The Lagrangian formalism

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The Lagrangian formalism / Mariano Giaquinta, Stefan Hildebrandt

資料種別:

図書

出版情報:

Berlin ; New York : Springer-Verlag, c1996

形態:

xxix, 474 p. ; 24 cm

シリーズ名:

Die Grundlehren der mathematischen Wissenschaften ; 310 . Calculus of variations / Mariano Giaquinta, Stefan Hildebrandt ; 1 <BA00007422>

著者名:

ISBN:

9783540506256 [354050625X] (: gw)
9780387506258 [038750625X] (: us)

書誌ID:

BA26492447

子書誌情報

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書誌詳細

注記:

Includes bibliographical references and index

主題:

Calculus of variations

言語:

英語

目次情報:

Calculus of Variations I - The Lagrangian Formalism:

The First Variation and Necessary Conditions: / Part I：

The First Variation; Variational Problems with Subsidiary Conditions

General Variational Formulas.

The Second Variation and Sufficient Conditions / Part II：

Second Variation, Excess Function, Convexity

Weak Minimizers and Jacobi Theory

Weierstrass Field Theory for One-dimensional Integrals and Strong Minimizers.

Calculus of Variations II - The Hamiltonian Formalism:

Canonical Formalism and Hamilton-Jacobi Theory / Part III：

Legendre Transformation, Hamiltonian Systems, Convexity, Field Theories

Parametric Variational Integrals.

Hamilton-Jacobi Theory and Canonical Transformations: Hamilton-Jacobi Theory and Canonical Transformations / Part IV：

Partial Differential Equations of First Order and Contact Transformations.

Calculus of Variations I - The Lagrangian Formalism:

The First Variation and Necessary Conditions: / Part I：

The First Variation; Variational Problems with Subsidiary Conditions

General Variational Formulas.

The Second Variation and Sufficient Conditions / Part II：

Second Variation, Excess Function, Convexity

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