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Calculus of Variations
An Introduction to the One-Dimensional Theory with Examples and Exercises
Taschenbuch von Hansjörg Kielhöfer
Sprache: Englisch

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Beschreibung
This clear and concise textbook provides a rigorous introduction to the calculus of variations, depending on functions of one variable and their first derivatives. It is based on a translation of a German edition of the book Variationsrechnung (Vieweg+Teubner Verlag, 2010), translated and updated by the author himself. Topics include: the Euler-Lagrange equation for one-dimensional variational problems, with and without constraints, as well as an introduction to the direct methods. The book targets students who have a solid background in calculus and linear algebra, not necessarily in functional analysis. Some advanced mathematical tools, possibly not familiar to the reader, are given along with proofs in the appendix. Numerous figures, advanced problems and proofs, examples, and exercises with solutions accompany the book, making it suitable for self-study.
The book will be particularly useful for beginning graduate students from the physical,engineering, and mathematical sciences with a rigorous theoretical background.
This clear and concise textbook provides a rigorous introduction to the calculus of variations, depending on functions of one variable and their first derivatives. It is based on a translation of a German edition of the book Variationsrechnung (Vieweg+Teubner Verlag, 2010), translated and updated by the author himself. Topics include: the Euler-Lagrange equation for one-dimensional variational problems, with and without constraints, as well as an introduction to the direct methods. The book targets students who have a solid background in calculus and linear algebra, not necessarily in functional analysis. Some advanced mathematical tools, possibly not familiar to the reader, are given along with proofs in the appendix. Numerous figures, advanced problems and proofs, examples, and exercises with solutions accompany the book, making it suitable for self-study.
The book will be particularly useful for beginning graduate students from the physical,engineering, and mathematical sciences with a rigorous theoretical background.
Über den Autor
Hansjörg Kielhöfer is a Professor at the University of Augsburg, Germany.
Zusammenfassung

Provides examples and exercises with solutions, allowing for self-study

Includes numerous figures to help aid the reader

Includes advances problems and proofs in the appendix

Inhaltsverzeichnis
Introduction.- The Euler-Language Equation.- Variational Problems with Constraints.- Direct Methods in the Calculus of Variations.- Appendix.- Solutions of the Exercises.
Details
Erscheinungsjahr: 2019
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 244
Reihe: Texts in Applied Mathematics
Inhalt: xvi
227 S.
59 s/w Illustr.
227 p. 59 illus.
ISBN-13: 9783319890388
ISBN-10: 3319890387
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Kielhöfer, Hansjörg
Auflage: Softcover reprint of the original 1st ed. 2018
Hersteller: Springer International Publishing
Texts in Applied Mathematics
Maße: 235 x 155 x 14 mm
Von/Mit: Hansjörg Kielhöfer
Erscheinungsdatum: 06.06.2019
Gewicht: 0,376 kg
preigu-id: 115201430
Über den Autor
Hansjörg Kielhöfer is a Professor at the University of Augsburg, Germany.
Zusammenfassung

Provides examples and exercises with solutions, allowing for self-study

Includes numerous figures to help aid the reader

Includes advances problems and proofs in the appendix

Inhaltsverzeichnis
Introduction.- The Euler-Language Equation.- Variational Problems with Constraints.- Direct Methods in the Calculus of Variations.- Appendix.- Solutions of the Exercises.
Details
Erscheinungsjahr: 2019
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 244
Reihe: Texts in Applied Mathematics
Inhalt: xvi
227 S.
59 s/w Illustr.
227 p. 59 illus.
ISBN-13: 9783319890388
ISBN-10: 3319890387
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Kielhöfer, Hansjörg
Auflage: Softcover reprint of the original 1st ed. 2018
Hersteller: Springer International Publishing
Texts in Applied Mathematics
Maße: 235 x 155 x 14 mm
Von/Mit: Hansjörg Kielhöfer
Erscheinungsdatum: 06.06.2019
Gewicht: 0,376 kg
preigu-id: 115201430
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