書誌事項

The Lagrangian formalism

Mariano Giaquinta, Stefan Hildebrandt

(Die Grundlehren der mathematischen Wissenschaften, 310 . Calculus of variations / Mariano Giaquinta, Stefan Hildebrandt ; 1)

Springer-Verlag, c1996

  • : gw
  • : us

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

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.

目次

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.

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詳細情報

  • NII書誌ID(NCID)
    BA26492447
  • ISBN
    • 354050625X
    • 038750625X
  • LCCN
    96020429
  • 出版国コード
    gw
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Berlin ; New York
  • ページ数/冊数
    xxix, 474 p.
  • 大きさ
    24 cm
  • 分類
  • 件名
  • 親書誌ID
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