[PDF] Introduction To The Calculus Of Variations And Its Applications eBook

Author : Frederic Wan
Publisher : Routledge
Page : 640 pages
File Size : 21,95 MB
Release : 2017-10-19
Category : Mathematics
ISBN : 135143652X

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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.

Author : John A. Burns
Publisher : CRC Press
Page : 562 pages
File Size : 11,4 MB
Release : 2013-08-28
Category : Mathematics
ISBN : 1466571403

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Introduction to the Calculus of Variations and Control with Modern Applications provides the fundamental background required to develop rigorous necessary conditions that are the starting points for theoretical and numerical approaches to modern variational calculus and control problems. The book also presents some classical sufficient conditions a

Author : Frederic Wan
Publisher : Routledge
Page : 660 pages
File Size : 15,56 MB
Release : 2017-10-19
Category : Mathematics
ISBN : 1351436511

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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.

Author : Hans Sagan
Publisher : Courier Corporation
Page : 484 pages
File Size : 37,71 MB
Release : 2012-04-26
Category : Mathematics
ISBN : 048613802X

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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.

Author : L.A. Pars
Publisher : Courier Corporation
Page : 358 pages
File Size : 44,51 MB
Release : 2013-12-10
Category : Mathematics
ISBN : 0486165957

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Clear, rigorous introductory treatment covers applications to geometry, dynamics, and physics. It focuses upon problems with one independent variable, connecting abstract theory with its use in concrete problems. 1962 edition.

Author : Hansjörg Kielhöfer
Publisher : Springer
Page : 242 pages
File Size : 34,36 MB
Release : 2018-01-25
Category : Mathematics
ISBN : 3319711237

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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 : Charles R. MacCluer
Publisher : Courier Corporation
Page : 274 pages
File Size : 19,18 MB
Release : 2013-05-20
Category : Mathematics
ISBN : 0486278301

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First truly up-to-date treatment offers a simple introduction to optimal control, linear-quadratic control design, and more. Broad perspective features numerous exercises, hints, outlines, and appendixes, including a practical discussion of MATLAB. 2005 edition.

Author : Bruce van Brunt
Publisher : Springer Science & Business Media
Page : 295 pages
File Size : 33,99 MB
Release : 2006-04-18
Category : Mathematics
ISBN : 0387216979

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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.

Author : I. M. Gelfand
Publisher : Courier Corporation
Page : 260 pages
File Size : 39,98 MB
Release : 2012-04-26
Category : Mathematics
ISBN : 0486135012

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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.