© 2015

Jost Bürgi's Aritmetische und Geometrische Progreß Tabulen (1620)

Edition and Commentary


  • Presents the first-ever English translation of Jost Bürgi's Arithmetische und Geometrische Progreß Tabulen

  • Includes full-color, high-resolution scans of 23 pages of text and 58 tables from an original copy of the work

  • Provides transcriptions of two of the surviving editions of Bürgi's work side-by-side so readers can examine the differences between the two manuscripts


Part of the Science Networks. Historical Studies book series (SNHS, volume 53)

Table of contents

About this book


This monograph presents a groundbreaking scholarly treatment of the German mathematician Jost Bürgi’s original work on logarithms, Arithmetische und Geometrische Progreß Tabulen.  It provides the first-ever English translation of Bürgi’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 Bürgi 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 Bürgi’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 Bürgi’s life, the underlying concept of Napier’s construction of logarithms, and scans of all 58 sheets of the tables from Bürgi’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. 


17th-century mathematics Jost Bürgi geometric sequence history of mathematics logarithms

Authors and affiliations

  1. 1.School of Teacher EducationThe Florida State UniversityTallahasseeUSA

Bibliographic information

  • Book Title Jost Bürgi's Aritmetische und Geometrische Progreß Tabulen (1620)
  • Book Subtitle Edition and Commentary
  • Authors Kathleen Clark
  • Series Title Science Networks. Historical Studies
  • Series Abbreviated Title Science Networks Hist.Studies(Birkhäuser)
  • DOI
  • Copyright Information Springer Science+Business Media New York 2015
  • Publisher Name Birkhäuser, New York, NY
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Hardcover ISBN 978-1-4939-3160-6
  • Softcover ISBN 978-1-4939-7991-2
  • eBook ISBN 978-1-4939-3161-3
  • Series ISSN 1421-6329
  • Series E-ISSN 2296-6080
  • Edition Number 1
  • Number of Pages XIII, 258
  • Number of Illustrations 4 b/w illustrations, 93 illustrations in colour
  • Topics History of Mathematical Sciences
    Mathematics Education
  • Buy this book on publisher's site
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