书目名称 | Duality in 19th and 20th Century Mathematical Thinking |
编辑 | Ralf Krömer,Emmylou Haffner |
视频video | |
概述 | Provides an extensive and multidisciplinary investigation of the history of duality.Discusses in depth the uses and circulation of various notions of duality.Offers a comprehensive overview of duality |
丛书名称 | Science Networks. Historical Studies |
图书封面 |  |
描述 | .This volume brings together scholars across various domains of the history and philosophy of mathematics, investigating duality as a multi-faceted phenomenon. Encompassing both systematic analysis and historical examination, the book endeavors to elucidate the status, roles, and dynamics of duality within the realms of 19th and 20th-century mathematics. Eschewing .a priori. notions, the contributors embrace the diverse interpretations and manifestations of duality, thus presenting a nuanced and comprehensive perspective on this intricate subject...Spanning a broad spectrum of mathematical topics and historical periods, the book uses detailed case studies to investigate the different forms in which duality appeared and still appears in mathematics, to study their respective histories, and to analyze interactions between the different forms of duality. The chapters inquire into questions such as the contextual occurrences of duality in mathematics, the influence of chosen forms of representation, the impact of investigations of duality on mathematical practices, and the historical interconnections among various instances of duality. Together, they aim to answer a core question: Is t |
出版日期 | Book 2024 |
关键词 | Duality in Mathematics; HIstory of Mathematics; 19th century; 20th century; Philosophy of mathematics; De |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-031-59797-8 |
isbn_softcover | 978-3-031-59799-2 |
isbn_ebook | 978-3-031-59797-8Series ISSN 1421-6329 Series E-ISSN 2296-6080 |
issn_series | 1421-6329 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |