一个制表师的数学:一种基于技术的方法来理解Jost Bürgi (1552-1632) 的数学作品
1Chair of History and Philosophy of Mathematics, Department of Humanities, Social and Political Sciences, Swiss Federal Institute of Technology Zurich (ETH Zürich), Clausiusstrasse 59, 8092 Zurich, Switzerland.
Archive for history of exact sciences
|February 17, 2025
概括
这项研究引入了一种分析数学和技术相互作用的新方法. 它展示了与技术的实际接触如何塑造数学本身,使用Jost Bürgi.
科学领域:
- 数学的历史数学的历史.
- 科学和技术的历史 科学和技术的历史
- 计算技术 计算技术 计算技术
背景情况:
- 数学通常被视为抽象的,与实际应用分开.
- 技术进步对数学发展的影响是一个需要更深入研究的领域.
- 理解数学作为一种偶然的人类实践,为分析开辟了新的途径.
研究的目的:
- 提出一种新的方法论方法来分析数学和技术之间的相互关系.
- 展示如何与技术的实际接触可以在内部塑造数学.
- 通过对Jost Bürgi作品的历史案例研究来说明这种方法.
主要方法:
- 历史案例研究分析,重点关注Jost Bürgi的数学论文及其作为制表师的工作.
- 检查16世纪精细金属加工技术对布尔吉数学研究的影响.
- 仔细阅读布尔吉的数学实体,证明,演示,证明和程序.
主要成果:
- 精细金属加工技术的进步激励并指导了布尔吉的数学工作.
- 布尔吉作为制表师的实践经验显然塑造了他的数学内部结构.
- 具体的例子包括他的正弦概念,代数解的解释和对数计算工具.
结论:
- 与技术装置的实际接触可以深刻地影响数学的内部运作.
- 约斯特·布尔吉 (Jost Bürgi) 的数学著作是'制表师的数学'的典范,整合了工匠的经验.
- 这种方法为数学历史和计算技术的研究提供了方法论上的贡献.
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