Archive for History of Exact Sciences最新文献

Method and style in archimedes’ quadrature of the parabola 阿基米德抛物线求积的方法和风格

IF 0.7 2区哲学

Archive for History of Exact Sciences Pub Date : 2025-10-03 DOI: 10.1007/s00407-025-00352-w

Nicholas L. Winters

引用次数: 0

From the foundations of quantum mechanics to quantum optics: how John Clauser and Alain Aspect came to study the quantum properties of light 从量子力学的基础到量子光学：约翰·克劳瑟和阿兰·奥派西是如何开始研究光的量子特性的

IF 0.7 2区哲学

Archive for History of Exact Sciences Pub Date : 2025-09-06 DOI: 10.1007/s00407-025-00351-x

Gautier Depambour

引用次数: 0

The 數 Shu (Mathematics): a Qin-dynasty work on bamboo and wooden slips from ancient China—transcription and English translation with commentary 《数学》：秦代有关中国古代竹简和木简的著作，抄写和英译并附注释

IF 0.7 2区哲学

Archive for History of Exact Sciences Pub Date : 2025-09-04 DOI: 10.1007/s00407-024-00340-6

Xulin Zhou , Joseph W. Dauben

{"title":"The 數 Shu (Mathematics): a Qin-dynasty work on bamboo and wooden slips from ancient China—transcription and English translation with commentary","authors":"Xulin Zhou \u0000 , Joseph W. Dauben","doi":"10.1007/s00407-024-00340-6","DOIUrl":"10.1007/s00407-024-00340-6","url":null,"abstract":"<div>In 2007, a trove of bamboo and wooden slips clandestinely smuggled out of China was sold to the Yuelu Academy of Hunan University by a Hong Kong cultural relics dealer. The following year, another small number of slips that later proved to belong to the same group were also donated to the Academy. These slips are believed to date from no later than 212 bce. Among the documents conveyed to the Yuelu Academy is a mathematical text, the 數 Shu (Mathematics), a character that appears on the verso of slip 01(0956) and generally regarded as the title of this work. The problems in the Shu can be divided into eleven distinctive types, namely: areas, fractions, military encampments, norms, grain conversions, proportional distributions, shao-guang ([method for] slightly [increasing] widths), volumes, excess and deficiency, right triangles (gou-gu), and taxation. The original collators of the Shu published photographs of a majority of the Shu slips along with transcriptions and notes concerning their contents in 2011; the rest appeared in 2022. In the course of the research presented here, each character on the Shu slips has been individually examined, special scribal marks have been identified, and their functions are explained. Also, each Chinese sentence has been carefully punctuated, resulting in a more readable version of the Chinese text. In what follows, the Shu is translated into English for the first time, with corresponding notes to help readers better understand the context of the Shu as well as many of the paleographic, philological, and various technical details necessary for a correct understanding of the translation. This work serves as a window into the evolution and development of Chinese mathematics during the pre-Qin and Qin periods, and thereby reflects the state of ancient Chinese mathematics at that time.</div>","PeriodicalId":50982,"journal":{"name":"Archive for History of Exact Sciences","volume":"79 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2025-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00407-024-00340-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144990509","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Hilbert’s problems, Kant, and decidability 希尔伯特的问题，康德和可决性

IF 0.7 2区哲学

Archive for History of Exact Sciences Pub Date : 2025-08-11 DOI: 10.1007/s00407-025-00350-y

Moritz Bodner

引用次数: 0

Hipparchus’ Star Catalogues 希帕尔库斯星表

IF 0.7 2区哲学

Archive for History of Exact Sciences Pub Date : 2025-07-17 DOI: 10.1007/s00407-025-00346-8

Francesca Schironi

引用次数: 0

Correction: The problem of Apollonius in the Urbino School 更正：乌尔比诺学派的阿波罗尼乌斯问题

IF 0.7 2区哲学

Archive for History of Exact Sciences Pub Date : 2025-05-03 DOI: 10.1007/s00407-025-00349-5

Argante Ciocci

引用次数: 0

A neglected text: the new method of Hu Shi and Zhu Zaiyu’s interpolation 一个被忽视的文本：胡适、朱载予的插补新方法

IF 0.7 2区哲学

Archive for History of Exact Sciences Pub Date : 2025-04-29 DOI: 10.1007/s00407-025-00348-6

