论文标题

扰动理论

Perturbation Theory

论文作者

Fillion, Nicolas, Corless, Robert M.

论文摘要

本文旨在解释扰动理论及其概念基础的基本要素。这并不意味着流行扰动方法的摘要,尽管给出了一些说明性的例子来强调主要的方法论见解和关注点。我们还简要阐述了提供必要基础的极限,连续性,不同性,收敛性和差异的数学概念。

This article aims to explain essential elements of perturbation theory and their conceptual underpinnings. It is not meant as a summary of popular perturbation methods, though some illustrative examples are given to underline the main methodological insights and concerns. We also give brief explications of the mathematical notions of limit, continuity, differentiability, convergence, and divergence, which provide the necessary foundation.

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