Cajori, Florian
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Florian Cajori (February 28, 1859 – August 14 or 15, 1930) was a Swiss-American
historian of mathematics The history of mathematics deals with the origin of discoveries in mathematics and the History of mathematical notation, mathematical methods and notation of the past. Before the modern age and the worldwide spread of knowledge, written examples ...
.


Biography

Florian Cajori was born in Zillis,
Switzerland Switzerland, officially the Swiss Confederation, is a landlocked country located in west-central Europe. It is bordered by Italy to the south, France to the west, Germany to the north, and Austria and Liechtenstein to the east. Switzerland ...
, as the son of Georg Cajori and Catherine Camenisch. He attended schools first in Zillis and later in
Chur '' Chur (locally) or ; ; ; ; ; ; or ; , and . is the capital and largest List of towns in Switzerland, town of the Switzerland, Swiss Cantons of Switzerland, canton of the Grisons and lies in the Alpine Rhine, Grisonian Rhine Valley, where ...
. In 1875, Florian Cajori emigrated to the United States at the age of sixteen, and attended the State Normal school in
Whitewater, Wisconsin Whitewater is a city located in Walworth and Jefferson counties in the U.S. state of Wisconsin. Located near the southern portion of the Kettle Moraine State Forest, Whitewater is the home of the University of Wisconsin–Whitewater. As of t ...
. After graduating in 1878, he taught in a country school, and later began studying
mathematics Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...
at
University of Wisconsin–Madison The University of Wisconsin–Madison (University of Wisconsin, Wisconsin, UW, UW–Madison, or simply Madison) is a public land-grant research university in Madison, Wisconsin, United States. It was founded in 1848 when Wisconsin achieved st ...
. In 1883, Cajori received both his bachelor's and master's degrees from the University of Wisconsin–Madison, briefly attended Johns Hopkins University for 8 months in between degrees. He taught for a few years at
Tulane University The Tulane University of Louisiana (commonly referred to as Tulane University) is a private research university in New Orleans, Louisiana, United States. Founded as the Medical College of Louisiana in 1834 by a cohort of medical doctors, it b ...
, before being appointed as professor of applied mathematics there in 1887. He was then driven north by tuberculosis. He founded the Colorado College Scientific Society and taught at
Colorado College Colorado College is a private college, private liberal arts colleges in the United States, liberal arts college in Colorado Springs, Colorado. Founded in 1874 by Thomas Nelson Haskell in his daughter's memory, the college offers over 40 majors a ...
where he held the chair in physics from 1889 to 1898 and the chair in mathematics from 1898 to 1918. He was the position Dean of the engineering department. While at Colorado, he received his doctorate from Tulane in 1894, and married Elizabeth G. Edwards in 1890 and had one son. Cajori's ''A History of Mathematics'' (1894) was the first popular presentation of the history of mathematics in the United States. Based upon his reputation in the history of mathematics (even today his 1928–1929 ''History of Mathematical Notations'' has been described as "unsurpassed") he was appointed in 1918 to the first history of mathematics chair in the U.S, created especially for him, at the
University of California, Berkeley The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California), is a Public university, public Land-grant university, land-grant research university in Berkeley, California, United States. Founded in 1868 and named after t ...
. He remained in Berkeley, California until his death in 1930. Cajori did no original mathematical research unrelated to the history of mathematics. In addition to his numerous books, he also contributed highly recognized and popular historical articles to the ''
American Mathematical Monthly ''The American Mathematical Monthly'' is a peer-reviewed scientific journal of mathematics. It was established by Benjamin Finkel in 1894 and is published by Taylor & Francis on behalf of the Mathematical Association of America. It is an exposi ...
''. His last work was a revision of Andrew Motte's 1729 translation of Newton's ''Principia'', vol.1 The Motion of Bodies, but he died before it was completed. The work was finished by R.T. Crawford of Berkeley, California.


