An Introduction to the Calculus of Variations

Author: Charles Fox

Publisher: Courier Corporation

ISBN: 9780486654997

Category: Mathematics

Page: 271

View: 7639

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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: Hans Sagan

Publisher: Courier Corporation

ISBN: 048613802X

Category: Mathematics

Page: 480

View: 4310

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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: L.A. Pars

Publisher: Courier Corporation

ISBN: 0486165957

Category: Mathematics

Page: 368

View: 1835

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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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Calculus of Variations

Author: Robert Weinstock

Publisher: Courier Corporation

ISBN: 0486141063

Category: Mathematics

Page: 352

View: 9590

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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

Author: Lev D. Elsgolc

Publisher: Courier Corporation

ISBN: 0486154939

Category: Mathematics

Page: 192

View: 5914

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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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Calculus of Variations

Author: Izrail Moiseevitch Gelfand,Serge? Vasil?evich Fomin,Richard A. Silverman

Publisher: Courier Corporation

ISBN: 9780486414485

Category: Mathematics

Page: 232

View: 9358

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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.
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Lectures on the Calculus of Variations

Author: Oskar Bolza

Publisher: Courier Dover Publications

ISBN: 0486828875

Category: Mathematics

Page: 288

View: 2657

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Pioneering modern treatise studies the development of the subject from Euler to Hilbert, addressing basic problems with sufficient generality and rigor to provide a sound introduction for serious study. 1904 edition.
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Introduction to Nonlinear Differential and Integral Equations

Author: Harold Thayer Davis

Publisher: Courier Corporation

ISBN: 9780486609713

Category: Mathematics

Page: 566

View: 4532

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Topics covered include differential equations of the 1st order, the Riccati equation and existence theorems, 2nd order equations, elliptic integrals and functions, nonlinear mechanics, nonlinear integral equations, more. Includes 137 problems.
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Calculus of Variations

Mechanics, Control and Other Applications

Author: Charles R. MacCluer

Publisher: Courier Corporation

ISBN: 0486498379

Category: Mathematics

Page: 254

View: 3516

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The first truly up-to-date treatment of the calculus of variations, this text is also the first to offer a simple introduction to such key concepts as optimal control and linear-quadratic control design. Suitable for junior/senior–level students of math, science, and engineering, this volume also serves as a useful reference for engineers, chemists, and forest/environmental managers. Its broad perspective features numerous exercises, hints, outlines, and comments, plus several appendixes, including a practical discussion of MATLAB. Students will appreciate the text's reader-friendly style, which features gradual advancements in difficulty and starts by developing technique rather than focusing on technical details. The examples and exercises offer many citations of engineering-based applications, and the exercises range from elementary to graduate-level projects, including longer projects and those related to classic papers.
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Ordinary Differential Equations in the Complex Domain

Author: Einar Hille

Publisher: Courier Corporation

ISBN: 9780486696201

Category: Mathematics

Page: 484

View: 3353

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Graduate-level text offers full treatments of existence theorems, representation of solutions by series, theory of majorants, dominants and minorants, questions of growth, much more. Includes 675 exercises. Bibliography.
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