Introduction to the Calculus of Variations

Author: Hans Sagan

Publisher: Courier Corporation

ISBN: 048613802X

Category: Mathematics

Page: 480

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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.
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An Introduction to the Calculus of Variations

Author: Charles Fox

Publisher: Courier Corporation

ISBN: 9780486654997

Category: Mathematics

Page: 271

View: 670

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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.
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Introduction to the Calculus of Variations

Author: Bernard Dacorogna

Publisher: Imperial College Press

ISBN: 1860945082

Category: Mathematics

Page: 228

View: 5054

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- Serves as an excellent introduction to the calculus of variations - Useful to researchers in different fields of mathematics who want to get a concise but broad introduction to the subject - Includes more than 70 exercises with solutions
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Calculus of Variations

An Introduction to the One-Dimensional Theory with Examples and Exercises

Author: Hansjörg Kielhöfer

Publisher: Springer

ISBN: 3319711237

Category: Mathematics

Page: 227

View: 2259

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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.
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Introduction to the Calculus of Variations

Third Edition

Author: Bernard Dacorogna

Publisher: World Scientific Publishing Company

ISBN: 178326554X

Category: Mathematics

Page: 324

View: 5728

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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.
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Introduction To The Calculus of Variations And Its Applications, Second Edition

Author: Frederic Wan

Publisher: Routledge

ISBN: 1351436511

Category: Mathematics

Page: 640

View: 4204

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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.
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Calculus of Variations

Author: Robert Weinstock

Publisher: Courier Corporation

ISBN: 0486141063

Category: Mathematics

Page: 352

View: 5311

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Basic introduction covering isoperimetric problems, theory of elasticity, quantum mechanics, electrostatics, geometrical optics, particle dynamics, more. Exercises throughout. "A very useful book." — J. L. Synge, American Mathematical Monthly.
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Calculus of Variations

Mechanics, Control and Other Applications

Author: Charles R. MacCluer

Publisher: Courier Corporation

ISBN: 0486278301

Category: Mathematics

Page: 272

View: 6929

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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.
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Calculus of Variations

Author: Lev D. Elsgolc

Publisher: Courier Corporation

ISBN: 0486154939

Category: Mathematics

Page: 192

View: 9967

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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.
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An Introduction to the Calculus of Variations

Author: L.A. Pars

Publisher: Courier Corporation

ISBN: 0486165957

Category: Mathematics

Page: 368

View: 9604

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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.
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