Joseph Ehrenfried Hofmann
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Joseph Ehrenfried Hofmann (* 7 March 1900 in
Munich Munich ( ; german: München ; bar, Minga ) is the capital and most populous city of the States of Germany, German state of Bavaria. With a population of 1,558,395 inhabitants as of 31 July 2020, it is the List of cities in Germany by popu ...
, † 7 May 1973 in Günzburg ) was a German historian of
mathematics Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...
, known for his research on
Gottfried Wilhelm Leibniz Gottfried Wilhelm (von) Leibniz . ( – 14 November 1716) was a German polymath active as a mathematician, philosopher, scientist and diplomat. He is one of the most prominent figures in both the history of philosophy and the history of mathema ...
.


Life and work

After graduating from high school in 1919 at the Wilhelm Gymnasium in Munich, Hofmann studied at
University of Munich The Ludwig Maximilian University of Munich (simply University of Munich or LMU; german: Ludwig-Maximilians-Universität München) is a public research university in Munich, Germany. It is Germany's List of universities in Germany, sixth-oldest u ...
with
Walther von Dyck Walther Franz Anton von Dyck (6 December 1856 – 5 November 1934), born Dyck () and later ennobled, was a German mathematician. He is credited with being the first to define a mathematical group, in the modern sense in . He laid the foundations ...
and George Faber, gaining Ph.D. in 1927. He was briefly an assistant in Munich and Darmstadt, before he went into the teaching profession in Gunzburg, Nördlingen. As a student he was drawn to the
history of mathematics The history of mathematics deals with the origin of discoveries in mathematics and the mathematical methods and notation of the past. Before the modern age and the worldwide spread of knowledge, written examples of new mathematical developments ...
after observing his mentor Faber publishing works of
Euler Leonhard Euler ( , ; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, geographer, logician and engineer who founded the studies of graph theory and topology and made pioneering and influential discoveries in ma ...
. Another influence was Henry Wieleitner, with whom he published several works on the
history of calculus Calculus, originally called infinitesimal calculus, is a mathematical discipline focused on limits, continuity, derivatives, integrals, and infinite series. Many elements of calculus appeared in ancient Greece, then in China and the Middle East, a ...
. As a school teacher, he continued his historical studies. In 1939 he habilitated in the history of mathematics at the
University of Berlin Humboldt-Universität zu Berlin (german: Humboldt-Universität zu Berlin, abbreviated HU Berlin) is a German public research university in the central borough of Mitte in Berlin. It was established by Frederick William III on the initiative o ...
. From 1940 to 1945 he edited an edition of the works of Leibnitz for the Berlin Academy of Sciences. Hofmann returned to
secondary education Secondary education or post-primary education covers two phases on the International Standard Classification of Education scale. Level 2 or lower secondary education (less commonly junior secondary education) is considered the second and final pha ...
in Gunzburg from 1947 until his retirement in 1963. He also had (in part-time) professor of the History of Mathematics at the
Albert Ludwig's University of Freiburg The University of Freiburg (colloquially german: Uni Freiburg), officially the Albert Ludwig University of Freiburg (german: Albert-Ludwigs-Universität Freiburg), is a public research university located in Freiburg im Breisgau, Baden-Württemb ...
, the
Humboldt University of Berlin Humboldt-Universität zu Berlin (german: Humboldt-Universität zu Berlin, abbreviated HU Berlin) is a German public research university in the central borough of Mitte in Berlin. It was established by Frederick William III on the initiative o ...
, the Eberhard Karls University of Tuebingen (honorary professorship in 1950) and the
Technical University of Karlsruhe The Karlsruhe Institute of Technology (KIT; german: Karlsruher Institut für Technologie) is a public research university in Karlsruhe, Germany. The institute is a national research center of the Helmholtz Association. KIT was created in 2009 w ...
. Hofmann organized regular symposia on the history of mathematics at the
Mathematical Research Institute of Oberwolfach The Oberwolfach Research Institute for Mathematics (german: Mathematisches Forschungsinstitut Oberwolfach) is a center for mathematical research in Oberwolfach, Germany. It was founded by mathematician Wilhelm Süss in 1944. It organizes weekl ...
, where he worked right after the war. Hofmann was considered an expert in the development of calculus by Leibniz, whose time in Paris he studied carefully. He recorded how the Newton-Leibniz calculus controversy contributed to the invention of calculus. He was co-editor of the works of Leibniz, of
Nicholas of Cusa Nicholas of Cusa (1401 – 11 August 1464), also referred to as Nicholas of Kues and Nicolaus Cusanus (), was a German Catholic cardinal, philosopher, theologian, jurist, mathematician, and astronomer. One of the first German proponents of Renai ...
, and of
Johann Bernoulli Johann Bernoulli (also known as Jean or John; – 1 January 1748) was a Swiss mathematician and was one of the many prominent mathematicians in the Bernoulli family. He is known for his contributions to infinitesimal calculus and educating L ...
as well as a mathematical history of
Abraham Gotthelf Kästner Abraham Gotthelf Kästner (27 September 1719 – 20 June 1800) was a German mathematician and epigrammatist. He was known in his professional life for writing textbooks and compiling encyclopedias rather than for original research. Georg Chr ...
. He also wrote about number theory of
Leonhard Euler Leonhard Euler ( , ; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, geographer, logician and engineer who founded the studies of graph theory and topology and made pioneering and influential discoveries in ma ...
and
Pierre de Fermat Pierre de Fermat (; between 31 October and 6 December 1607 – 12 January 1665) was a French mathematician who is given credit for early developments that led to infinitesimal calculus, including his technique of adequality. In particular, he ...
. He uncovered some new works of Fermat (published 1943). Out for a morning walk, he was killed by a vehicular hit and run.


