Laurence Chisholm Young
Publicações selecionadas
Livros
Young, L. C. (1927), The Theory of Integration , Cambridge Tracts in Mathematics and Mathematical Physics, 21 , Cambridge: Cambridge University Press , pp. viii + 53, JFM 53.0207.19 , available from the Internet archive .
Young, L. C. (1969), Lectures on the Calculus of Variations and Optimal Control , Philadelphia–London–Toronto: W. B. Saunders, pp. xi+331, MR 0259704 , Zbl 0177.37801 .
Young, Laurence (1981), Mathematicians and their times. History of mathematics and mathematics of history , ISBN 978-0-444-86135-1 , North-Holland Mathematics Studies, 48 / Notas de Matemática [Mathematical Notes], 76 , Amsterdam–New York: North-Holland Publishing Co. , pp. x+344, MR 0629980 , Zbl 0446.01028 .
Artigos
Young, L. C. (1936), «An inequality of the Hölder type, connected with Stieltjes integration», Acta Mathematica , 67 (1): 251–282, JFM 62.0250.02 , Zbl 0016.10404 , doi :10.1007/bf02401743 .
Young, L. C. (1937), «Generalized curves and the existence of an attained absolute minimum in the Calculus of Variations» , Comptes Rendus des Séances de la Société des Sciences et des Lettres de Varsovie , Classe III, XXX (7–9): 211–234, JFM 63.1064.01 , Zbl 0019.21901 , memoir presented by Stanisław Saks at the session of 16 December 1937 of the Warsaw Society of Sciences and Letters . The free PDF copy is made available by the RCIN –Digital Repository of the Scientifics Institutes .
Young, L. C. (janeiro de 1942), «Generalized Surfaces in the Calculus of Variations», Annals of Mathematics , Second Series, 43 (1): 84–103, JFM 68.0227.03 , JSTOR 1968882 , MR 0006023 , Zbl 0063.09081 , doi :10.2307/1968882 .
Young, L. C. (1942), «Generalized Surfaces in the Calculus of Variations. II», Annals of Mathematics , Second Series, 43 (3): 530–544, JSTOR 1968809 , MR 0006832 , Zbl 0063.08362 , doi :10.2307/1968809 .
Young, L. C. (1951), «Surfaces parametriques generalisees», Bulletin de la Société Mathématique de France , 79 : 59–84, MR 46421 , Zbl 0044.10203 , doi :10.24033/bsmf.1419 .
Young, L. C. (1954), «A variational algorithm» (PDF) , Rivista di Matematica della Università di Parma , (1), 5 : 255–268, MR 81437 , Zbl 0059.09605 [ligação inativa] .
Young, L. C. (1959), «Partial area – I» (PDF) , Rivista di Matematica della Università di Parma , (1), 10 : 103–113, MR 141760 , Zbl 0107.27402 .
Young, L. C. (1959a), «Partial area. Part. II: Contours on hypersurfaces» (PDF) , Rivista di Matematica della Università di Parma , (1), 10 : 171–182, MR 141761 , Zbl 0107.27402 .
Young, L. C. (1959b), «Partial area. Part III: Symmetrization and the isoperimetric and least area problems» (PDF) , Rivista di Matematica della Università di Parma , (1), 10 : 257–263, MR 141762 , Zbl 0107.27402 .
Young, Laurence C. (1989), «Remarks and personal reminiscences», in: Roxin, Emilio O., Modern optimal control: a conference in honor of Solomon Lefschetz and Joseph P. LaSalle , ISBN 9780824781682 , Lecture Notes in Pure and Applied Mathematics, 119 , New York: Marcel Dekker , pp. 421–433, MR 1013226 .
Referências
↑ ( Young 1937 ) .
↑ In his commemorative papers describing the research of Almgren, writes that these are "essentially the same class of surfaces ". He notes also that Young himself used the same term in a somewhat different context.
↑ See also the 2015 unpublished essay of his pupil Wendell Fleming .
↑ ( Young 1936 ) .