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Calculus of Variations I Mariano Giaquinta

Calculus of Variations I By Mariano Giaquinta

Calculus of Variations I by Mariano Giaquinta


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Summary

This two-volume treatise is a standard reference in the field. 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.

Calculus of Variations I Summary

Calculus of Variations I by Mariano Giaquinta

This two-volume treatise is a standard reference in the field. 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. It contains an introduction to each chapter, section, and subsection and an overview of the relevant literature in the footnotes and bibliography. It also includes an index of the examples used throughout the book.

Table of Contents

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.

Additional information

NPB9783540506256
9783540506256
354050625X
Calculus of Variations I by Mariano Giaquinta
New
Hardback
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
2004-06-23
474
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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