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











Comments

Post a Comment

Popular posts from this blog

Information security

Image
This article is part of a series on Information security Related security categories Internet security Cyberwarfare Computer security Mobile security Network security Threats Computer crime Vulnerability Eavesdropping Malware Spyware Ransomware Trojans Viruses Worms Rootkits Bootkits Keyloggers Screen scrapers Exploits Backdoors Logic bombs Payloads Denial of service Defenses Computer access control Application security Antivirus software Secure coding Secure by default Secure by design Secure operating systems Authentication Multi-factor authentication Authorization Data-centric security Encryption Firewall Intrusion detection system Mobile secure gateway Runtime application self-protection (RASP) v t e Information security , sometimes shortened to InfoSec , is the practice of preventing unauthorized access, use, disclosure, disruption, modification, inspection, recording or destruction of information. Th...
Read more

Lambak Kiri

Image
For Lambak Kiri public housing area, see Lambak Kiri Landless Indigenous Citizens' Housing Scheme. Village in Brunei-Muara, Brunei Lambak Kiri Village Location in Brunei Coordinates: 4°59′26″N 114°57′04″E  /  4.990472°N 114.951114°E  / 4.990472; 114.951114 Coordinates: 4°59′26″N 114°57′04″E  /  4.990472°N 114.951114°E  / 4.990472; 114.951114 Country Brunei District Brunei-Muara Mukim Berakas A Government  • Village head Hamdani Omar Postcode BB1214 Lambak Kiri is a populated place in Brunei-Muara District, Brunei. It is officially a village subdivision under Berakas A, a mukim in the district. Lambak Kiri may also refer to the greater area which includes the Lambak Kiri public housing area of the Landless Indigenous Citizens' Housing Scheme (Malay: Skim Tanah Kurnia Rakyat Jati ), although the latter is a separate subdivision. Contents 1 Name 2 Administration 3 See also 4 References Name ...
Read more

章鱼与海女图

Image
本条目 可参照英語維基百科相應條目来扩充 。 （2014/5/25） 若您熟悉来源语言和主题，请协助参考外语维基扩充条目。请勿直接提交机械翻译，也不要翻译不可靠、低品质内容。依版权协议，译文需在编辑摘要注明来源，或于讨论页顶部标记 {{Translated page}} 标签。 本条目 需要擴充。 （2013年8月15日） 请協助改善这篇條目，更進一步的信息可能會在討論頁或扩充请求中找到。请在擴充條目後將此模板移除。 《 章鱼与海女 》（日语： 蛸と海女 ／ たことあま   Tako to ama ）是一幅由日本畫家葛饰北斋创作的浮世绘，出自1814年（文化4年）出版的艳本《喜能会之故真通》（日语： 喜能会之故真通 ／ きのえのこまつ   Kinoe no Komatsu ）。畫中有兩隻章鱼以觸手攻擊一名採珠的海女，並進行擬似戀獸癖的交媾行為。作品尺寸为6½" × 8¾" （16.51 cm × 22.23 cm）。 [1] 在此之前的类似作品还有北尾重政的艳本《謡曲色番組》及勝川春潮的艳本《艳本千夜多女志》等，有被北斋作为参考的可能性。 《章鱼与海女图》有不同英文翻译，一般称The Dream of the Fisherman's Wife，又作Girl Diver and Octopi、Diver and Two Octopi，Richard Douglas Lane称其为 Girl Diver and Octopi [2] ，Mathi Forrer 称其为 Pearl Diver and Two Octopi [3] ，Danielle Talerico 称其为 Diver and Two Octopi 。 [4] 目录 1 作品介绍 1.1 画中对话 1.2 解释 2 评价 3 影响 3.1 模仿作品 4 另见 5 参考来源 6 外部連結 作品介绍 画中对话 原文 译文 大蛸： いつぞハいつぞハとねらいすましてゐたかいがあつて、けふといふけふ、とうとうとらまへたア。てもむつくりとしたいいぼぼだ。いもよりハなをこうぶつだ。サアサア、すつてすつてすいつくして...
Read more