An Introduction To The Calculus Of Variations

Author : Charles Fox
Publisher : Courier Corporation
Page : 308 pages
File Size : 54,5 Mb
Release : 1987-01-01
Category : Mathematics
ISBN : 0486654990

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An Introduction to the Calculus of Variations by Charles Fox Pdf

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.

Author : L.A. Pars
Publisher : Courier Corporation
Page : 368 pages
File Size : 40,9 Mb
Release : 2013-12-10
Category : Mathematics
ISBN : 9780486165950

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An Introduction to the Calculus of Variations by L.A. Pars Pdf

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 : Hans Sagan
Publisher : Courier Corporation
Page : 484 pages
File Size : 48,6 Mb
Release : 2012-04-26
Category : Mathematics
ISBN : 9780486138022

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Introduction to the Calculus of Variations by Hans Sagan Pdf

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 : Charles Fox
Publisher : Unknown
Page : 290 pages
File Size : 51,5 Mb
Release : 1950
Category : Calculus of variations
ISBN : UOM:39015064426979

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An Introduction to the Calculus of Variations by Charles Fox Pdf

Author : Anonim
Publisher : Unknown
Page : 271 pages
File Size : 41,8 Mb
Release : 1950
Category : Calculus of variations
ISBN : LCCN:51003039

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An Introduction to the Calculus of Variations by Anonim Pdf

Author : Hansjörg Kielhöfer
Publisher : Springer
Page : 227 pages
File Size : 50,9 Mb
Release : 2018-01-25
Category : Mathematics
ISBN : 9783319711232

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Calculus of Variations by Hansjörg Kielhöfer Pdf

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 : William Elwood Byerly
Publisher : Unknown
Page : 66 pages
File Size : 43,9 Mb
Release : 1917
Category : Calculus of variations
ISBN : STANFORD:36105002054752

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Introduction to the Calculus of Variations by William Elwood Byerly Pdf

Author : Frederic Wan
Publisher : CRC Press
Page : 660 pages
File Size : 50,7 Mb
Release : 1995-01-01
Category : Mathematics
ISBN : 0412051419

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Introduction To The Calculus of Variations And Its Applications, Second Edition by Frederic Wan Pdf

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 : Bernard Dacorogna
Publisher : Imperial College Press
Page : 241 pages
File Size : 51,8 Mb
Release : 2009
Category : Mathematics
ISBN : 9781848163331

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Introduction to the Calculus of Variations by Bernard Dacorogna Pdf

The calculus of variations is one of the oldest subjects in mathematics, yet is very much alive and is 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, the chapter on regularity has been significantly expanded and 27 new exercises have been added. The book, containing a total of 103 exercises with detailed solutions, is well designed for a course at both undergraduate and graduate levels.

Author : John A. Burns
Publisher : CRC Press
Page : 562 pages
File Size : 43,8 Mb
Release : 2013-08-28
Category : Mathematics
ISBN : 9781466571402

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Introduction to the Calculus of Variations and Control with Modern Applications by John A. Burns Pdf

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 : Bruce van Brunt
Publisher : Springer Science & Business Media
Page : 292 pages
File Size : 44,9 Mb
Release : 2006-04-18
Category : Mathematics
ISBN : 9780387216973

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The Calculus of Variations by Bruce van Brunt Pdf

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 : Bernard Dacorogna
Publisher : World Scientific Publishing Company
Page : 324 pages
File Size : 43,7 Mb
Release : 2014-08-13
Category : Mathematics
ISBN : 9781783265541

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Introduction to the Calculus of Variations by Bernard Dacorogna Pdf

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.

Author : Izrail Moiseevitch Gelfand,Serge? Vasil?evich Fomin,Richard A. Silverman
Publisher : Courier Corporation
Page : 260 pages
File Size : 44,6 Mb
Release : 2000-01-01
Category : Mathematics
ISBN : 0486414485

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Calculus of Variations by Izrail Moiseevitch Gelfand,Serge? Vasil?evich Fomin,Richard A. Silverman Pdf

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.

Author : Frederic Wan
Publisher : Routledge
Page : 381 pages
File Size : 42,5 Mb
Release : 2017-10-19
Category : Mathematics
ISBN : 9781351436519

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Introduction To The Calculus of Variations And Its Applications by Frederic Wan Pdf

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 : I. M. Gelfand,S. V. Fomin
Publisher : Courier Corporation
Page : 240 pages
File Size : 52,7 Mb
Release : 2012-04-26
Category : Mathematics
ISBN : 9780486135014

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Calculus of Variations by I. M. Gelfand,S. V. Fomin Pdf

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.