Societies and honors

* 1917–1918,
Mathematical Association of America The Mathematical Association of America (MAA) is a professional society that focuses on mathematics accessible at the undergraduate level. Members include university A university () is an educational institution, institution of tertiary edu ...
president * 1923, American Association for the Advancement of Science vice-president * 1924, Invited Speaker of the
International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the IMU Abacus Medal (known before ...
in 1924 in Toronto * 1924–1925,
History of Science Society The History of Science Society (HSS), founded in 1924, is the primary professional society for the academic study of the history of science. The society has over 3,000 members worldwide. It publishes the quarterly journal ''Isis'' and the yearly ...
vice-president * 1929–1930, Comité International d'Histoire des Sciences vice-president * The Cajori crater on the Moon was named in his honour


Publications


Books

* 1890
''The Teaching and History of Mathematics in the United States''
U.S. Government Printing Office. * 1893
''A History of Mathematics''
Macmillan & Company. * 1898: '' A History of Elementary Mathematics'', Macmillan. * 1899
''A History of Physics in its Elementary Branches: Including the Evolution of Physical Laboratories''
The Macmillan Company, 1899. *
''A History of Physics in its Elementary Branches: Including the Evolution of Physical Laboratories''
The Macmillan Company, 1917. ** * 1909
''A History of the Logarithmic Slide Rule and Allied Instruments''
The Engineering News Publishing Company. * 1916
''William Oughtred: a Great Seventeenth-century Teacher of Mathematics''
The Open Court Publishing Company * 1919
''A History of the Conceptions of Limits and Fluxions in Great Britain, from Newton to Woodhouse''
Open Court Publishing Company The Open Court Publishing Company is a publisher with offices in Chicago and LaSalle, Illinois. It is part of the Carus Publishing Company of Peru, Illinois. History Open Court was founded in 1887 by Edward C. Hegeler of the Matthiessen-Hege ...
. * 1920
''On the History of Gunter's Scale and the Slide Rule during the Seventeenth Century''
Vol. 1,
University of California Press The University of California Press, otherwise known as UC Press, is a publishing house associated with the University of California that engages in academic publishing. It was founded in 1893 to publish scholarly and scientific works by faculty ...
. * 1928: ''
A History of Mathematical Notations ''A History of Mathematical Notations'' is a book on the history of mathematics and of mathematical notation. It was written by Swiss-American historian of mathematics Florian Cajori (1859–1930), and originally published as a two-volume set by ...
'' The Open Court Company. * 1934: ''Sir Isaac Newton's Mathematical Principles of Natural Philosophy and His System of the World'' tr. Andrew Motte, rev. Florian Cajori. Berkeley: University of California Press.


Articles

* 1913: "History of the Exponential and Logarithmic Concepts",
American Mathematical Monthly ''The American Mathematical Monthly'' is a peer-reviewed scientific journal of mathematics. It was established by Benjamin Finkel in 1894 and is published by Taylor & Francis on behalf of the Mathematical Association of America. It is an exposi ...
20: *
Page 5
From Napier to Leibniz and John Bernoulli I, 1614 — 1712 *
Page 35
The Modern Exponential Notation (continued) *
Page 75
: The Creation of a Theory of Logarithms of Complex Numbers by Euler, 1747 — 1749 *
Page 107
: From Euler to Wessel and Argand, 1749 — 1800, Barren discussion. *
Page 148
Generalizations and refinements effected during the nineteenth century : Graphic representation *
Page 173
Generalizations and refinements effected during the nineteenth century (2) *
Page 205
Generalizations and refinements effected during the nineteenth century (3) These seven installments of the article are available through the Early Content program of
Jstor JSTOR ( ; short for ''Journal Storage'') is a digital library of academic journals, books, and primary sources founded in 1994. Originally containing digitized back issues of academic journals, it now encompasses books and other primary source ...
. * 1923: "The History of Notations of the Calculus."
Annals of Mathematics The ''Annals of Mathematics'' is a mathematical journal published every two months by Princeton University and the Institute for Advanced Study. History The journal was established as ''The Analyst'' in 1874 and with Joel E. Hendricks as t ...
, 2nd Ser., Vol. 25, No. 1, pp. 1–46


Notes and references


External links

* * * * * * * {{DEFAULTSORT:Cajori, Florian 1859 births 1930 deaths 19th-century American mathematicians 20th-century American mathematicians Tulane University alumni Swiss emigrants to the United States American historians of mathematics Presidents of the Mathematical Association of America