Gang Li, Anjing Qu

{"title":"A neglected text: the new method of Hu Shi and Zhu Zaiyu’s interpolation","authors":"Gang Li, Anjing Qu","doi":"10.1007/s00407-025-00348-6","DOIUrl":"10.1007/s00407-025-00348-6","url":null,"abstract":"<div>This paper translates and interprets a neglected and significant original text in Zhu Zaiyu’s 朱載堉 (1536–1611) calendar system. The invention and application of Guo Shoujing’s 郭守敬 (1231–1316) hushi geyuan 弧矢割圓 was a great change in the concept of constructing calendar system. In this text we argue that, by giving the relationship between xian-hu 弦弧 ratio and shi 矢, Zhu Zaiyu provided a new method of hu shi 弧矢新術 with higher accuracy than Guo Shoujing’s. Furthermore, we retrieved the construction of the new method of hu shi and discovered the crucial fact that Zhu Zaiyu created a new interpolation method. According to Zhu Zaiyu, a linear interpolation was used to modify the coefficient in each single step, then by repeating the steps, a high-order polynomial function could be constructed. Zhu Zaiyu’s interpolation was mechanical, and the polynomial function constructed by this method was categorized as the type of Newton interpolation, notably in modern terms. The critical purpose of ancient Chinese calendar compilers in interpolation was to construct higher order polynomial function; crucially, Zhu Zaiyu gave a general solution to this problem.</div>","PeriodicalId":50982,"journal":{"name":"Archive for History of Exact Sciences","volume":"79 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143883679","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A clockmaker’s mathematics: a technology-based approach to the mathematical works of Jost Bürgi (1552–1632) 钟表匠的数学：以技术为基础的方法来研究Jost b<s:1> rgi（1552-1632）的数学著作

IF 0.7 2区哲学

Archive for History of Exact Sciences Pub Date : 2025-02-14 DOI: 10.1007/s00407-025-00347-7

Damian Moosbrugger

{"title":"A clockmaker’s mathematics: a technology-based approach to the mathematical works of Jost Bürgi (1552–1632)","authors":"Damian Moosbrugger","doi":"10.1007/s00407-025-00347-7","DOIUrl":"10.1007/s00407-025-00347-7","url":null,"abstract":"<div>In this article, I propose a new approach to analyze the interrelations between mathematics and technology. It has the potential to contribute methodologically to both the fields of history of mathematics as well as the study of computational technologies in the current context. Based on the conception of mathematics as a contingent human practice, I claim that the practical engagement with technology not only subjects new fields, materials, and problems to mathematical scrutiny but might even shape mathematics from within. To illustrate my approach and corroborate my thesis, I present a historical case study on the mathematical works of the Swiss clock- and instrument-maker Jost Bürgi (1552–1632). Besides being a practicing artisan, he left three mathematical treatises. The advancements in fine metal working at his time, exemplified in clockwork mechanisms and measuring instruments, not only motivated and directed Bürgi’s mathematical inquiries. Instead, I argue that the interaction with these technical apparatuses in practice has shaped the internal structure and workings of his mathematics, that is, its entities, justifications, presentations, proofs, and procedures. The close analysis of some aspects of his oeuvre, especially his notion(s) of the sine, his way of explaining the occurrence of multiple solutions in algebra, and his visual depiction of the bridging of ten in his logarithmic computational tool, reveals a potential integration of the experience and practical knowledge of a clockmaker into mathematics. I therefore make the point that his mathematical writings portray a clockmaker’s mathematics.</div>","PeriodicalId":50982,"journal":{"name":"Archive for History of Exact Sciences","volume":"79 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2025-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00407-025-00347-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143423104","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

The formation of a paper tool: intensity schemes in the old quantum theory 纸工具的形成：旧量子理论中的强度方案

IF 0.7 2区哲学

Archive for History of Exact Sciences Pub Date : 2025-02-04 DOI: 10.1007/s00407-024-00345-1

Martin Jähnert

引用次数: 0

When genius met data: Kepler’s first exploration of Tycho’s observations 天才遇上数据：开普勒首次探索第谷的观测结果

IF 0.7 2区哲学

Archive for History of Exact Sciences Pub Date : 2025-01-06 DOI: 10.1007/s00407-024-00344-2

Christián C. Carman

引用次数: 0