Calculus Of Variations: An Introduction To The One-dimensional Theory With Examples And Exercises (texts In Applied Mathematics)
by Hansjörg Kielhöfer /
2018 / English / PDF
9 MB Download
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
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 bookVariationsrechnung
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.
(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.
The book will be particularly useful for beginning graduate
students from the physical, engineering, and mathematical sciences
with a rigorous theoretical background.
