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The Topology Of The Calculus Of Variations In The Large
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Book Synopsis The Topology of the Calculus of Variations in the Large by : Lazarʹ Aronovich Li͡usternik
Download or read book The Topology of the Calculus of Variations in the Large written by Lazarʹ Aronovich Li͡usternik and published by American Mathematical Soc.. This book was released on with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Calculus of Variations in the Large by : Marston Morse
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.
Book Synopsis The Topology of the Calculus of Variations in the Large by : Lazar' Aronovich LIUSTERNIK
Download or read book The Topology of the Calculus of Variations in the Large written by Lazar' Aronovich LIUSTERNIK and published by . This book was released on 1966 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Topology of the Calculus of Variations in the Large by : Lazarʹ Aronovich Li︠u︡sternik
Download or read book The Topology of the Calculus of Variations in the Large written by Lazarʹ Aronovich Li︠u︡sternik and published by . This book was released on 1966 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Topology of the Calculus of Variations in the Large by : Lazar̆ A. Ljusternik
Download or read book The Topology of the Calculus of Variations in the Large written by Lazar̆ A. Ljusternik and published by . This book was released on 1989 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Topology of the Calculus of Variations in the Large by : James William Cecil Turner
Download or read book The Topology of the Calculus of Variations in the Large written by James William Cecil Turner and published by . This book was released on 1966 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The topology of the calculus of variations in the large by : L. A. LJUSTERNIK
Download or read book The topology of the calculus of variations in the large written by L. A. LJUSTERNIK and published by . This book was released on 2001 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Topology of Function Spaces and the Calculus of Variations in the Large by : L. A. Ljusternik
Download or read book The Topology of Function Spaces and the Calculus of Variations in the Large written by L. A. Ljusternik and published by . This book was released on 1989 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The topology of the calculus of variations in the large, by L.A.Ljusternik by : Lazarʹ Aronovich Li︠u︡sternik
Download or read book The topology of the calculus of variations in the large, by L.A.Ljusternik written by Lazarʹ Aronovich Li︠u︡sternik and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lectures on the Calculus of Variations by : Oskar Bolza
Download or read book Lectures on the Calculus of Variations written by Oskar Bolza and published by University of Michigan Library. This book was released on 1904 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction To The Calculus Of Variations (3rd Edition) by : Bernard Dacorogna
Download or read book Introduction To The Calculus Of Variations (3rd Edition) written by Bernard Dacorogna and published by World Scientific Publishing Company. This book was released on 2014-08-13 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: The calculus of variations is one of the oldest subjects in mathematics, and it is very much alive and 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, several new exercises have been added. The book, containing a total of 119 exercises with detailed solutions, is well designed for a course at both undergraduate and graduate levels.
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 260 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.
Book Synopsis The Inverse Problem of the Calculus of Variations by : Dmitry V. Zenkov
Download or read book The Inverse Problem of the Calculus of Variations written by Dmitry V. Zenkov and published by Springer. This book was released on 2015-10-15 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the present book is to give a systematic treatment of the inverse problem of the calculus of variations, i.e. how to recognize whether a system of differential equations can be treated as a system for extremals of a variational functional (the Euler-Lagrange equations), using contemporary geometric methods. Selected applications in geometry, physics, optimal control, and general relativity are also considered. The book includes the following chapters: - Helmholtz conditions and the method of controlled Lagrangians (Bloch, Krupka, Zenkov) - The Sonin-Douglas's problem (Krupka) - Inverse variational problem and symmetry in action: The Ostrogradskyj relativistic third order dynamics (Matsyuk.) - Source forms and their variational completion (Voicu) - First-order variational sequences and the inverse problem of the calculus of variations (Urban, Volna) - The inverse problem of the calculus of variations on Grassmann fibrations (Urban).
Book Synopsis Calculus of Variations and Optimal Control Theory by : Daniel Liberzon
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
Author :R. Tyrrell Rockafellar Publisher :Springer Science & Business Media ISBN 13 :3642024319 Total Pages :747 pages Book Rating :4.6/5 (42 download)
Book Synopsis Variational Analysis by : R. Tyrrell Rockafellar
Download or read book Variational Analysis written by R. Tyrrell Rockafellar and published by Springer Science & Business Media. This book was released on 2009-06-26 with total page 747 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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.
Book Synopsis Variational Calculus by : Jean-Pierre Bourguignon
Download or read book Variational Calculus written by Jean-Pierre Bourguignon and published by Springer Nature. This book was released on 2022-12-14 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to the Calculus of Variations and its use in modelling mechanics and physics problems. Presenting a geometric approach to the subject, it progressively guides the reader through this very active branch of mathematics, accompanying key statements with a huge variety of exercises, some of them solved. Stressing the need to overcome limitations of the initial point of view, and emphasising the interconnectivity of various branches of mathematics (algebra, analysis and geometry), the book includes some advanced material to challenge the most motivated students. Systematic, short historical notes provide details on the subject’s odyssey, and how new tools have been developed over the last two centuries. This English translation updates a set of notes for a course first given at the École polytechnique in 1987. It will be accessible to graduate students and advanced undergraduates.
