请输入您要查询的百科知识:

 

词条 Gregorio Ricci-Curbastro
释义

  1. Biography

     Youth  Studies on absolute differential calculus   Influences   Recognition 

  2. Publications

  3. See also

  4. Notes

  5. References

  6. External links

{{Infobox scientist
| name = Gregorio Ricci-Curbastro
|image = Ricci-Curbastro.jpg
| birth_date = {{Birth date|1853|01|12|df=y}}
| birth_place = Lugo di Romagna
| death_date = {{Death date and age|1925|08|06|1853|01|12|df=y}}
| death_place = Bologna
| nationality = Italian
| fields = Mathematics
| workplaces =
| alma_mater = Scuola Normale Superiore di Pisa
| doctoral_advisor = Ulisse Dini
Enrico Betti
| doctoral_students = Tullio Levi-Civita
| known_for = Tensor calculus
Ricci calculus
| awards =
}}

Gregorio Ricci-Curbastro ({{IPA-it|ɡreˈɡɔːrjo ˈrittʃi kurˈbastro|lang}}; 12{{nbsp}}January {{nobr|1853{{snd}}6{{nbsp}}August}} 1925) was an Italian mathematician born in Lugo di Romagna. He is most famous as the inventor of tensor calculus, but also published important works in other fields.

With his former student Tullio Levi-Civita, he wrote his most famous single publication,[1] a pioneering work on the calculus of tensors, signing it as Gregorio Ricci. This appears to be the only time that Ricci-Curbastro used the shortened form of his name in a publication, and continues to cause confusion.

Ricci-Curbastro also published important works in other fields, including a book on higher algebra and infinitesimal analysis,[2] and papers on the theory of real numbers, an area in which he extended the research begun by Richard Dedekind.[3]

Biography

Youth

Completing privately his high school studies at only sixteen years of age he

enrolled on the course of philosophy-mathematics at Rome University (1869). The following year the Papal State fell and so Gregorio was called by his father to the city of his birth, Lugo. Subsequently he attended courses at Bologna, but after only one year he enrolled at the Scuola Normale Superiore di Pisa.

In 1875, he graduated in Pisa in Physical Sciences and mathematics with a thesis on differential equations, entitled “On Fuches’s Research Concerning Linear Differential Equations”. During his various travels he was a student

of mathematicians of the calibre of Enrico Betti, Eugenio Beltrami, Ulisse Dini and

Felix Klein.

Studies on absolute differential calculus

In 1877 Ricci-Curbastro obtained a scholarship at the TechnischeHochschule of Munich, Bavaria, and he later worked as an assistant of

Ulisse Dini, his teacher.

In 1880 he became a lecturer of mathematics at the University of Padua where he

dealt with Riemannian geometry and differential quadratic forms.

He formed a research group in which Tullio Levi-Civita worked, with whom he wrote

the fundamental treatise on absolute differential calculus (also known as Ricci

calculus) with coordinates or tensor calculus on Riemannian manifold, which then

became the lingua franca of the subsequent theory of Einstein's general relativity.

In fact absolute differential calculus had a crucial role in developing the theory,

as is shown in a letter written by Albert Einstein to Ricci-Curbastro's nephew. In this context Ricci-Curbastro identified the so-called

Ricci tensor which would have a crucial role within that theory.

Influences

The advent of tensor calculus in dynamics goes back to Lagrange, who originated the general treatment of a dynamical system, and to Riemann, who was the first to think about geometry in an arbitrary number of dimensions. He was also influenced by the works of Christoffel and of Lipschitz on the quadratic forms. In fact, it was essentially Christoffel’s idea of covariant differentiation[4] that allowed Ricci-Curbastro to make the greatest progress.[5]

Recognition

Ricci-Curbastro received many honours for his contributions.

