Calculus of Variations

An Introduction to the One-Dimensional Theory with Examples and Exercises

Autor: Hansjorg Kielhofer

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Editura: Springer International Publishing AG

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This clear and concise textbook provides a rigorous introduction to the calculus of variations, depe...

Informații despre carte

Autor

Hansjorg Kielhofer

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2019

Pagini

227

EAN

9783319890388

Enbook ID

21284464

Editura

Springer International Publishing AG

Greutate

379

Dimensiuni

155 x 235 x 14

Descriere completă

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.

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Calculus of Variations

An Introduction to the One-Dimensional Theory with Examples and Exercises

Informații despre carte

Descriere completă

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