001451173 000__ 03588cam\a2200529\i\4500
001451173 001__ 1451173
001451173 003__ OCoLC
001451173 005__ 20230310004646.0
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001451173 008__ 221115s2022\\\\sz\a\\\\ob\\\\001\0\eng\d
001451173 020__ $$a9783031183072$$q(electronic bk.)
001451173 020__ $$a303118307X$$q(electronic bk.)
001451173 020__ $$z9783031183065
001451173 020__ $$z3031183061
001451173 0247_ $$a10.1007/978-3-031-18307-2$$2doi
001451173 035__ $$aSP(OCoLC)1350791149
001451173 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dEBLCP$$dOCLCF$$dUKAHL$$dOCLCQ
001451173 0411_ $$aeng$$hfre
001451173 049__ $$aISEA
001451173 050_4 $$aQA316
001451173 08204 $$a515/.64$$223/eng/20221115
001451173 1001_ $$aBourguignon, J.-P.$$q(Jean-Pierre),$$d1947-$$eauthor.$$1https://isni.org/isni/0000000110492211
001451173 24510 $$aVariational calculus /$$cJean-Pierre Bourguignon.
001451173 264_1 $$aCham :$$bSpringer,$$c[2022]
001451173 264_4 $$c©2022
001451173 300__ $$a1 online resource (xix, 274 pages) :$$billustrations.
001451173 336__ $$atext$$btxt$$2rdacontent
001451173 337__ $$acomputer$$bc$$2rdamedia
001451173 338__ $$aonline resource$$bcr$$2rdacarrier
001451173 4901_ $$aSpringer monographs in mathematics
001451173 504__ $$aIncludes bibliographical references and indexes.
001451173 5050_ $$aPart I The Analytic Setting -- A First Generalisation of the Notion of Space: Spaces of Infinite Dimension -- Banach Spaces and Hilbert Spaces -- Linearisation and Local Inversion of Differentiable Maps -- Part II The Geometric Setting -- Some Applications of Differential Calculus -- New Generalisation of the Notion of a Space: Configuration Spaces -- Tangent Vectors and Vector Fields on Configuration Spaces -- Regular Points and Critical Points of Numerical Functions -- Part III The Calculus of Variations -- Configuration Spaces of Geometric Objects -- The Euler-Lagrange Equations -- The Hamiltonian Viewpoint -- Symmetries and Conversation Laws -- Appendix: Basic Elements of Topology -- References -- Notation Index -- Subject Index.
001451173 506__ $$aAccess limited to authorized users.
001451173 520__ $$aThis book provides a comprehensive introduction to the Calculus of Variations and its use in modelling mechanics and physics problems. Presenting a geometric approach to the subject, it progressively guides the reader through this very active branch of mathematics, accompanying key statements with a huge variety of exercises, some of them solved. Stressing the need to overcome limitations of the initial point of view, and emphasising the interconnectivity of various branches of mathematics (algebra, analysis and geometry), the book includes some advanced material to challenge the most motivated students. Systematic, short historical notes provide details on the subjects odyssey, and how new tools have been developed over the last two centuries. This English translation updates a set of notes for a course first given at the Ecole polytechnique in 1987. It will be accessible to graduate students and advanced undergraduates.
001451173 546__ $$aTranslated from the French.
001451173 588__ $$aDescription based on print version record.
001451173 650_0 $$aVariational inequalities (Mathematics)
001451173 655_0 $$aElectronic books.
001451173 77608 $$iPrint version:$$aBourguignon, J.-P. (Jean-Pierre), 1947-$$tVariational calculus.$$dCham : Springer, 2022$$z9783031183065$$w(OCoLC)1346945832
001451173 830_0 $$aSpringer monographs in mathematics.
001451173 852__ $$bebk
001451173 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-18307-2$$zOnline Access$$91397441.1
001451173 909CO $$ooai:library.usi.edu:1451173$$pGLOBAL_SET
001451173 980__ $$aBIB
001451173 980__ $$aEBOOK
001451173 982__ $$aEbook
001451173 983__ $$aOnline
001451173 994__ $$a92$$bISE