Download or read book Sufficient Conditions for a Problem of Mayer in the Calculus of Variations written by Gilbert Ames BLISS (and HESTENES (Magnus Rudolph)) and published by . This book was released on 1933 with total page 39 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Necessary Conditions in the Problem of Mayer in the Calculus of Variations written by Gillie Aldah Larew and published by . This book was released on 1919 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Introduction To The Calculus of Variations And Its Applications written by Frederic Wan and published by Routledge. This book was released on 2017-10-19 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Calculus of Variations I written by Mariano Giaquinta and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Development of Sufficient Conditions in the Calculus of Variations written by William Larkin Duren and published by . This book was released on 1930 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Necessary Conditions in the Problem of Mayer in the Calculus of Variations written by Gillie Aldah Larew and published by . This book was released on 1919 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Calculus of Variations in the Large written by Marston Morse and published by American Mathematical Soc.. This book was released on 1934-12-31 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Morse theory is a study of deep connections between analysis and topology. In its classical form, it provides a relationship between the critical points of certain smooth functions on a manifold and the topology of the manifold. It has been used by geometers, topologists, physicists, and others as a remarkably effective tool to study manifolds. In the 1980s and 1990s, Morse theory was extended to infinite dimensions with great success. This book is Morse's own exposition of his ideas. It has been called one of the most important and influential mathematical works of the twentieth century. Calculus of Variations in the Large is certainly one of the essential references on Morse theory.
Download or read book Calculus of Variations II written by Mariano Giaquinta and published by Springer Science & Business Media. This book was released on 2004-06-30 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book by two of the foremost researchers and writers in the field is the first part of a treatise that covers the subject in breadth and depth, paying special attention to the historical origins of the theory. Both individually and collectively these volumes have already become standard references.
Download or read book Introduction to the Calculus of Variations written by U. Brechteken-Mandersch and published by CRC Press. This book was released on 1991-06-01 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Lectures on the Calculus of Variations written by Gilbert Ames Bliss and published by . This book was released on 1963 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Necessary Conditions in the Problem of Mayer in the Calculus of Variations a Dissertation Submitted for the Degree of Doctor of Philosophy Department of Mathematics by Gillie Aldah Larew written by Gillie Aldah Larew and published by . This book was released on 1919 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Contributions to the Calculus of Variations written by and published by . This book was released on 1937 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Calculus of Variations and Optimal Control Theory written by Daniel Liberzon and published by Princeton University Press. This book was released on 2012 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Calculus of Variations written by Izrailʹ Moiseevich Gelʹfand and published by Prentice Hall. This book was released on 1963 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elements of the theory -- Further generalizations -- The general variation of a functional -- The canonical form of the euler equations and related topics -- The second variation : sufficient conditions for a weak extremum -- Fields : sufficient conditions for a strong extremum -- Variational problems involving multiple integrals -- Direct methods in the calculus of variations -- Appendix I. Propagation of disturbances and the canonical equations -- Appendix II. Variational methods in problems of optimal control.
Download or read book A History of the Calculus of Variations from the 17th through the 19th Century written by H. H. Goldstine and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: The calculus of variations is a subject whose beginning can be precisely dated. It might be said to begin at the moment that Euler coined the name calculus of variations but this is, of course, not the true moment of inception of the subject. It would not have been unreasonable if I had gone back to the set of isoperimetric problems considered by Greek mathemati cians such as Zenodorus (c. 200 B. C. ) and preserved by Pappus (c. 300 A. D. ). I have not done this since these problems were solved by geometric means. Instead I have arbitrarily chosen to begin with Fermat's elegant principle of least time. He used this principle in 1662 to show how a light ray was refracted at the interface between two optical media of different densities. This analysis of Fermat seems to me especially appropriate as a starting point: He used the methods of the calculus to minimize the time of passage cif a light ray through the two media, and his method was adapted by John Bernoulli to solve the brachystochrone problem. There have been several other histories of the subject, but they are now hopelessly archaic. One by Robert Woodhouse appeared in 1810 and another by Isaac Todhunter in 1861.
Download or read book Contributions to the Calculus of Variations 1930 written by Chicago (Ill.). University. Dept. of Mathematics and published by . This book was released on 1965 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:
