Calculus of Variations : An Introduction to the One-dimensional Theory With E...

Description: Calculus of Variations : An Introduction to the One-dimensional Theory With Examples and Exercises, Paperback by Kielhöfer, Hansjörg, ISBN 3319890387, ISBN-13 9783319890388, Brand New, Free shipping in the US

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 th 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. Th 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 th, making it suitable for self-study.

Th will be particularly useful for beginning graduate students from the physical, engineering, and mathematical sciences with a rigorous theoretical background.

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