Jump to content
 







Main menu
   


Navigation  



Main page
Contents
Current events
Random article
About Wikipedia
Contact us
Donate
 




Contribute  



Help
Learn to edit
Community portal
Recent changes
Upload file
 








Search  

































Create account

Log in
 









Create account
 Log in
 




Pages for logged out editors learn more  



Contributions
Talk
 



















Contents

   



(Top)
 


1 Personal life and family  





2 Education and career  





3 Work on relativity  





4 Publications  



4.1  Relativity  





4.2  Diophantine approximations  





4.3  Mathematical (posthumous)  







5 See also  





6 Notes and references  





7 External links  



7.1  Archival collections  
















Hermann Minkowski






Afrikaans
العربية
Azərbaycanca
تۆرکجه

Беларуская
Български
Català
Čeština
Dansk
Deutsch
Eesti
Ελληνικά
Español
Esperanto
Euskara
فارسی
Français

Հայերեն
ि
Hrvatski
Bahasa Indonesia
Italiano
עברית

Kreyòl ayisyen
Кыргызча
Latina
Latviešu
Lietuvių
Magyar
Македонски
Malagasy


مصرى
Nederlands

Norsk bokmål
Norsk nynorsk

Piemontèis
Polski
Português
Română
Русский
Scots
Simple English
Slovenčina
Slovenščina
Српски / srpski
Srpskohrvatski / српскохрватски
Suomi
Svenska
ி

Türkçe
Українська
Tiếng Vit


 

Edit links
 









Article
Talk
 

















Read
Edit
View history
 








Tools
   


Actions  



Read
Edit
View history
 




General  



What links here
Related changes
Upload file
Special pages
Permanent link
Page information
Cite this page
Get shortened URL
Download QR code
Wikidata item
 




Print/export  



Download as PDF
Printable version
 




In other projects  



Wikimedia Commons
Wikiquote
Wikisource
 
















Appearance
   

 






From Wikipedia, the free encyclopedia
 


Hermann Minkowski
Born(1864-06-22)22 June 1864
Died12 January 1909(1909-01-12) (aged 44)
CitizenshipRussian Empire[1] or Germany
Alma materAlbertina University of Königsberg
Known for
  • Minkowski content
  • Minkowski diagram
  • Minkowski's question-mark function
  • Minkowski space
  • Work on the Diophantine approximations
  • SpouseAuguste Adler
    Children2
    Scientific career
    FieldsMathematics, physics, philosophy
    InstitutionsUniversity of Göttingen and ETH Zurich
    Doctoral advisorFerdinand von Lindemann
    Doctoral studentsConstantin Carathéodory
    Louis Kollros
    Dénes Kőnig
    Signature

    Hermann Minkowski (/mɪŋˈkɔːfski, -ˈkɒf-/ ming-KAWF-skee, -⁠KOF-;[2] German: [mɪŋˈkɔfski]; 22 June 1864 – 12 January 1909) was a mathematician and professor at Königsberg, Zürich and Göttingen, described variously as German,[3][4][5] Polish,[6][7][8] or Lithuanian-German,[9] or Russian.[1] He created and developed the geometry of numbers and elements of convex geometry, and used geometrical methods to solve problems in number theory, mathematical physics, and the theory of relativity.

    Minkowski is perhaps best known for his foundational work describing space and time as a four-dimensional space, now known as "Minkowski spacetime", which facilitated geometric interpretations of Albert Einstein's special theory of relativity (1905).

    Personal life and family[edit]

    Hermann Minkowski was born in the town of Aleksota, the Suwałki Governorate, the Kingdom of Poland, since 1864 part of the Russian Empire, to Lewin Boruch Minkowski, a merchant who subsidized the building of the choral synagogue in Kovno,[10][11][12] and Rachel Taubmann, both of Jewish descent.[13] Hermann was a younger brother of the medical researcher Oskar (born 1858).[14] In different sources Minkowski's nationality is variously given as German,[3][4][5] Polish,[6][7][8] or Lithuanian-German,[9] or Russian.[1]

    To escape Jewish persecution in the Russian Empire, the family moved to Königsberg in 1872,[15] where the father became involved in rag export and later in manufacture of mechanical clockwork tin toys (he operated his firm Lewin Minkowski & Son with his eldest son Max).[16]

    Minkowski studied in Königsberg and taught in Bonn (1887–1894), Königsberg (1894–1896) and Zürich (1896–1902), and finally in Göttingen from 1902 until his death in 1909. He married Auguste Adler in 1897 with whom he had two daughters; the electrical engineer and inventor Reinhold Rudenberg was his son-in-law.

    Minkowski died of appendicitis in Göttingen on 12 January 1909. David Hilbert's obituary of Minkowski illustrates the deep friendship between the two mathematicians (translated):

    Since my student years Minkowski was my best, most dependable friend who supported me with all the depth and loyalty that was so characteristic of him. Our science, which we loved above all else, brought us together; it seemed to us a garden full of flowers. In it, we enjoyed looking for hidden pathways and discovered many a new perspective that appealed to our sense of beauty, and when one of us showed it to the other and we marveled over it together, our joy was complete. He was for me a rare gift from heaven and I must be grateful to have possessed that gift for so long. Now death has suddenly torn him from our midst. However, what death cannot take away is his noble image in our hearts and the knowledge that his spirit continues to be active in us.

    Max Born delivered the obituary on behalf of the mathematics students at Göttingen.[17]

    The main-belt asteroid 12493 Minkowski and M-matrices are named in Minkowski's honor.[18]

    Education and career[edit]

    Minkowski in 1883, at the time of being awarded the Mathematics Prize of the French Academy of Sciences

    Minkowski was educated in East Prussia at the Albertina University of Königsberg, where he earned his doctorate in 1885 under the direction of Ferdinand von Lindemann. In 1883, while still a student at Königsberg, he was awarded the Mathematics Prize of the French Academy of Sciences for his manuscript on the theory of quadratic forms. Due to the very young age of 18, which was unheard of in the mathematics community, and his obscurity as a mathematician at the time, his sharing the award with eminent English mathematician Henry Smith (who was certainly a great deal more famous than Hermann and to whom the prize was awarded posthumously) caused severe unrest among English mathematicians. The prize committee, despite the numerous complaints, never changed their decision. He also became a friend of another renowned mathematician, David Hilbert. His brother, Oskar Minkowski (1858–1931), was a well-known physician and researcher.[15]

    Minkowski taught at the universities of Bonn, Königsberg, Zürich, and Göttingen. At the Eidgenössische Polytechnikum, today the ETH Zurich, he was one of Einstein's teachers.

    Minkowski explored the arithmetic of quadratic forms, especially concerning n variables, and his research into that topic led him to consider certain geometric properties in a space of n dimensions. In 1896, he presented his geometry of numbers, a geometrical method that solved problems in number theory. He is also the creator of the Minkowski Sausage[19] and the Minkowski cover[20] of a curve.

    In 1902, he joined the Mathematics Department of Göttingen and became a close colleague of David Hilbert, whom he first met at university in Königsberg. Constantin Carathéodory was one of his students there.

    Work on relativity[edit]

    By 1908 Minkowski realized that the special theory of relativity, introduced by his former student Albert Einstein in 1905 and based on the previous work of Lorentz and Poincaré, could best be understood in a four-dimensional space, since known as the "Minkowski spacetime", in which time and space are not separated entities but intermingled in a four-dimensional space–time, and in which the Lorentz geometry of special relativity can be effectively represented using the invariant interval (see History of special relativity).

    The mathematical basis of Minkowski space can also be found in the hyperboloid modelofhyperbolic space already known in the 19th century, because isometries (or motions) in hyperbolic space can be related to Lorentz transformations, which included contributions of Wilhelm Killing (1880, 1885), Henri Poincaré (1881), Homersham Cox (1881), Alexander Macfarlane (1894) and others (see History of Lorentz transformations).

    The beginning part of his address called "Space and Time" delivered at the 80th Assembly of German Natural Scientists and Physicians (21 September 1908) is now famous:

    The views of space and time which I wish to lay before you have sprung from the soil of experimental physics, and therein lies their strength. They are radical. Henceforth space by itself, and time by itself, are doomed to fade away into mere shadows, and only a kind of union of the two will preserve an independent reality.

