Robert Fricke




































Robert Fricke
Born
(1861-09-24)24 September 1861

Helmstedt, German Empire
Died 18 July 1930(1930-07-18) (aged 68)

Bad Harzburg, Weimar Republic
Alma mater Leipzig University
Known for Complex analysis
Scientific career
Fields Mathematics
Institutions
University of Kiel,
University of Göttingen,
Braunschweig University of Technology (1894–1930)
Doctoral advisor Felix Klein


Karl Emanuel Robert Fricke (24 September 1861 – 18 July 1930) was a German mathematician, known for his work in complex analysis, especially on elliptic, modular and automorphic functions. He was one of the main collaborators of Felix Klein, with whom he produced two classic, two-volume monographs on elliptic modular functions and automorphic functions.


In 1893 in Chicago, his paper Die Theorie der automorphen Functionen und die Arithmetik was read (but not by Fricke) at the International Mathematical Congress held in connection with the World's Columbian Exposition.[1] From 1894 to 1930 Fricke was professor of Higher Mathematics at the Technische Hochschule Carolo-Wilhelmina in Braunschweig.




Contents






  • 1 See also


  • 2 Bibliography


  • 3 References


  • 4 External links





See also


  • Fricke involution


Bibliography




  • Fricke, Robert; Klein, Felix (1890), Vorlesungen über die Theorie der elliptischen Modulfunctionen (Volume 1), B. G. Teubner, Leipzig.mw-parser-output cite.citation{font-style:inherit}.mw-parser-output .citation q{quotes:"""""""'""'"}.mw-parser-output .citation .cs1-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/6/65/Lock-green.svg/9px-Lock-green.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output .citation .cs1-lock-limited a,.mw-parser-output .citation .cs1-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/d/d6/Lock-gray-alt-2.svg/9px-Lock-gray-alt-2.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output .citation .cs1-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/a/aa/Lock-red-alt-2.svg/9px-Lock-red-alt-2.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registration{color:#555}.mw-parser-output .cs1-subscription span,.mw-parser-output .cs1-registration span{border-bottom:1px dotted;cursor:help}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Wikisource-logo.svg/12px-Wikisource-logo.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output code.cs1-code{color:inherit;background:inherit;border:inherit;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;font-size:100%}.mw-parser-output .cs1-visible-error{font-size:100%}.mw-parser-output .cs1-maint{display:none;color:#33aa33;margin-left:0.3em}.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registration,.mw-parser-output .cs1-format{font-size:95%}.mw-parser-output .cs1-kern-left,.mw-parser-output .cs1-kern-wl-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right,.mw-parser-output .cs1-kern-wl-right{padding-right:0.2em}


  • Fricke, Robert; Klein, Felix (1892), Vorlesungen über die Theorie der elliptischen Modulfunctionen (Volume 2), B. G. Teubner, Leipzig


  • Fricke, Robert; Klein, Felix (1897), Vorlesungen über die Theorie der automorphen Functionen. Erster Band; Die gruppentheoretischen Grundlagen. (in German), Leipzig: B. G. Teubner, ISBN 978-1-4297-0551-6, JFM 28.0334.01
    [2]


  • Fricke, Robert; Klein, Felix (1912), Vorlesungen über die Theorie der automorphen Functionen. Zweiter Band: Die funktionentheoretischen Ausführungen und die Anwendungen. 1. Lieferung: Engere Theorie der automorphen Funktionen. (in German), Leipzig: B. G. Teubner., ISBN 978-1-4297-0552-3, JFM 32.0430.01
    [2]


  • Fricke, Robert (1915), Die elliptischen Funktionen und ihre Anwendungen. Erster Band: Die funktionentheoretischen und analytischen Grundlagen (in German), B. G. Teubner;[3]Reprint, Springer Verlag, 2011, ISBN 3642195563


  • Fricke, Robert (1922), Die elliptischen Funktionen und ihre Anwendungen. Zweiter Band: Die algebraischen Ausführungen (in German), B. G. Teubner;[4]Reprint, Springer Verlag, 2011, ISBN 3642195601



References





  1. ^ "Die Theorie der automorphen Functionen und die Arithmetik von Robert Fricke". Mathematical papers read at the International Mathematical Congress held in connection with the World's Columbian Exposition. NY: Macmillan as publisher for the AMS. 1896. pp. 72–91.


  2. ^ ab Hutchinson, J. I. (1903). "Review: Vorlesungen über die Theorie der automorphen Functionen, by Robert Fricke and Felix Klein". Bull. Amer. Math. Soc. 9 (9): 470–492. doi:10.1090/s0002-9904-1903-01020-9.


  3. ^ Dowling, L. Wayland (1917). "Die elliptischen Funktionen und ihre Anwendungen. Erster Band". Bull. Amer. Math. Soc. 23 (7): 319–322. doi:10.1090/s0002-9904-1917-02950-3.


  4. ^ Dowling, L. Wayland (1922). "Die elliptischen Funktionen und ihre Anwendungen. Zweiter Band". Bull. Amer. Math. Soc. 29 (5): 234. doi:10.1090/s0002-9904-1923-03712-9.




External links




  • O'Connor, John J.; Robertson, Edmund F., "Robert Fricke", MacTutor History of Mathematics archive, University of St Andrews.


  • Robert Fricke at the Mathematics Genealogy Project











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