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Calculus of variations
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== Further reading == * Benesova, B. and Kruzik, M.: [http://epubs.siam.org/doi/abs/10.1137/16M1060947 "Weak Lower Semicontinuity of Integral Functionals and Applications"]. ''SIAM Review'' 59(4) (2017), 703β766. * [[Oskar Bolza|Bolza, O.]]: [http://quod.lib.umich.edu/cgi/t/text/text-idx?c=umhistmath;idno=ACM2513 Lectures on the Calculus of Variations]. Chelsea Publishing Company, 1904, available on Digital Mathematics library. 2nd edition republished in 1961, paperback in 2005, {{isbn|978-1-4181-8201-4}}. * Cassel, Kevin W.: [https://books.google.com/books?id=pNHFJTKixisC Variational Methods with Applications in Science and Engineering], Cambridge University Press, 2013. * Clegg, J.C.: [https://books.google.com/books/about/Calculus_of_variations.html?id=qTnvAAAAMAAJ Calculus of Variations], Interscience Publishers Inc., 1968. * [[Richard Courant|Courant, R.]]: [https://books.google.com/books?id=GCDSBwAAQBAJ Dirichlet's principle, conformal mapping and minimal surfaces]. Interscience, 1950. * [[Bernard Dacorogna|Dacorogna, Bernard]]: "[http://www.worldscientific.com/doi/suppl/10.1142/p967/suppl_file/p967_chap01.pdf Introduction]" ''[http://www.worldscientific.com/worldscibooks/10.1142/p967 Introduction to the Calculus of Variations]'', 3rd edition. 2014, World Scientific Publishing, {{isbn|978-1-78326-551-0}}. * Elsgolc, L.E.: [https://books.google.com/books?id=MAU_AwAAQBAJ Calculus of Variations], Pergamon Press Ltd., 1962. * Forsyth, A.R.: [https://archive.org/stream/CalculusOfVariations/Forsyth-CalculusOfVariations#page/n3/mode/2up Calculus of Variations], Dover, 1960. * Fox, Charles: [https://books.google.com/books/about/An_Introduction_to_the_Calculus_of_Varia.html?id=PV2IovCWTcYC An Introduction to the Calculus of Variations], Dover Publ., 1987. * Giaquinta, Mariano; Hildebrandt, Stefan: Calculus of Variations I and II, Springer-Verlag, {{ISBN|978-3-662-03278-7}} and {{ISBN|978-3-662-06201-2}} * Jost, J. and X. Li-Jost: [https://books.google.com/books?id=QN8Iw7fUA-8C Calculus of Variations]. Cambridge University Press, 1998. * Lebedev, L.P. and Cloud, M.J.: [https://books.google.com/books?id=_T3ez-32YVsC The Calculus of Variations and Functional Analysis with Optimal Control and Applications in Mechanics], World Scientific, 2003, pages 1β98. * Logan, J. David: [https://books.google.com/books?id=nUk_AQAAIAAJ Applied Mathematics], 3rd edition. Wiley-Interscience, 2006 * {{cite book|chapter-url=http://www.mpri.lsu.edu/textbook/Chapter8-b.htm|chapter=Chapter 8: Calculus of Variations| url=http://www.mpri.lsu.edu/bookindex.html|title=Optimization for Engineering Systems| first=Ralph W. |last=Pike |publisher=[[Louisiana State University]]|archive-url=https://web.archive.org/web/20070705141725/http://www.mpri.lsu.edu/bookindex.html|url-status=dead|archive-date=2007-07-05}} * Roubicek, T.: "[https://web.archive.org/web/20150510023928/http://www.wiley-vch.de/books/sample/3527411887_c17.pdf Calculus of variations]". Chap.17 in: ''[https://web.archive.org/web/20150510021514/http://www.wiley-vch.de/publish/en/books/forthcomingTitles/MA00/3-527-41188-7/?sID=nrgsqk516u2v9ffab8u7io1dq4 Mathematical Tools for Physicists]''. (Ed. M. Grinfeld) J. Wiley, Weinheim, 2014, {{isbn|978-3-527-41188-7}}, pp. 551β588. * Sagan, Hans: [https://books.google.com/books/about/Introduction_to_the_Calculus_of_Variatio.html?id=abhS8PgpBskC Introduction to the Calculus of Variations], Dover, 1992. * Weinstock, Robert: [https://books.google.com/books?id=6wSVuWH1PrsC Calculus of Variations with Applications to Physics and Engineering], Dover, 1974 (reprint of 1952 ed.).
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