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An Introduction To The Calculus Of Variations

An Introduction to the Calculus of Variations PDF
Author: Charles Fox
Publisher: Courier Corporation
Release: 1987-01-01
Size: 79.55 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 271
View: 7548

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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

Introduction to the Calculus of Variations PDF
Author: Hans Sagan
Publisher: Courier Corporation
Release: 2012-04-26
Size: 34.19 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 480
View: 2541

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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.

Introduction To The Calculus Of Variations

Introduction to the Calculus of Variations PDF
Author: Bernard Dacorogna
Publisher: Imperial College Press
Release: 2004
Size: 34.79 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 228
View: 7076

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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

Introduction To The Calculus Of Variations

Introduction to the Calculus of Variations PDF
Author: U. Brechteken-Mandersch
Publisher: CRC Press
Release: 1991-06-01
Size: 65.47 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 208
View: 4461

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This text provides a clear, concise introduction to the calculus of variations. The introductory chapter provides a general sense of the subject through a discussion of several classical and contemporary examples of the subject's use.

An Introduction To The Calculus Of Variations

An Introduction to the Calculus of Variations PDF
Author: L.A. Pars
Publisher: Courier Corporation
Release: 2013-12-10
Size: 12.58 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 368
View: 4113

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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

Calculus of Variations PDF
Author: Hansjörg Kielhöfer
Publisher: Springer
Release: 2018-01-25
Size: 55.35 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 227
View: 1641

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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.

Introduction To The Calculus Of Variations And Its Applications

Introduction To The Calculus of Variations And Its Applications PDF
Author: Frederic Wan
Publisher: Routledge
Release: 2017-10-19
Size: 21.75 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 640
View: 7243

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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.

Introduction To The Calculus Of Variations

Introduction to the Calculus of Variations PDF
Author: Bernard Dacorogna
Publisher: World Scientific Publishing Company
Release: 2014-08-13
Size: 13.47 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 324
View: 4421

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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.

The Calculus Of Variations And Optimal Control

The Calculus of Variations and Optimal Control PDF
Author: George Leitmann
Publisher: Springer Science & Business Media
Release: 2013-06-29
Size: 28.43 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 312
View: 4654

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When the Tyrian princess Dido landed on the North African shore of the Mediterranean sea she was welcomed by a local chieftain. He offered her all the land that she could enclose between the shoreline and a rope of knotted cowhide. While the legend does not tell us, we may assume that Princess Dido arrived at the correct solution by stretching the rope into the shape of a circular arc and thereby maximized the area of the land upon which she was to found Carthage. This story of the founding of Carthage is apocryphal. Nonetheless it is probably the first account of a problem of the kind that inspired an entire mathematical discipline, the calculus of variations and its extensions such as the theory of optimal control. This book is intended to present an introductory treatment of the calculus of variations in Part I and of optimal control theory in Part II. The discussion in Part I is restricted to the simplest problem of the calculus of variations. The topic is entirely classical; all of the basic theory had been developed before the turn of the century. Consequently the material comes from many sources; however, those most useful to me have been the books of Oskar Bolza and of George M. Ewing. Part II is devoted to the elementary aspects of the modern extension of the calculus of variations, the theory of optimal control of dynamical systems.

The Calculus Of Variations

The Calculus of Variations PDF
Author: Bruce van Brunt
Publisher: Springer Science & Business Media
Release: 2006-04-18
Size: 75.99 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 292
View: 4598

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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.