    Publications[edit]

    Relativity[edit]

    Diophantine approximations[edit]

    Mathematical (posthumous)[edit]

    See also[edit]

  • Abraham–Minkowski controversy
  • Brunn–Minkowski theorem
  • Hasse–Minkowski theorem
  • Hermite–Minkowski theorem
  • Minkowski addition
  • Minkowski (crater)
  • Minkowski distance
  • Minkowski functional
  • Minkowski inequality
  • Minkowski model
  • Minkowski plane
  • Minkowski problem
  • Minkowski problem for polytopes
  • Minkowski's second theorem
  • Minkowski space
  • Minkowski's bound
  • Minkowski's theorem in geometry of numbers
  • Minkowski–Hlawka theorem
  • Minkowski–Steiner formula
  • Smith–Minkowski–Siegel mass formula
  • Proper time
  • Separating axis theorem
  • Taxicab geometry
  • World line
  • Notes and references[edit]

  • ^ a b "Hermann Minkowski German mathematician". Encyclopædia Britannica. Retrieved 6 January 2021.
  • ^ a b Gregersen, Erik, ed. (2010). The Britannica Guide to Relativity and Quantum Mechanics (1st ed.). New York: Britannica Educational Pub. Association with Rosen Educational Services. p. 201. ISBN 978-1-61530-383-0.
  • ^ a b Bracher, Katherine; et al., eds. (2007). Biographical Encyclopedia of Astronomers (Online ed.). New York: Springer. p. 787. ISBN 978-0-387-30400-7.
  • ^ a b Hayles, N. Katherine (1984). The Cosmic Web: Scientific Field Models and Literary Strategies in the Twentieth Century. Cornell University Press. p. 46. ISBN 978-0-8014-1742-9.
  • ^ a b Falconer, K. J. (2013). Fractals: A Very Short Introduction. Oxford University Press. p. 119. ISBN 978-0-19-967598-2.
  • ^ a b Bardon, Adrian (2013). A Brief History of the Philosophy of Time. Oxford University Press. p. 68. ISBN 978-0-19-930108-9.
  • ^ a b Safra, Jacob E.; Yeshua, Ilan (2003). Encyclopædia Britannica (New ed.). Chicago, Ill.: Encyclopædia Britannica. p. 665. ISBN 978-0-85229-961-6.
  • ^ А. И. Хаеш (1873). "Коробочное делопроизводство как источник сведений о жизни еврейских обществ и их персональном составе" (in Russian). ...купец Левин Минковский подарил молитвенному обществу при Ковенском казённом еврейском училище начатую им... постройкой молитвенную школу вместе с плацем, с тем, чтобы общество это озаботилась окончанием таковой постройки. Общество, располагая средствами добровольных пожертвований, возвело уже это здание под крышу, но затем средства сии истощились...
  • ^ "Kaunas: dates and facts. Electronic directory".
  • ^ "Box-Tax Paperwork Records". Archived from the original on 8 January 2015. Kovno. In 1873 the merchant (kupez), Levin Minkovsky, gave (as a gift) to the prayer association of the Kovno state Jewish school a lot with an ongoing construction of a prayer school that (the construction) he had started so that the association would take care of completing the construction. The association, having some funds from voluntary contributions, had built the structure up to the roof, but then, ran out of money
  • ^ "Minkowski biography".
  • ^ Oskar Minkowski (1858–1931). Archived 29 December 2013 at the Wayback Machine. The Jewish genealogy site JewishGen.org (Lithuania database, registration required) contains the birth record in the Kovno rabbinical books of Hermann's younger brother Tuvia in 1868 to Boruch Yakovlevich Minkovsky and his wife Rakhil Isaakovna Taubman.
  • ^ a b "Historical note: Oskar Minkowski (1858–1931). An outstanding master of diabetes research". 2006.
  • ^ Report of the Federal Security Agency (p. 183); Tyra lithographed tin toy dog; Rudolph Leo Bernhard Minkowski: A Biographical Memoir.
  • ^ Greenspan, Nancy Thorndike (2005). The End of the Certain World. The Life and Science of Max Born: The Nobel Physicist Who Ignited the Quantum Revolution. Basic Books. pp. 42–43. ISBN 9780738206936.
  • ^ Schmadel, Lutz D. (2007). "(12493) Minkowski". Dictionary of Minor Planet Names – (12493) Minkowski. Springer Berlin Heidelberg. p. 783. doi:10.1007/978-3-540-29925-7_8614. ISBN 978-3-540-00238-3.
  • ^ Weisstein, Eric W. "Minkowski Sausage". MathWorld. Retrieved 16 January 2023.
  • ^ Weisstein, Eric W. "Minkowski Cover". MathWorld. Retrieved 16 January 2023.
  • ^ Dickson, L. E. (1909). "Review: Diophantische Approximationen. Eine Einführung in die Zahlentheorie von Hermann Minkowski" (PDF). Bull. Amer. Math. Soc. 15 (5): 251–252. doi:10.1090/s0002-9904-1909-01753-7.
  • ^ Dickson, L. E. (1914). "Review: Geometrie der Zahlen von Hermann Minkowski". Bull. Amer. Math. Soc. 21 (3): 131–132. doi:10.1090/s0002-9904-1914-02597-2.
  • ^ Wilson, E. B. (1915). "Review: Gesammelte Abhandlungen von Hermann Minkowski". Bull. Amer. Math. Soc. 21 (8): 409–412. doi:10.1090/s0002-9904-1915-02658-3.
  • External links[edit]

