introduction to the calculus of variations dover books on mathematics

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An Introduction To The Calculus Of Variations

Author : Charles Fox
ISBN : 0486654990
Genre : Mathematics
File Size : 83. 63 MB
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In this highly regarded text for advanced undergraduate and graduate students, the author develops the calculus of variations both for its intrinsic interest and for its powerful applications to modern mathematical physics. Topics include first and second variations of an integral, generalizations, isoperimetrical problems, least action, special relativity, elasticity, more. 1963 edition.

Calculus Of Variations

Author : Izrail Moiseevitch Gelfand
ISBN : 0486414485
Genre : Mathematics
File Size : 49. 79 MB
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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.

Introduction To The Calculus Of Variations

Author : Hans Sagan
ISBN : 9780486138022
Genre : Mathematics
File Size : 75. 80 MB
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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.

An Introduction To The Calculus Of Variations

Author : L.A. Pars
ISBN : 9780486165950
Genre : Mathematics
File Size : 28. 93 MB
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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.

Calculus Of Variations

Author : Robert Weinstock
ISBN : 0486630692
Genre : Mathematics
File Size : 73. 14 MB
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This text is basically divided into two parts. Chapters 1–4 include background material, basic theorems and isoperimetric problems. Chapters 5–12 are devoted to applications, geometrical optics, particle dynamics, the theory of elasticity, electrostatics, quantum mechanics, and other topics. Exercises in each chapter. 1952 edition.

Calculus Of Variations

Author : Lev D. Elsgolc
ISBN : 9780486154930
Genre : Mathematics
File Size : 74. 22 MB
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This text offers an introduction to the fundamentals and standard methods of the calculus of variations, covering fixed and movable boundaries, plus solutions of variational problems. 1961 edition.

Calculus Of Variations

Author : Charles R. MacCluer
ISBN : 9780486278308
Genre : Mathematics
File Size : 59. 88 MB
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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.

Introduction To The Calculus Of Variations And Its Applications Second Edition

Author : Frederic Wan
ISBN : 9781351436519
Genre : Mathematics
File Size : 85. 26 MB
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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.

The Calculus Of Variations

Author : Bruce van Brunt
ISBN : 9780387216973
Genre : Mathematics
File Size : 31. 41 MB
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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.

Functional Analysis Calculus Of Variations And Optimal Control

Author : Francis Clarke
ISBN : 9781447148203
Genre : Mathematics
File Size : 79. 68 MB
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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.

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