This paper aims to provide an updated synthesis on the works of Archimedes and the fundamental impact these have had on subsequent mathematical practice. The influence his mathematical processes have had on modern mathematics and how these have helped develop the field is discussed in historical perspective. Some of the recent investigations into the Archimedes Palimpsest are discussed and synthesized, namely, how they alter our understanding of some of his earlier works, and how Archimedean principles are seen to have laid the foundations of possible new branches of mathematics.

中文翻译：

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阿基米德原理和数学遗产：综合

本文旨在对阿基米德的工作及其对后续数学实践的根本影响提供最新的综合。从历史的角度讨论了他的数学过程对现代数学的影响以及这些过程如何帮助发展该领域。讨论和综合了最近对阿基米德复本的一些研究，即它们如何改变我们对他早期作品的理解，以及阿基米德原理如何被视为可能为新的数学分支奠定了基础。