An edition of Calculus of Variations I (2004)

Calculus of Variations I

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Cover of: Calculus of Variations I by Mariano Giaquinta, Mariano Giaquinta
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Last edited by MARC Bot
September 28, 2024 | History
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An edition of Calculus of Variations I (2004)

Calculus of Variations I

by

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.

Publish Date
Publisher
Springer Berlin Heidelberg
Language
English
Pages
474

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Previews available in: English

Subjects

Global differential geometry, Mathematics, Mathematical optimization, Calculus of variations, Differential Geometry, Calculus of Variations and Optimal Control; Optimization, Mathematical and Computational Physics Theoretical
Edition Availability
Cover of: Calculus of Variations I
Calculus of Variations I
2004, Springer Berlin Heidelberg
electronic resource / in English

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Book Details

Table of Contents

CALCULUS OF VARIATIONS I - The Lagrangian Formalism: Part I: The First Variation and Necessary Conditions: The First Variation; Variational Problems with Subsidiary Conditions; General Variational Formulas
Part II: The Second Variation and Sufficient Conditions; 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: Part III: Canonical Formalism and Hamilton-Jacobi Theory; Legendre Transformation, Hamiltonian Systems, Convexity, Field Theories; Parametric Variational Integrals
Part IV: Hamilton-Jacobi Theory and Canonical Transformations: Hamilton-Jacobi Theory and Canonical Transformations; Partial Differential Equations of First Order and Contact Transformations.

Edition Notes

Online full text is restricted to subscribers.

Also available in print.

Mode of access: World Wide Web.

Published in
Berlin, Heidelberg
Series
Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics -- 310, Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics -- 310

Classifications

Dewey Decimal Class
515.64
Library of Congress
QA315-316, QA402.3, QA402.5-QA402.6, QA402.5-402.6

The Physical Object

Format
[electronic resource] /
Pagination
1 online resource (xxix, 474 p.)
Number of pages
474

ID Numbers

Open Library
OL27022892M
Internet Archive
calculusvariatio00giaq_684
ISBN 10
364208074X, 3662032783
ISBN 13
9783642080746, 9783662032787
OCLC/WorldCat
851377209

Source records

Internet Archive item record
Better World Books record
Better World Books record
harvard_bibliographic_metadata record

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History

Download catalog record: RDF / JSON / OPDS | Wikipedia citation
September 28, 2024 Edited by MARC Bot import existing book
February 27, 2022 Edited by ImportBot import existing book
February 26, 2022 Edited by ImportBot import existing book
June 28, 2019 Created by MARC Bot Imported from Internet Archive item record