UID:
almahu_9947363293802882
Umfang:
XXIX, 474 p.
,
online resource.
ISBN:
9783662032787
Serie:
Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 310
Inhalt:
This 2-volume treatise by two of the leading researchers and writers in the field, quickly established itself as a standard reference. It pays special attention to the historical aspects and the origins partly in applied problems - such as those of geometric optics - of parts of the theory. A variety of aids to the reader are provided, beginning with the detailed table of contents, and including an introduction to each chapter and each section and subsection, an overview of the relevant literature (in Volume II) besides the references in the Scholia to each chapter in the (historical) footnotes, and in the bibliography, and finally an index of the examples used through out the book.
Anmerkung:
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.
In:
Springer eBooks
Weitere Ausg.:
Printed edition: ISBN 9783642080746
Sprache:
Englisch
DOI:
10.1007/978-3-662-03278-7
URL:
http://dx.doi.org/10.1007/978-3-662-03278-7
URL:
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