable maps in the framework of Abstract Differential Geometry and we prove a nu...
The aim of this book is to introduce and develop an arithmetic analogue of classical differential ge...
In this work we unify and generalize the existing definitions of derivatives of functions by present...
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...
This paper will be a brief introduction to the theories of differential geometry. The foundation of t...
This chapter provides a detailed examination of the manner in which elements drawn from a reading of...
Differential Geometry is a wide field. We have chosen to concentrate upon certain aspects that are a...
Generalized Functions play a central role in the understanding of differential equations containing ...
AbstractIn order to make a reasonable assessment of the significance of Riemann's role in the histor...
Differential Geometry is the study of the differentiable properties of curves and surfaces at a poin...
Chapter 1 presents theorems on differentiable functions often used in differential topology, such as...
We consider differentiable maps in the framework of Abstract Differential Geometry and we prove a nu...
The aim of this book is to introduce and develop an arithmetic analogue of classical differential ge...
In this work we unify and generalize the existing definitions of derivatives of functions by present...