Divergent series: past, present, future
Christiane Rousseau
TL;DR
This paper reflects on the historical development and significance of divergent series within mathematics, focusing on their role in differential equations and dynamical systems.
Contribution
It offers a historical and conceptual overview of divergent series specifically in the context of differential equations and dynamical systems.
Findings
Highlights the evolving understanding of divergent series in mathematics.
Discusses the importance of divergent series in solving differential equations.
Provides a historical perspective on the role of divergent series in mathematical development.
Abstract
The present paper presents some reflections of the author on divergent series and their role and place in mathematics over the centuries. The point of view presented here is limited to differential equations and dynamical systems.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Mathematical Dynamics and Fractals · Advanced Mathematical Theories