One-dimensional Variational Problems PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download One-dimensional Variational Problems PDF full book. Access full book title One-dimensional Variational Problems by Giuseppe Buttazzo. Download full books in PDF and EPUB format.
Author: Giuseppe Buttazzo
Publisher: Oxford University Press
ISBN: 9780198504658
Category : Mathematics
Languages : en
Pages : 282
Get Book Here
Book Description
While easier to solve and accessible to a broader range of students, one-dimensional variational problems and their associated differential equations exhibit many of the same complex behavior of higher-dimensional problems. This book, the first moden introduction, emphasizes direct methods and provides an exceptionally clear view of the underlying theory.
Author: Giuseppe Buttazzo
Publisher: Oxford University Press
ISBN: 9780198504658
Category : Mathematics
Languages : en
Pages : 282
Get Book Here
Book Description
While easier to solve and accessible to a broader range of students, one-dimensional variational problems and their associated differential equations exhibit many of the same complex behavior of higher-dimensional problems. This book, the first moden introduction, emphasizes direct methods and provides an exceptionally clear view of the underlying theory.
Author: Ivar Ekeland
Publisher: SIAM
ISBN: 9781611971088
Category : Mathematics
Languages : en
Pages : 414
Get Book Here
Book Description
This book contains different developments of infinite dimensional convex programming in the context of convex analysis, including duality, minmax and Lagrangians, and convexification of nonconvex optimization problems in the calculus of variations (infinite dimension). It also includes the theory of convex duality applied to partial differential equations; no other reference presents this in a systematic way. The minmax theorems contained in this book have many useful applications, in particular the robust control of partial differential equations in finite time horizon. First published in English in 1976, this SIAM Classics in Applied Mathematics edition contains the original text along with a new preface and some additional references.
Author: Hansjörg Kielhöfer
Publisher: Springer
ISBN: 3319711237
Category : Mathematics
Languages : en
Pages : 242
Get Book Here
Book Description
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.
Author: Alexandr Ivanov
Publisher: World Scientific
ISBN: 981449433X
Category : Mathematics
Languages : en
Pages : 365
Get Book Here
Book Description
This book deals with the new class of one-dimensional variational problems — the problems with branching solutions. Instead of extreme curves (mappings of a segment to a manifold) we investigate extreme networks, which are mappings of graphs (one-dimensional cell complexes) to a manifold. Various applications of the approach are presented, such as several generalizations of the famous Steiner problem of finding the shortest network spanning given points of the plane.
Author: Alexander O. Ivanov
Publisher: World Scientific
ISBN: 9812810714
Category : Mathematics
Languages : en
Pages : 365
Get Book Here
Book Description
This book deals with the new class of one-dimensional variational problems OCo the problems with branching solutions. Instead of extreme curves (mappings of a segment to a manifold) we investigate extreme networks, which are mappings of graphs (one-dimensional cell complexes) to a manifold. Various applications of the approach are presented, such as several generalizations of the famous Steiner problem of finding the shortest network spanning given points of the plane. Contents: Preliminary Results; Networks Extremality Criteria; Linear Networks in R N; Extremals of Length Type Functionals: The Case of Parametric Networks; Extremals of Functionals Generated by Norms. Readership: Researchers in differential geometry and topology."
Author: Hershel Markovitz
Publisher: Springer Science & Business Media
ISBN: 3642759750
Category : Technology & Engineering
Languages : en
Pages : 575
Get Book Here
Book Description
Reprinted from Archive for Rational Mechanics and Analysis edited by C. Truesdell
Author: Francisco Facchinei
Publisher: Springer Science & Business Media
ISBN: 0387218149
Category : Mathematics
Languages : en
Pages : 724
Get Book Here
Book Description
This is part one of a two-volume work presenting a comprehensive treatment of the finite-dimensional variational inequality and complementarity problem. It covers the basic theory of finite dimensional variational inequalities and complementarity problems. Coverage includes abundant exercises as well as an extensive bibliography. The book will be an enduring reference on the subject and provide the foundation for its sustained growth.
Author: R. Tyrrell Rockafellar
Publisher: Springer Science & Business Media
ISBN: 3642024319
Category : Mathematics
Languages : en
Pages : 747
Get Book Here
Book Description
From its origins in the minimization of integral functionals, the notion of variations has evolved greatly in connection with applications in optimization, equilibrium, and control. This book develops a unified framework and provides a detailed exposition of variational geometry and subdifferential calculus in their current forms beyond classical and convex analysis. Also covered are set-convergence, set-valued mappings, epi-convergence, duality, and normal integrands.
Author: Andrej Cherkaev
Publisher: Springer Science & Business Media
ISBN: 1461211883
Category : Science
Languages : en
Pages : 561
Get Book Here
Book Description
This book bridges a gap between a rigorous mathematical approach to variational problems and the practical use of algorithms of structural optimization in engineering applications. The foundations of structural optimization are presented in sufficiently simple form as to make them available for practical use.
Author: Mariano Giaquinta
Publisher: Springer Science & Business Media
ISBN: 3662032783
Category : Mathematics
Languages : en
Pages : 498
Get Book Here
Book Description
This two-volume treatise is a standard reference in the field. It pays special attention to the historical aspects and the origins partly in applied problems—such as those of geometric optics—of parts of the theory. It contains an introduction to each chapter, section, and subsection and an overview of the relevant literature in the footnotes and bibliography. It also includes an index of the examples used throughout the book.
