Jost Bürgi's Aritmetische und Geometrische Progreß Tabulen (1620) : edition and commentary
著者
書誌事項
Jost Bürgi's Aritmetische und Geometrische Progreß Tabulen (1620) : edition and commentary
（Science networks, historical studies, v. 53）
Birkhäuser , Springer, 2015
- : hbk
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注記
Includes bibliographical references (p. 249-251) and indexes
Also published electronically
内容説明・目次
内容説明
This monograph presents a groundbreaking scholarly treatment of the German mathematician Jost Burgi's original work on logarithms, Arithmetische und Geometrische Progress Tabulen. It provides the first-ever English translation of Burgi's text and illuminates his role in the development of the conception of logarithms, for which John Napier is traditionally given priority. High-resolution scans of each page of the his handwritten text are reproduced for the reader and as a means of preserving an important work for which there are very few surviving copies.
The book begins with a brief biography of Burgi to familiarize readers with his life and work, as well as to offer an historical context in which to explore his contributions. The second chapter then describes the extant copies of the Arithmetische und Geometrische Progress Tabulen, with a detailed description of the copy that is the focus of this book, the 1620 "Graz manuscript". A complete facsimile of the text is included in the next chapter, along with a corresponding transcription and an English translation; a transcription of a second version of the manuscript (the "Gdansk manuscript") is included alongside that of the Graz edition so that readers can easily and closely examine the differences between the two. The final chapter considers two important questions about Burgi's work, such as who was the copyist of the Graz manuscript and what the relationship is between the Graz and Gdansk versions. Appendices are also included that contain a timeline of Burgi's life, the underlying concept of Napier's construction of logarithms, and scans of all 58 sheets of the tables from Burgi's text.
Anyone with an appreciation for the history of mathematics will find this book to be an insightful and interesting look at an important and often overlooked work. It will also be a valuable resource for undergraduates taking courses in the history of mathematics, researchers of the history of mathematics, and professors of mathematics education who wish to incorporate historical context into their teaching.
目次
Preface.- A Brief Biography of Jost Burgi (1522-1632).- Details of Aritmetische und Geometrische Progress Tabulen: Printed Tables, Manuscripts, and Mathematical Details.- Aritmetische und Geometrische Progress Tabulen: Edition, Translation, and Commentary.- Final Perspectives.- Appendix 1: Burgi Biography at a Glance.- Appendix 2: Napier's Argument and Construction of Logarithms.- Appendix 3: The Tables of the Aritmetische und Geometrische Progress Tabulen/Sambt grundlichem unterricht/wie solche nutzlich in allerley Rechnungen zu gebrauchen/und verstanden werden sol (Burgi, 1620).- References.
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