Overview
Presents three previously unpublished manuscripts, including the paper Ms. 27, which contains the 120 Propositiones
The 120 Propositiones reflect Bernoulli’s vast range of scientific interests
Features seven works by contemporaries of Johann and Jacob Bernoulli and shares insights into the connections between these mathematicians
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Keywords
About this book
This volume contains 17 mathematical works by Johann Bernoulli, written between 1680 – when he was only 13 years old and studied mathematics with his brother Jacob – and 1732, when he was 65 years old.
Five of the works are handwritten manuscripts, and another three belong to the Anekdota, which he published in the fourth volume of his Opera Omnia.
The book features also seven works by other authors: John Craig, Jacob Hermann, Gottfried Wilhelm Leibniz, and Ehrenfried Walther von Tschirnhaus. Another work included in this book was co-written by Johann Bernoulli and Samuel Klingenstjerna.
The texts presented here are divided into two parts: the first consists of a substantial untitled paper (Ms. 27) that contains, in a sequence numbered by the author, 120 propositions on various subjects that Bernoulli explored over a very long period of time, namely from 1685 to the first decades of the 18th century. In turn, the second part is composed of a series of articles and manuscripts devoted to problems on the rectification and transformation of curves, on geodesics, and on spherical epicycloids.
In addition to information on the rapid advances in mathematics during this period, the volume also shares fascinating insights into the connections between the mathematicians.
Authors, Editors and Affiliations
About the editors
Enrico Giusti is Professor Emeritus from the University of Florence, and the director of "Garden of Archimedes", a museum devoted to mathematics in Florence, Italy.
Clara Silvia Roero is Professor at the Dipartimento di Matematica “Giuseppe Peano” at the University of Turin, Italy.
Patricia Radelet-de Grave is Professor Emeritus from the Université catholique de Louvain. She has contributed in different roles to the Bernoulli edition project since 1974.
Bibliographic Information
Book Title: Die Werke von Johann I und Nicolaus II Bernoulli
Book Subtitle: Band 2: Mathematik II
Authors: Johann I Bernoulli, Nicolaus II Bernoulli
Editors: Enrico Giusti, Clara Silvia Roero
Publisher: Birkhäuser Basel
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-7643-8527-9Published: 03 May 2019
Edition Number: 1
Number of Pages: XVII, 573
Number of Illustrations: 2 b/w illustrations
Topics: History of Mathematical Sciences, History of Science