Author | Giaquinta, Mariano. author |
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Title | Calculus of Variations I [electronic resource] / by Mariano Giaquinta, Stefan Hildebrandt |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004 |
Connect to | http://dx.doi.org/10.1007/978-3-662-03278-7 |
Descript | XXIX, 474 p. online resource |
of Calculus of Variations I -- 1. The First Variation -- 2. Variational Problems with Subsidiary Conditions -- 3. General Variational Formulas -- 4. Second Variation, Excess Function, Convexity -- 5. Weak Minimizers and Jacobi Theory -- 6. Weierstrass Field Theory for One-Dimensional Integrals and Strong Minimizers -- Supplement. Some Facts from Differential Geometry and Analysis -- 1. Euclidean Spaces -- 2. Some Function Classes -- 3. Vector and Covector Fields. Transformation Rules -- 4. Differential Forms -- 6. Mean Curvature and Gauss Curvature