Robert Daniel Carmichael

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Robert Daniel Carmichael (born March 1, 1879 in Goodwater , Alabama , † May 2, 1967 in Merriam , Kansas ) was an American mathematician .


Carmichael attended Lineville College in Alabama with the Bachelor graduation in 1898 and then was Presbyterian minister in Hartselle , Alabama. From 1905 he began to publish problems in the American Mathematical Monthly and essays in mathematical journals and in 1905 he became a mathematics professor at Presbyterian College, Anniston . After he had published 170 papers, including in the Annals of Mathematics and the Bulletin of the American Mathematical Society , he continued his studies at Princeton University fort, where he in 1911 George David Birkhoff Ph.D.(Linear Difference Equations and their Analytic Solutions). As a student he received the Porter Ogden Jacobus Fellowship at Princeton. After receiving his doctorate, he became an assistant professor and in 1912 an associate professor at Indiana University . In 1915 he taught at the University of Chicago Summer School, became an assistant professor at the University of Illinois , in 1918 an associate professor and in 1920 he was given a full professorship . From 1929 to 1934 he headed the mathematics faculty and was dean of the graduate school from 1934, which he remained until his retirement in 1947.

Carmichael was considered a talented and versatile mathematician. The set of Carmichael dates back to 1910. He published in 1914 and 1915 two books on number theory and a book on group theory . The Carmichael function comes from him and the Carmichael numbers are named after him .

From 1912 he also dealt with the theory of relativity , about which he published a book in 1913. The material was based on lectures he gave at the University of Indiana in the fall of 1912, as well as his publications in Physical Review . He took into account the development of the general theory of relativity by Albert Einstein in the 2nd edition in 1920.


  • The Theory of Relativity , 1st Edition, New York: John Wiley & Sons, Inc., pp. 74, 1913.
  • The Theory of Numbers , New York: John Wiley & Sons, Inc., pp. 94, 1914. Gutenberg eText
  • Diophantine Analysis , 1st Edition, New York: John Wiley & Sons, Inc., pp. 118, 1915.
  • The Theory of Relativity . 2nd edition, New York: John Wiley & Sons, Inc., pp. 112, 1920.
  • A Debate on the Theory of Relativity , with an introduction by William Lowe Bryan, Chicago: Open Court Pub. Co., pp. 154, 1927.
  • The Calculus , Robert D. Carmichael and James H. Weaver, Boston / New York: Ginn & Company, pp. 345, 1927.
  • The Logic of Discovery , Chicago / London: Open Court Publishing Co., pp. 280, 1930; Reprinted by Arno Press, New York, 1975
  • Mathematical Tables and Formulas , Robert D. Carmichael and Edwin R. Smith, Boston: Ginn & Company, pp. 269, 1931; Reprint from Dover Publications, Inc., New York, 1962.
  • The Calculus , revised edition by Robert D. Carmichael, James H. Weaver and Lincoln La Paz, Boston / New York: Ginn & Company, pp. 384, 1937.
  • Introduction to the Theory of Groups of Finite Order , Boston / New York: Ginn & Company, pp. 447, 1937; Reprint from Dover Publications, Inc., New York, 1956.

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