Modern Methods in the Calculus of Variations

Download Modern Methods in the Calculus of Variations PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0387690069
Total Pages : 600 pages
Book Rating : 4.3/5 (876 download)

DOWNLOAD NOW!


Book Synopsis Modern Methods in the Calculus of Variations by : Irene Fonseca

Download or read book Modern Methods in the Calculus of Variations written by Irene Fonseca and published by Springer Science & Business Media. This book was released on 2007-08-22 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first of two books on methods and techniques in the calculus of variations. Contemporary arguments are used throughout the text to streamline and present in a unified way classical results, and to provide novel contributions at the forefront of the theory. This book addresses fundamental questions related to lower semicontinuity and relaxation of functionals within the unconstrained setting, mainly in L^p spaces. It prepares the ground for the second volume where the variational treatment of functionals involving fields and their derivatives will be undertaken within the framework of Sobolev spaces. This book is self-contained. All the statements are fully justified and proved, with the exception of basic results in measure theory, which may be found in any good textbook on the subject. It also contains several exercises. Therefore,it may be used both as a graduate textbook as well as a reference text for researchers in the field. Irene Fonseca is the Mellon College of Science Professor of Mathematics and is currently the Director of the Center for Nonlinear Analysis in the Department of Mathematical Sciences at Carnegie Mellon University. Her research interests lie in the areas of continuum mechanics, calculus of variations, geometric measure theory and partial differential equations. Giovanni Leoni is also a professor in the Department of Mathematical Sciences at Carnegie Mellon University. He focuses his research on calculus of variations, partial differential equations and geometric measure theory with special emphasis on applications to problems in continuum mechanics and in materials science.

Modern Methods in the Calculus of Variations: Lp Spaces

Download Modern Methods in the Calculus of Variations: Lp Spaces PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (115 download)

DOWNLOAD NOW!


Book Synopsis Modern Methods in the Calculus of Variations: Lp Spaces by : Irene Fonseca

Download or read book Modern Methods in the Calculus of Variations: Lp Spaces written by Irene Fonseca and published by . This book was released on 2007 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Calculus of Variations

Download Calculus of Variations PDF Online Free

Author :
Publisher : Courier Corporation
ISBN 13 : 0486135012
Total Pages : 240 pages
Book Rating : 4.4/5 (861 download)

DOWNLOAD NOW!


Book Synopsis Calculus of Variations by : I. M. Gelfand

Download or read book Calculus of Variations written by I. M. Gelfand and published by Courier Corporation. This book was released on 2012-04-26 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fresh, lively text serves as a modern introduction to the subject, with applications to the mechanics of systems with a finite number of degrees of freedom. Ideal for math and physics students.

Introduction to the Calculus of Variations

Download Introduction to the Calculus of Variations PDF Online Free

Author :
Publisher : Courier Corporation
ISBN 13 : 048613802X
Total Pages : 484 pages
Book Rating : 4.4/5 (861 download)

DOWNLOAD NOW!


Book Synopsis Introduction to the Calculus of Variations by : Hans Sagan

Download or read book Introduction to the Calculus of Variations written by Hans Sagan and published by Courier Corporation. This book was released on 2012-04-26 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a thorough understanding of calculus of variations and prepares readers for the study of modern optimal control theory. Selected variational problems and over 400 exercises. Bibliography. 1969 edition.

Calculus of Variations

Download Calculus of Variations PDF Online Free

Author :
Publisher : Courier Corporation
ISBN 13 : 0486141063
Total Pages : 354 pages
Book Rating : 4.4/5 (861 download)

DOWNLOAD NOW!


