INTRODUCTION TO THE CALCULUS OF VARIATIONS

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An Introduction To The Calculus Of Variations

Author : Charles Fox
ISBN : 0486654990
Genre : Mathematics
File Size : 50.42 MB
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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.
Category: Mathematics

Introduction To The Calculus Of Variations

Author : Hans Sagan
ISBN : 9780486138022
Genre : Mathematics
File Size : 89.50 MB
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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.
Category: Mathematics

Introduction To The Calculus Of Variations

Author : U. Brechteken-Mandersch
ISBN : 0412366908
Genre : Mathematics
File Size : 28.88 MB
Format : PDF
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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.
Category: Mathematics

Introduction To The Calculus Of Variations

Author : Bernard Dacorogna
ISBN : 9781860945083
Genre : Mathematics
File Size : 54.42 MB
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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
Category: Mathematics

Introduction To The Calculus Of Variations And Its Applications Second Edition

Author : Frederic Wan
ISBN : 9781351436519
Genre : Mathematics
File Size : 20.61 MB
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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.
Category: Mathematics

An Introduction To The Calculus Of Variations

Author : L.A. Pars
ISBN : 9780486165950
Genre : Mathematics
File Size : 81.92 MB
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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.
Category: Mathematics

Calculus Of Variations

Author : Hansjörg Kielhöfer
ISBN : 9783319711232
Genre : Mathematics
File Size : 81.40 MB
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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.
Category: Mathematics

Calculus Of Variations

Author : Robert Weinstock
ISBN : 0486630692
Genre : Mathematics
File Size : 61.17 MB
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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.
Category: Mathematics

Introduction To The Calculus Of Variations

Author : William Elwood Byerly
ISBN : 0341743844
Genre :
File Size : 62.22 MB
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This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
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Introduction To The Calculus Of Variations And Control With Modern Applications

Author : John A. Burns
ISBN : 9781466571396
Genre : Mathematics
File Size : 36.75 MB
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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 and discusses the importance of distinguishing between the necessary and sufficient conditions. In the first part of the text, the author develops the calculus of variations and provides complete proofs of the main results. He explains how the ideas behind the proofs are essential to the development of modern optimization and control theory. Focusing on optimal control problems, the second part shows how optimal control is a natural extension of the classical calculus of variations to more complex problems. By emphasizing the basic ideas and their mathematical development, this book gives you the foundation to use these mathematical tools to then tackle new problems. The text moves from simple to more complex problems, allowing you to see how the fundamental theory can be modified to address more difficult and advanced challenges. This approach helps you understand how to deal with future problems and applications in a realistic work environment.
Category: Mathematics