He is honoured by mentions in various Academies amongst which are:

  • The Veneto Institute of Science - Istituto veneto di scienze - letters and articles (from 1892), of which he was then president from 1916 to 1919.
  • The Lincei Academy - Accademia dei Lincei - of which he was a member from 1899.
  • The Academy of Padua - Accademia di Padova - from 1905.
  • The Science Academy of Turin - Accademia delle Scienze di Torino - from 1918.
  • The Galileian Academy of Science - Accademia Galileiana di Scienze, Lettere ed Arti - letters and articles, of which he was then president from 1920 to 1922.
  • The Academy of Sciences of the Institute of Bologna - Reale Accademia di Bologna - from 1922.
  • The Pontifical Academy of Sciences - Accademia Pontificia delle Scienze - from 1925.

He participated actively in political life, both in his native town and in Padua, and contributed with his projects to the Ravenna-area land drainage and the Lugo aqueduct.

An asteroid, 13642 Ricci, is named after him.

Publications

  • {{citation|last1 = Ricci-Curbastro |first1=Gregorio|title=Lezioni sulla teoria delle superficie|year = 1898|publisher = Verona: Drucker|url=http://resolver.library.cornell.edu/math/1934304|language=italian}}[6]

See also

  • Ricci calculus
  • Ricci curvature
  • Ricci flow

Notes

1. ^{{citation|title=Méthodes de calcul différentiel absolu et leurs applications|last=Ricci|first=Gregorio|last2=Levi-Civita|first2=Tullio|journal=Mathematische Annalen|publisher=Springer|volume=54|issue=1–2|date=March 1900|pages=125–201|doi=10.1007/BF01454201|url=http://www.springerlink.com/content/u21237446l22rgg7/fulltext.pdf}}
2. ^{{citation|title=Lezioni di Analisi algebrica ed infinitesimale|last=Ricci-Curbastro|first=Gregorio|publisher= Padova: Tip. Universitaria|edition= 1926|year=1918}}
3. ^{{citation|title=Della teoria dei numeri reali secondo il concetto di Dedekind|last=Ricci-Curbastro|first=Gregorio|journal=Gior. di Matem.|volume=35|pages=22–74|year=1897}}
4. ^{{citation|title=Ueber die Transformation der homogenen Differentialausdrücke zweiten Grades|last=Christoffel|first=E.B.|author-link=Elwin Bruno Christoffel|journal=Journal für die reine und angewandte Mathematik|volume=B. 70|pages=46–70|year=1869|url=http://gdz.sub.uni-goettingen.de/dms/load/img/?PPN=GDZPPN002153882&IDDOC=266356}}
5. ^{{citation|title=Sulla derivazione covariante ad una forma quadratica differenziale|last=Ricci-Curbastro|first=Gregorio|journal=Rend. Acc. Lincei|volume=3|issue=4|year=1887|pages=15–18}}
6. ^{{cite journal|author=James, George Oscar|title=Review: Lezioni sulla Teoria delle Superficie, by Gregorio Ricci|journal=Bull. Amer. Math. Soc.|year=1899|volume=7|issue=8|pages=359–360|doi=10.1090/s0002-9904-1901-00816-6|url=http://www.ams.org/journals/bull/1901-07-08/S0002-9904-1901-00816-6/S0002-9904-1901-00816-6.pdf}}

References

  • {{it}} Tonolo, Angelo Commemorazione di Gregorio Ricci-Curbastro nel primo centenario della nascita Rendiconti del Seminario Matematico della Università di Padova, 23 pp. 1–24 (1954).

External links

  • {{MathGenealogy |id=59068}}
  • {{MacTutor Biography|id=Ricci-Curbastro}}
{{Authority control}}{{DEFAULTSORT:Ricci-Curbastro, Gregorio}}

8 : 1853 births|1925 deaths|People from Lugo, Emilia-Romagna|Italian Roman Catholics|Differential geometers|19th-century Italian mathematicians|20th-century Italian mathematicians|Italian mathematicians

随便看

 

开放百科全书收录14589846条英语、德语、日语等多语种百科知识,基本涵盖了大多数领域的百科知识,是一部内容自由、开放的电子版国际百科全书。

 

Copyright © 2023 OENC.NET All Rights Reserved
京ICP备2021023879号 更新时间:2024/9/21 20:22:02