Book Synopsis Calculus of Variations by : Robert Weinstock

Download or read book Calculus of Variations written by Robert Weinstock and published by Courier Corporation. This book was released on 2012-04-26 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book by Robert Weinstock was written to fill the need for a basic introduction to the calculus of variations. Simply and easily written, with an emphasis on the applications of this calculus, it has long been a standard reference of physicists, engineers, and applied mathematicians. The author begins slowly, introducing the reader to the calculus of variations, and supplying lists of essential formulae and derivations. Later chapters cover isoperimetric problems, geometrical optics, Fermat's principle, dynamics of particles, the Sturm-Liouville eigenvalue-eigenfunction problem, the theory of elasticity, quantum mechanics, and electrostatics. Each chapter ends with a series of exercises which should prove very useful in determining whether the material in that chapter has been thoroughly grasped. The clarity of exposition makes this book easily accessible to anyone who has mastered first-year calculus with some exposure to ordinary differential equations. Physicists and engineers who find variational methods evasive at times will find this book particularly helpful. "I regard this as a very useful book which I shall refer to frequently in the future." J. L. Synge, Bulletin of the American Mathematical Society.

Calculus of Variations

Download Calculus of Variations PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3319711237
Total Pages : 227 pages
Book Rating : 4.3/5 (197 download)

DOWNLOAD NOW!


Book Synopsis Calculus of Variations by : Hansjörg Kielhöfer

Download or read book Calculus of Variations written by Hansjörg Kielhöfer and published by Springer. This book was released on 2018-01-25 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Calculus of Variations

Download Calculus of Variations PDF Online Free

Author :
Publisher : Cambridge University Press
ISBN 13 : 9780521642033
Total Pages : 348 pages
Book Rating : 4.6/5 (42 download)

DOWNLOAD NOW!


Book Synopsis Calculus of Variations by : Jürgen Jost

Download or read book Calculus of Variations written by Jürgen Jost and published by Cambridge University Press. This book was released on 1998 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description

Variational Methods

Download Variational Methods PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3662032120
Total Pages : 288 pages
Book Rating : 4.6/5 (62 download)

DOWNLOAD NOW!


Book Synopsis Variational Methods by : Michael Struwe

Download or read book Variational Methods written by Michael Struwe and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hilbert's talk at the second International Congress of 1900 in Paris marked the beginning of a new era in the calculus of variations. A development began which, within a few decades, brought tremendous success, highlighted by the 1929 theorem of Ljusternik and Schnirelman on the existence of three distinct prime closed geodesics on any compact surface of genus zero, and the 1930/31 solution of Plateau's problem by Douglas and Radò. The book gives a concise introduction to variational methods and presents an overview of areas of current research in this field. This new edition has been substantially enlarged, a new chapter on the Yamabe problem has been added and the references have been updated. All topics are illustrated by carefully chosen examples, representing the current state of the art in their field.

Direct Methods in the Calculus of Variations

Download Direct Methods in the Calculus of Variations PDF Online Free

Author :
Publisher : World Scientific
ISBN 13 : 9812380434
Total Pages : 412 pages
Book Rating : 4.8/5 (123 download)

DOWNLOAD NOW!


Book Synopsis Direct Methods in the Calculus of Variations by : Enrico Giusti

Download or read book Direct Methods in the Calculus of Variations written by Enrico Giusti and published by World Scientific. This book was released on 2003 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive discussion on the existence and regularity of minima of regular integrals in the calculus of variations and of solutions to elliptic partial differential equations and systems of the second order. While direct methods for the existence of solutions are well known and have been widely used in the last century, the regularity of the minima was always obtained by means of the Euler equation as a part of the general theory of partial differential equations. In this book, using the notion of the quasi-minimum introduced by Giaquinta and the author, the direct methods are extended to the regularity of the minima of functionals in the calculus of variations, and of solutions to partial differential equations. This unified treatment offers a substantial economy in the assumptions, and permits a deeper understanding of the nature of the regularity and singularities of the solutions. The book is essentially self-contained, and requires only a general knowledge of the elements of Lebesgue integration theory.

The Calculus of Variations

Download The Calculus of Variations PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0387216979
Total Pages : 292 pages
Book Rating : 4.3/5 (872 download)

DOWNLOAD NOW!


Book Synopsis The Calculus of Variations by : Bruce van Brunt

Download or read book The Calculus of Variations written by Bruce van Brunt and published by Springer Science & Business Media. This book was released on 2006-04-18 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for advanced undergraduate and graduate students of mathematics, physics, or engineering, this introduction to the calculus of variations focuses on variational problems involving one independent variable. It also discusses more advanced topics such as the inverse problem, eigenvalue problems, and Noether’s theorem. The text includes numerous examples along with problems to help students consolidate the material.

The Calculus of Variations and Optimal Control

Download The Calculus of Variations and Optimal Control PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 148990333X
Total Pages : 313 pages
Book Rating : 4.4/5 (899 download)

DOWNLOAD NOW!


Book Synopsis The Calculus of Variations and Optimal Control by : George Leitmann

Download or read book The Calculus of Variations and Optimal Control written by George Leitmann and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: When the Tyrian princess Dido landed on the North African shore of the Mediterranean sea she was welcomed by a local chieftain. He offered her all the land that she could enclose between the shoreline and a rope of knotted cowhide. While the legend does not tell us, we may assume that Princess Dido arrived at the correct solution by stretching the rope into the shape of a circular arc and thereby maximized the area of the land upon which she was to found Carthage. This story of the founding of Carthage is apocryphal. Nonetheless it is probably the first account of a problem of the kind that inspired an entire mathematical discipline, the calculus of variations and its extensions such as the theory of optimal control. This book is intended to present an introductory treatment of the calculus of variations in Part I and of optimal control theory in Part II. The discussion in Part I is restricted to the simplest problem of the calculus of variations. The topic is entirely classical; all of the basic theory had been developed before the turn of the century. Consequently the material comes from many sources; however, those most useful to me have been the books of Oskar Bolza and of George M. Ewing. Part II is devoted to the elementary aspects of the modern extension of the calculus of variations, the theory of optimal control of dynamical systems.

Dynamic Programming and the Calculus of Variations

Download Dynamic Programming and the Calculus of Variations PDF Online Free

Author :
Publisher : Academic Press
ISBN 13 : 0080955274
Total Pages : 247 pages
Book Rating : 4.0/5 (89 download)

DOWNLOAD NOW!


Book Synopsis Dynamic Programming and the Calculus of Variations by : Dreyfus

Download or read book Dynamic Programming and the Calculus of Variations written by Dreyfus and published by Academic Press. This book was released on 1965-01-01 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic Programming and the Calculus of Variations

Optimal Control and the Calculus of Variations

Download Optimal Control and the Calculus of Variations PDF Online Free

Author :
Publisher : Oxford University Press
ISBN 13 : 0198514891
Total Pages : 245 pages
Book Rating : 4.1/5 (985 download)

DOWNLOAD NOW!


Book Synopsis Optimal Control and the Calculus of Variations by : Enid R. Pinch

Download or read book Optimal Control and the Calculus of Variations written by Enid R. Pinch and published by Oxford University Press. This book was released on 1995 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: A paperback edition of this successful textbook for final year undergraduate mathematicians and control engineering students, this book contains exercises and many worked examples, with complete solutions and hints making it ideal not only as a class textbook but also for individual study. Theintorduction to optimal control begins by considering the problem of minimizing a function of many variables, before moving on to the main subject: the optimal control of systems governed by ordinary differential equations.

Functional Analysis, Calculus of Variations and Optimal Control

Download Functional Analysis, Calculus of Variations and Optimal Control PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1447148207
Total Pages : 589 pages
Book Rating : 4.4/5 (471 download)

DOWNLOAD NOW!


Book Synopsis Functional Analysis, Calculus of Variations and Optimal Control by : Francis Clarke

Download or read book Functional Analysis, Calculus of Variations and Optimal Control written by Francis Clarke and published by Springer Science & Business Media. This book was released on 2013-02-06 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functional analysis owes much of its early impetus to problems that arise in the calculus of variations. In turn, the methods developed there have been applied to optimal control, an area that also requires new tools, such as nonsmooth analysis. This self-contained textbook gives a complete course on all these topics. It is written by a leading specialist who is also a noted expositor. This book provides a thorough introduction to functional analysis and includes many novel elements as well as the standard topics. A short course on nonsmooth analysis and geometry completes the first half of the book whilst the second half concerns the calculus of variations and optimal control. The author provides a comprehensive course on these subjects, from their inception through to the present. A notable feature is the inclusion of recent, unifying developments on regularity, multiplier rules, and the Pontryagin maximum principle, which appear here for the first time in a textbook. Other major themes include existence and Hamilton-Jacobi methods. The many substantial examples, and the more than three hundred exercises, treat such topics as viscosity solutions, nonsmooth Lagrangians, the logarithmic Sobolev inequality, periodic trajectories, and systems theory. They also touch lightly upon several fields of application: mechanics, economics, resources, finance, control engineering. Functional Analysis, Calculus of Variations and Optimal Control is intended to support several different courses at the first-year or second-year graduate level, on functional analysis, on the calculus of variations and optimal control, or on some combination. For this reason, it has been organized with customization in mind. The text also has considerable value as a reference. Besides its advanced results in the calculus of variations and optimal control, its polished presentation of certain other topics (for example convex analysis, measurable selections, metric regularity, and nonsmooth analysis) will be appreciated by researchers in these and related fields.

Introduction to the Calculus of Variations

Download Introduction to the Calculus of Variations PDF Online Free

Author :
Publisher : Imperial College Press
ISBN 13 : 1848163339
Total Pages : 241 pages
Book Rating : 4.8/5 (481 download)

DOWNLOAD NOW!


Book Synopsis Introduction to the Calculus of Variations by : Bernard Dacorogna

Download or read book Introduction to the Calculus of Variations written by Bernard Dacorogna and published by Imperial College Press. This book was released on 2009 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: The calculus of variations is one of the oldest subjects in mathematics, yet is very much alive and is still evolving. Besides its mathematical importance and its links to other branches of mathematics, such as geometry or differential equations, it is widely used in physics, engineering, economics and biology.This book serves both as a guide to the expansive existing literature and as an aid to the non-specialist ? mathematicians, physicists, engineers, students or researchers ? in discovering the subject's most important problems, results and techniques. Despite the aim of addressing non-specialists, mathematical rigor has not been sacrificed; most of the theorems are either fully proved or proved under more stringent conditions.In this new edition, the chapter on regularity has been significantly expanded and 27 new exercises have been added. The book, containing a total of 103 exercises with detailed solutions, is well designed for a course at both undergraduate and graduate levels.

Techniques of Variational Analysis

Download Techniques of Variational Analysis PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0387282718
Total Pages : 368 pages
Book Rating : 4.3/5 (872 download)

DOWNLOAD NOW!


Book Synopsis Techniques of Variational Analysis by : Jonathan Borwein

Download or read book Techniques of Variational Analysis written by Jonathan Borwein and published by Springer Science & Business Media. This book was released on 2006-06-18 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Borwein is an authority in the area of mathematical optimization, and his book makes an important contribution to variational analysis Provides a good introduction to the topic

Variational Methods with Applications in Science and Engineering

Download Variational Methods with Applications in Science and Engineering PDF Online Free

Author :
Publisher : Cambridge University Press
ISBN 13 : 1107022584
Total Pages : 433 pages
Book Rating : 4.1/5 (7 download)

DOWNLOAD NOW!


Book Synopsis Variational Methods with Applications in Science and Engineering by : Kevin W. Cassel

Download or read book Variational Methods with Applications in Science and Engineering written by Kevin W. Cassel and published by Cambridge University Press. This book was released on 2013-07-22 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reflects the strong connection between calculus of variations and the applications for which variational methods form the foundation.