    Archival collections[edit]


    Retrieved from "https://en.wikipedia.org/w/index.php?title=Hermann_Minkowski&oldid=1227618607"

    Categories: 
    Hermann Minkowski
    1864 births
    1909 deaths
    Scientists from Kaunas
    People from Suwałki Governorate
    Lithuanian Jews
    Emigrants from the Russian Empire to the German Empire
    German people of Lithuanian-Jewish descent
    German people of Polish-Jewish descent
    19th-century German mathematicians
    20th-century German mathematicians
    Geometers
    German number theorists
    German relativity theorists
    University of Königsberg alumni
    Academic staff of the University of Königsberg
    Academic staff of ETH Zurich
    Academic staff of the University of Bonn
    Academic staff of the University of Göttingen
    Deaths from appendicitis
    Hidden categories: 
    CS1 Russian-language sources (ru)
    Webarchive template wayback links
    Articles with short description
    Short description is different from Wikidata
    Use dmy dates from April 2017
    Biography with signature
    Articles with hCards
    Pages with German IPA
    Commons category link from Wikidata
    Articles with FAST identifiers
    Articles with ISNI identifiers
    Articles with VIAF identifiers
    Articles with WorldCat Entities identifiers
    Articles with BNF identifiers
    Articles with BNFdata identifiers
    Articles with CANTICN identifiers
    Articles with GND identifiers
    Articles with J9U identifiers
    Articles with LCCN identifiers
    Articles with Libris identifiers
    Articles with NKC identifiers
    Articles with NLA identifiers
    Articles with NTA identifiers
    Articles with PLWABN identifiers
    Articles with PortugalA identifiers
    Articles with CINII identifiers
    Articles with MATHSN identifiers
    Articles with MGP identifiers
    Articles with Scopus identifiers
    Articles with ZBMATH identifiers
    Articles with DTBIO identifiers
    Articles with Trove identifiers
    Articles with HDS identifiers
    Articles with SNAC-ID identifiers
    Articles with SUDOC identifiers
     



    This page was last edited on 6 June 2024, at 20:49 (UTC).

    Text is available under the Creative Commons Attribution-ShareAlike License 4.0; additional terms may apply. By using this site, you agree to the Terms of Use and Privacy Policy. Wikipedia® is a registered trademark of the Wikimedia Foundation, Inc., a non-profit organization.



    Privacy policy

    About Wikipedia

    Disclaimers

    Contact Wikipedia

    Code of Conduct

    Developers

    Statistics

    Cookie statement

    Mobile view



    Wikimedia Foundation
    Powered by MediaWiki