An Introduction to the Calculus of Variations

Author: Charles Fox
Publisher: Courier Corporation
ISBN: 9780486654997
Format: PDF, ePub, Docs
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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.

Introduction to the Calculus of Variations

Author: Hans Sagan
Publisher: Courier Corporation
ISBN: 048613802X
Format: PDF
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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.

Calculus of Variations

Author: Izrail Moiseevitch Gelfand
Publisher: Courier Corporation
ISBN: 9780486414485
Format: PDF, Kindle
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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.

An Introduction to the Calculus of Variations

Author: L.A. Pars
Publisher: Courier Corporation
ISBN: 0486165957
Format: PDF, Mobi
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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
Publisher: Courier Corporation
ISBN: 9780486630694
Format: PDF, ePub
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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
Publisher: Courier Corporation
ISBN: 0486154939
Format: PDF, Kindle
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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
Publisher: Courier Corporation
ISBN: 0486498379
Format: PDF
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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.

Introduction To The Calculus of Variations And Its Applications Second Edition

Author: Frederic Wan
Publisher: Routledge
ISBN: 1351436511
Format: PDF, ePub, Docs
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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
Publisher: Springer Science & Business Media
ISBN: 0387216979
Format: PDF, ePub, Mobi
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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.

The Variational Principles of Mechanics

Author: Cornelius Lanczos
Publisher: Courier Corporation
ISBN: 0486134709
Format: PDF, ePub
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Philosophic, less formalistic approach to analytical mechanics offers model of clear, scholarly exposition at graduate level with coverage of basics, calculus of variations, principle of virtual work, equations of motion, more.