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portada Variational Calculus
Type
Physical Book
Author
Publisher
Language
English
Pages
274
Format
Hardcover
Dimensions
23.4x15.6x1.8 cm
Weight
0.59 kg.
ISBN13
9783031183065
Categories

Variational Calculus

Jean-Pierre Bourguignon (Author) · Springer · Hardcover

Variational Calculus - Bourguignon, Jean-Pierre

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Synopsis "Variational Calculus "

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.

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