Sun, Qinghua (Author)
Bao, Fangxun (Author)
The vector theory is one of the important achievements of the domain of mathematics and physics in the second half of the 19th century. Based upon systematically analyzing the work of Gibbs, this paper discusses J. W. Gibbs' significant contributions to vector theory and the origin of his thoughts. The idea of quarternions is the base of vector theory which J. W. Gibbs created. Maxwell's gentle criticism and discriminating employment of quarternions methods probably did not go unnoticed by J. W. Gibbs, so the times were for J. W. Gibbs, who made the most important and key step by his insight and ingenuity, and created the modern vector analysis system. Successful application of vector theory in physics and astronomy enabled the theory to develop rapidly and spread widely.
...More
Article
Caparrini, Sandro;
(2002)
The Discovery of the Vector Representation of Moments and Angular Velocity
(/isis/citation/CBB000200221/)
Book
Judith R. Goodstein;
(2018)
Einstein's Italian Mathematicians: Ricci, Levi-civita, and the Birth of General Relativity
(/isis/citation/CBB788145002/)
Article
Dell'Aglio, Luca;
Emilia Florio;
(2021)
Vector Calculus and Teaching Geometry in Secondary School: the Case of the Italian Vector School
(/isis/citation/CBB859045521/)
Article
Photis Dais;
(2021)
Impact of Gibbs’ and Duhem’s approaches to thermodynamics on the development of chemical thermodynamics
(/isis/citation/CBB022163007/)
Article
Lavis, D. A.;
(2005)
Boltzmann and Gibbs: An Attempted Reconciliation
(/isis/citation/CBB000771639/)
Article
Alessio Rocci;
(2021)
Back to the roots of vector and tensor calculus: Heaviside versus Gibbs
(/isis/citation/CBB915567028/)
Chapter
Diestel, Joe;
(2014)
Grothendieck and Banach Space Theory
(/isis/citation/CBB001500417/)
Article
Dell'Aglio, Luca;
(1997)
Sul concetto di tensore in Ricci-Curbastro
(/isis/citation/CBB000077008/)
Article
Aleksandrova, N. V.;
(1982)
Vliianie fiziki na formirovanie vektornogo ischisleniia. (Influence of physics on the establishment of vector calculus.)
(/isis/citation/CBB000020504/)
Article
Smith, G. C.;
(1982)
Matthew O'Brien's anticipation of vectorial mathematics
(/isis/citation/CBB000021683/)
Article
Scholz, Erhard;
(1984)
Hermann Grassmanns Analysis in Vektorräumen
(/isis/citation/CBB000046182/)
Article
Hewitt, Edwin;
Hewitt, Robert E.;
(1979)
The Gibbs-Wilbraham phenomenon: An episode in Fourier analysis
(/isis/citation/CBB000002008/)
Chapter
Klein, Martin J.;
(1987)
Some historical remarks on the statistical mechanics of Josiah Willard Gibbs
(/isis/citation/CBB000051794/)
Article
Daub, Edward E.;
(1976)
Gibbs' phase rule: A centenary retrospect
(/isis/citation/CBB000021969/)
Article
Klein, Martin J.;
(1978)
The early papers of J. Willard Gibbs: A transformation of thermodynamics
(/isis/citation/CBB000008782/)
Article
Moore, Carl E.;
Smolinski, Alfred von;
Jaselskis, Bruno;
(2002)
The Ostwald-Gibbs Correspondence: An Interesting Component in the History of The Energy Concept
(/isis/citation/CBB000740541/)
Chapter
Deltete, Robert J.;
(1995)
Gibbs and the energeticists
(/isis/citation/CBB000039039/)
Article
Hornix, W. J.;
(1978)
The thermostatics of J. Willard Gibbs and 19th-century physical chemistry
(/isis/citation/CBB000007983/)
Thesis
Cutrufello, Gabriel J.;
(2012)
Demonstrating Scientific Taste: Aesthetic Judgment, Scientific Ethos, and Nineteenth-Century American Science
(/isis/citation/CBB001560527/)
Thesis
Khatib, Ghassan K.;
(1992)
Change of phase: The transformation of 19th-century thermodynamics: Josiah Willard Gibbs (1873-1878)
(/isis/citation/CBB001564540/)
Be the first to comment!