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Synopsis
This book is devoted to the basic variational principles of mechanics, namely the Lagrange-D’Alembert differential variational principle and the Hamilton integral variational principle. These two variational principles form the basis of contemporary analytical mechanics, and from them the body of classical dynamics can be deductively derived as a part of physical theory.
"An Introduction to Modern Variational Techniques in Mechanics and Engineering" will serve a broad audience of students, researchers, and professionals in analytical mechanics, applied variational calculus, optimal control, physics, and mechanical and aerospace engineering. The book may be used in graduate and senior undergraduate dynamics courses in engineering, applied mathematics, and physics departments, or it may also serve as a self-study reference text.
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Review
"[The book has] many examples and applications throughout the chapters.... It is intended to be only a suggestive exposition for graduate and senior undergraduate students in engineering, applied mathematics and physics.... The book should be useful for students in these quoted areas and those people with some knowledge in single-integral variational problems." ―Mathematical Reviews
"Variational principles have great utility in solving problems in analytical mechanics. During recent years attention has been drawn to the wide area of possibilities they offer and variational techniques are applied as important tools for studying linear and nonlinear problems in conservative and nonconservative dynamical systems. This book discusses the basic variational principles of contemporary analytical mechanics, presents a wide range of possibilities for applying them, and solves numerous concrete examples.... The book is suitable for self-study, for graduate students in applied mathematics, physics, engineering, it can be used as a text in graduate and senior undergraduate courses, and researchers also can have a practical usage of it." ―Bulletin of Belgian Mathematical Society
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- PublisherBirkhäuser
- Publication date2012
- ISBN 10 1461264677
- ISBN 13 9781461264675
- BindingPaperback
- LanguageEnglish
- Number of pages356
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An Introduction to Modern Variational Techniques in Mechanics and Engineering
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An Introduction to Modern Variational Techniques in Mechanics and Engineering
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An Introduction to Modern Variational Techniques in Mechanics and Engineering
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -\* Atanackovic has good track record with Birkhauser: his 'Theory of Elasticity' book (4072-X) has been well reviewed. \* Current text has received two excellent pre-pub reviews. \* May be used as textbook in advanced undergrad/beginning grad advanced dynamics courses in engineering, physics, applied math departments. \*Also useful as self-study reference for researchers and practitioners. \* Many examples and novel applications throughout. Competitive literature---Meirovich, Goldstein---is outdated and does not include the synthesis of topics presented here. 360 pp. Englisch. Seller Inventory # 9781461264675
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Many examples and novel applications throughoutCompetitive literature - Meirovich, Goldstein - is outdated and does not include the synthesis of topics presented here Will serve a broad audience in analytical mechanics, applied variational . Seller Inventory # 4189118
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An Introduction to Modern Variational Techniques in Mechanics and Engineering
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book is devoted to the basic variational principles of mechanics: the Lagrange-D'Alembert differential variational principle and the Hamilton integral variational principle. These two variational principles form the main subject of contemporary analytical mechanics, and from them the whole colossal corpus of classical dynamics can be deductively derived as a part of physical theory. In recent years students and researchers of engineering and physics have begun to realize the utility of variational principles and the vast possi bilities that they offer, and have applied them as a powerful tool for the study of linear and nonlinear problems in conservative and nonconservative dynamical systems. The present book has evolved from a series of lectures to graduate stu dents and researchers in engineering given by the authors at the Depart ment of Mechanics at the University of Novi Sad Serbia, and numerous foreign universities. The objective of the authors has been to acquaint the reader with the wide possibilities to apply variational principles in numerous problems of contemporary analytical mechanics, for example, the Noether theory for finding conservation laws of conservative and nonconservative dynamical systems, application of the Hamilton-Jacobi method and the field method suitable for nonconservative dynamical systems,the variational approach to the modern optimal control theory, the application of variational methods to stability and determining the optimal shape in the elastic rod theory, among others. Seller Inventory # 9781461264675
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An Introduction to Modern Variational Techniques in Mechanics and Engineering
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Taschenbuch. Condition: Neu. Neuware -This book is devoted to the basic variational principles of mechanics: the Lagrange-D'Alembert differential variational principle and the Hamilton integral variational principle. These two variational principles form the main subject of contemporary analytical mechanics, and from them the whole colossal corpus of classical dynamics can be deductively derived as a part of physical theory. In recent years students and researchers of engineering and physics have begun to realize the utility of variational principles and the vast possi bilities that they offer, and have applied them as a powerful tool for the study of linear and nonlinear problems in conservative and nonconservative dynamical systems. The present book has evolved from a series of lectures to graduate stu dents and researchers in engineering given by the authors at the Depart ment of Mechanics at the University of Novi Sad Serbia, and numerous foreign universities. The objective of the authors has been to acquaint the reader with the wide possibilities to apply variational principles in numerous problems of contemporary analytical mechanics, for example, the Noether theory for finding conservation laws of conservative and nonconservative dynamical systems, application of the Hamilton-Jacobi method and the field method suitable for nonconservative dynamical systems,the variational approach to the modern optimal control theory, the application of variational methods to stability and determining the optimal shape in the elastic rod theory, among others.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 360 pp. Englisch. Seller Inventory # 9781461264675
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