Calculus of Variations

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

Autor: Hansjorg Kielhofer

Jazyk:

Vazba: Brožovaná

Vydavatel: Springer International Publishing AG

Dostupnost: Skladem u dodavatele

Odesíláme za 10-18 dnů

695 Kč

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

Informace o knize

Autor

Hansjorg Kielhofer

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

2019

Stránek

227

EAN

9783319890388

Enbook ID

21284464

Vydavatel

Springer International Publishing AG

Hmotnost

379

Rozměry

155 x 235 x 14

Kompletní popis

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

Informace o knize

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