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Calculus of Variations = An Introduction to the One-Dimensional Theory with Examples and Exercises /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Calculus of Variations/ by Hansjörg Kielhöfer.
其他題名:	An Introduction to the One-Dimensional Theory with Examples and Exercises /
作者:	Kielhöfer, Hansjörg.
面頁冊數:	XVI, 227 p. 59 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Calculus of variations. -
電子資源:	https://doi.org/10.1007/978-3-319-71123-2
ISBN:	9783319711232

Calculus of Variations = An Introduction to the One-Dimensional Theory with Examples and Exercises /
Kielhöfer, Hansjörg.

Calculus of VariationsAn Introduction to the One-Dimensional Theory with Examples and Exercises /[electronic resource] :by Hansjörg Kielhöfer. - 1st ed. 2018. - XVI, 227 p. 59 illus.online resource. - Texts in Applied Mathematics,670939-2475 ;. - Texts in Applied Mathematics,59.

Introduction -- The Euler-Language Equation -- Variational Problems with Constraints -- Direct Methods in the Calculus of Variations -- Appendix -- Solutions of the Exercises.

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. .

ISBN: 9783319711232

Standard No.: 10.1007/978-3-319-71123-2doiSubjects--Topical Terms:

527927
Calculus of variations.

LC Class. No.: QA315-316

Dewey Class. No.: 515.64

Calculus of Variations = An Introduction to the One-Dimensional Theory with Examples and Exercises /
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