LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	516.36
Title	Variational Calculus ( EBook/) / by Jean-Pierre Bourguignon.
Author	Bourguignon, Jean-Pierre
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2022.
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2022.
Physical Details	XIX, 274 p. 1 illus. : online resource.
Series	Springer monographs in mathematics 2196-9922
ISBN	9783031183072
Summary Note	This 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 subject’s 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 École polytechnique in 1987. It will be accessible to graduate students and advanced undergraduates.:
Contents note	Part 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.
Mode of acces to digital resource	Digital reproduction.-
	Cham :
	Springer International Publishing,
	2022. -
	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-031-18307-2
Links to Related Works	Subject References: Differential Geometry . Geometry, Differential . Global Analysis and Analysis on Manifolds . Global analysis (Mathematics) . Manifolds (Mathematics) . Mathematical Physics . Authors: author . Bourguignon, Jean-Pierre . Corporate Authors: SpringerLink (Online service) . Series: Springer monographs in mathematics . Classification: 516.36 .

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Variational Calculus

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