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 Social Media: The Good, the Bad, and the Ugly by Hansjörg Kielhöfer
Cover of the book Functional and Logic Programming by Hansjörg Kielhöfer
Cover of the book Informatics in Control, Automation and Robotics by Hansjörg Kielhöfer
Cover of the book Professional Development and Quality in Early Childhood Education by Hansjörg Kielhöfer
Cover of the book Computations with Modular Forms by Hansjörg Kielhöfer
Cover of the book Making it Formally Explicit by Hansjörg Kielhöfer
Cover of the book Cultures and Contexts of Jewish Education by Hansjörg Kielhöfer
Cover of the book Reviews of Environmental Contamination and Toxicology Volume 241 by Hansjörg Kielhöfer
Cover of the book Advanced Intelligent Systems for Sustainable Development (AI2SD’2018) by Hansjörg Kielhöfer
Cover of the book Doing Qualitative Research in Politics by Hansjörg Kielhöfer
Cover of the book Computer Vision in Control Systems-3 by Hansjörg Kielhöfer
Cover of the book Sustainable Energy Mix in Fragile Environments by Hansjörg Kielhöfer
Cover of the book Water Scarcity and Ways to Reduce the Impact by Hansjörg Kielhöfer
Cover of the book Elastic Optical Networks by Hansjörg Kielhöfer
Cover of the book Cloud Computing 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