Mathematician:Robert Daniel Carmichael
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Mathematician
American mathematician who contributed mainly to the fields of differential equations and number theory.
Nationality
American
History
- Born: 1 March 1879, Goodwater, Coosa County, Alabama, USA
- Died: 2 May 1967, Merriam, Northeast Johnson County, Kansas, USA
Theorems and Definitions
- Carmichael Numbers
- Carmichael's Theorem
- Carmichael Function
- Lucas-Carmichael Number (with François Édouard Anatole Lucas)
Results named for Robert Daniel Carmichael can be found here.
Definitions of concepts named for Robert Daniel Carmichael can be found here.
Publications
- 1905: Six Propositions on Prime Numbers
- 1906: Note on multiply perfect numbers
- 1906: Multiply perfect numbers of three different primes
- 1906: Multiply Perfect Odd Numbers with Three Prime Factors
- 1906: On the n-Section of an Angle
- 1906: Note on the Maximum Indicator of Certain Odd Numbers
- 1910: Note on a New Number Theory Function (Bull. Amer. Math. Soc. Vol. 16: pp. 232 – 238)
- 1911: Linear Difference Equations and their Analytic Solutions Linear Difference Equations and their Analytic Solutions (PhD thesis)
- 1912: On the Theory of Relativity: Analysis of the Postulates
- 1913: On the Theory of Relativity: Philosophical Aspects
- 1913: The Theory of Relativity
- 1913: On the numerical factors of the arithmetic forms $\alpha^n + \beta^n$ (Ann. Math. Vol. 15, no. 1/4: pp. 30 – 70) www.jstor.org/stable/1967797
- 1914: The Theory of Numbers
- 1915: Diophantine Analysis
- 1920: The Theory of Relativity (2nd edition)
- 1927: A Debate on the Theory of Relativity
- 1927: The Calculus (with James H. Weaver)
- 1930: The Logic of Discovery
- 1930: Plane and Spherical Trigonometry (with Edwin R. Smith)
- 1931: Mathematical Tables and Formulas (with Edwin R. Smith)
- 1937: The Calculus (revised edition) (with James H. Weaver and Lincoln La Paz)
- 1937: Introduction to the Theory of Groups of Finite Order