Calculus of Variations

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

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Calculus
Cover of the book Calculus of Variations by Hansjörg Kielhöfer, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Hansjörg Kielhöfer ISBN: 9783319711232
Publisher: Springer International Publishing Publication: January 25, 2018
Imprint: Springer Language: English
Author: Hansjörg Kielhöfer
ISBN: 9783319711232
Publisher: Springer International Publishing
Publication: January 25, 2018
Imprint: Springer
Language: English

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. 

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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. 

More books from Springer International Publishing

Cover of the book Singular Limits in Thermodynamics of Viscous Fluids by Hansjörg Kielhöfer
Cover of the book Advances in Engineering Education in the Middle East and North Africa by Hansjörg Kielhöfer
Cover of the book Update in Pediatrics by Hansjörg Kielhöfer
Cover of the book Silica Stories by Hansjörg Kielhöfer
Cover of the book Dynamics in Geometrical Confinement by Hansjörg Kielhöfer
Cover of the book On Logical, Algebraic, and Probabilistic Aspects of Fuzzy Set Theory by Hansjörg Kielhöfer
Cover of the book Breakthrough! by Hansjörg Kielhöfer
Cover of the book Teaching Victorian Literature in the Twenty-First Century by Hansjörg Kielhöfer
Cover of the book Extreme States of Matter by Hansjörg Kielhöfer
Cover of the book Computational Intelligence, Optimization and Inverse Problems with Applications in Engineering by Hansjörg Kielhöfer
Cover of the book Population Aging, Fertility and Social Security by Hansjörg Kielhöfer
Cover of the book Scientific Communication Across the Iron Curtain by Hansjörg Kielhöfer
Cover of the book Visual-spatial Ability in STEM Education by Hansjörg Kielhöfer
Cover of the book Glaucoma Surgery by Hansjörg Kielhöfer
Cover of the book Electronic Beam Steering and Polarization Agile Planar Antennas in Liquid Crystal Technology by Hansjörg Kielhöfer
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy