The Calculus of Variants
| Author | : Walter Wilson Greg |
| Publisher | : |
| Total Pages | : 80 |
| Release | : 1927 |
| Genre | : Literary Criticism |
| ISBN | : |
The Calculus Of Variants
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Calculus of Variations
| Author | : I. M. Gelfand |
| Publisher | : Courier Corporation |
| Total Pages | : 260 |
| Release | : 2012-04-26 |
| Genre | : Mathematics |
| ISBN | : 0486135012 |
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.
The Calculus of Variants
| Author | : Walter Wilson Greg |
| Publisher | : |
| Total Pages | : 86 |
| Release | : 1927 |
| Genre | : Criticism, Textual |
| ISBN | : |
The Calculus of Variations
| Author | : N.I. Akhiezer |
| Publisher | : CRC Press |
| Total Pages | : 294 |
| Release | : 1988-01-01 |
| Genre | : Mathematics |
| ISBN | : 9783718648054 |
An authoritative text on the calculus of variations for first-year graduate students. From a study of the simplest problem it goes on to cover Lagrangian derivatives, Jacobi’s condition, and field theory. Devotes considerable attention to direct methods and the Sturm-Liouville problem in a finite interval. Contains numerous interesting and challenging exercises plus five appendices on important results, generalizations, and applications of the material,
Introduction to the Calculus of Variations
| Author | : Hans Sagan |
| Publisher | : Courier Corporation |
| Total Pages | : 484 |
| Release | : 2012-04-26 |
| Genre | : Mathematics |
| ISBN | : 048613802X |
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.
Introduction To The Calculus of Variations And Its Applications
| Author | : Frederic Wan |
| Publisher | : Routledge |
| Total Pages | : 660 |
| Release | : 2017-10-19 |
| Genre | : Mathematics |
| ISBN | : 1351436511 |
This comprehensive text provides all information necessary for an introductory course on the calculus of variations and optimal control theory. Following a thorough discussion of the basic problem, including sufficient conditions for optimality, the theory and techniques are extended to problems with a free end point, a free boundary, auxiliary and inequality constraints, leading to a study of optimal control theory.
Introduction to the Calculus of Variations
| Author | : U. Brechteken-Mandersch |
| Publisher | : CRC Press |
| Total Pages | : 216 |
| Release | : 1991-06-01 |
| Genre | : Mathematics |
| ISBN | : 9780412366901 |
This text provides a clear, concise introduction to the calculus of variations. The introductory chapter provides a general sense of the subject through a discussion of several classical and contemporary examples of the subject's use.
Direct Methods in the Calculus of Variations
| Author | : Enrico Giusti |
| Publisher | : World Scientific |
| Total Pages | : 412 |
| Release | : 2003 |
| Genre | : Mathematics |
| ISBN | : 9812380434 |
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.
Calculus of Variations and Optimal Control Theory
| Author | : Daniel Liberzon |
| Publisher | : Princeton University Press |
| Total Pages | : 255 |
| Release | : 2012 |
| Genre | : Mathematics |
| ISBN | : 0691151873 |
This textbook offers a concise yet rigorous introduction to calculus of variations and optimal control theory, and is a self-contained resource for graduate students in engineering, applied mathematics, and related subjects. Designed specifically for a one-semester course, the book begins with calculus of variations, preparing the ground for optimal control. It then gives a complete proof of the maximum principle and covers key topics such as the Hamilton-Jacobi-Bellman theory of dynamic programming and linear-quadratic optimal control. Calculus of Variations and Optimal Control Theory also traces the historical development of the subject and features numerous exercises, notes and references at the end of each chapter, and suggestions for further study. Offers a concise yet rigorous introduction Requires limited background in control theory or advanced mathematics Provides a complete proof of the maximum principle Uses consistent notation in the exposition of classical and modern topics Traces the historical development of the subject Solutions manual (available only to teachers) Leading universities that have adopted this book include: University of Illinois at Urbana-Champaign ECE 553: Optimum Control Systems Georgia Institute of Technology ECE 6553: Optimal Control and Optimization University of Pennsylvania ESE 680: Optimal Control Theory University of Notre Dame EE 60565: Optimal Control
A First Course in the Calculus of Variations
| Author | : Mark Kot |
| Publisher | : American Mathematical Society |
| Total Pages | : 311 |
| Release | : 2014-10-06 |
| Genre | : Mathematics |
| ISBN | : 1470414953 |
This book is intended for a first course in the calculus of variations, at the senior or beginning graduate level. The reader will learn methods for finding functions that maximize or minimize integrals. The text lays out important necessary and sufficient conditions for extrema in historical order, and it illustrates these conditions with numerous worked-out examples from mechanics, optics, geometry, and other fields. The exposition starts with simple integrals containing a single independent variable, a single dependent variable, and a single derivative, subject to weak variations, but steadily moves on to more advanced topics, including multivariate problems, constrained extrema, homogeneous problems, problems with variable endpoints, broken extremals, strong variations, and sufficiency conditions. Numerous line drawings clarify the mathematics. Each chapter ends with recommended readings that introduce the student to the relevant scientific literature and with exercises that consolidate understanding.