Writings

*Selected Writings, 2 vols, (Editor Christoph Scriba ), Olms, Hildesheim 1990 with Oskar Becker : History of Mathematics, Bonn, Atheneum Publishing, 1951 (derived from Hofmann Part 2 and 3) *History of Mathematics, 3 volumes, de Gruyter, collection Goschen 1953-1957 (Part 1: From the beginnings to the emergence of Fermat and Descartes, 1953, Part 2: From Fermat and Descartes to the invention of calculus and to the development of new Methods, 2nd edition 1963, Part 3: From the debate over the calculus until the French Revolution, 1957, with detailed bibliography). His history of mathematics has also been translated into Spanish, French and English ( Classical Mathematics, New York, Philosophical Library, 1960, The History of Mathematics, New York, Philosophical Library 1957) *Leibniz in Paris 1672-1676 - his growth to mathematical maturity, Cambridge University Press, 1974 *The evolution of Leibniz's Mathematics, Munich, and Leibniz-Verlag, 1949, English edition of Leibniz in Paris 1672-1676: His growth to mathematical maturity, 1974 *Nicholas Mercator, his life and work, preferably as a mathematician, Academy of Sciences in Mainz, Abh Math-Natural Sciences. Class 3, Volume, p 43-103, 1950 *Frans von Schooten the Younger, Steiner Verlag, Wiesbaden, Boethius, Volume 2, 1962 *On Jacob Bernoulli's contributions to infinitesimal mathematics, L'Enseignement Mathématique, Series 2, Volume 2, 1956 *Michael Stifel. Life, work and relevance to the mathematics of his time, Sudhoffs Archives, Supplement 9, Steiner Verlag 1968 *Four decades in the struggle for mathematics and historical contexts, in Bernhard Sticker, Friedrich Klemm (ed.) ways of the History of Science, Wiesbaden 1969


References


Additional sources

* Folkerts . Joseph Ehrenfried Hofmann †. Sudhoffs archive. Journal of the History of Science, Volume 57, Issue 3, 1973, p. 227-230 (with portrait). *
Christoph Scriba Christoph J. Scriba (6 October 1929 – 26 July 2013) was a German historian of mathematics. Life and work Scriba was born in Darmstadt and studied at ''Justus-Liebig-University Giessen''. He read James Gregory (mathematician), James Gregory ...
(1975) "Chronology of J.E. Hofmann, bibliographic note and summary bibliography of his writings",
Historia Mathematica ''Historia Mathematica: International Journal of History of Mathematics'' is an academic journal on the history of mathematics published by Elsevier. It was established by Kenneth O. May in 1971 as the free newsletter ''Notae de Historia Mathemat ...
2(2): 147–152 * List of his writings: Joseph Ehrenfried Hofmann's 70th Birthday, casting notices from the mathematical seminar, Issue 90, 1971, ISSN 0373-8221, pp. 51–73. * Siegfried Gottwald, Hans-Joachim Illgauds, Karl-Heinz Schlote (ed.): Encyclopedia of important mathematicians . Bibliographical Institute, Leipzig, 1990, . * Joseph W. Dauben, Christoph J. Scriba (Eds.): Writing the history of mathematics. Its historical development . Birkhauser, Basel and others 2002, , ( Science Networks 27). {{DEFAULTSORT:Hofmann, Joseph Ehrenfried 1900 births 1973 deaths German historians of mathematics Gottfried Wilhelm Leibniz scholars 20th-century German historians Technical University of Munich alumni Members of the German Academy of Sciences at Berlin