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 #  AuthorTitleAccn#YearItem Type Claims
1 Basdevant, Jean-Louis Variational Principles in Physics I12603 2023 eBook  
2 Bedford, Anthony Hamilton???s Principle in Continuum Mechanics I11933 2021 eBook  
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TitleVariational Principles in Physics
Author(s)Basdevant, Jean-Louis
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2023.
DescriptionXIII, 242 p. 46 illus., 10 illus. in color : online resource
Abstract NoteThis revised and enhanced new edition of a well-established textbook provides a balanced overview of various areas of theoretical physics based on the use of variational principles. As well as field theory, the book deals with motion in curved spaces, the cradle of general relativity, and gravitational optics. New chapters on the relation of classical mechanics and geometrical optics as well as gravitational waves, which are considered as a true confirmation of general relativity, have been included. Each chapter has been carefully revised and enlarged. Finally, the text describes Feynman's formulation of quantum mechanics by path integrals, which gives the link between quantum and classical mechanics. The book provides a set of exercises, problems, and solutions
ISBN,Price9783031216923
Keyword(s)1. CALCULUS OF VARIATIONS 2. Calculus of Variations and Optimization 3. CLASSICAL MECHANICS 4. EBOOK - SPRINGER 5. ENGINEERING MECHANICS 6. Mathematical Methods in Physics 7. MATHEMATICAL OPTIMIZATION 8. MATHEMATICAL PHYSICS 9. MECHANICS 10. Mechanics, Applied 11. OPTIMIZATION 12. Philosophical Foundations of Physics and Astronomy 13. PHYSICS
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I12603     On Shelf    

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TitleHamilton???s Principle in Continuum Mechanics
Author(s)Bedford, Anthony
PublicationCham, Springer International Publishing, 2021.
DescriptionXIV, 104 p. 16 illus : online resource
Abstract NoteThis revised, updated edition provides a comprehensive and rigorous description of the application of Hamilton???s principle to continuous media. To introduce terminology and initial concepts, it begins with what is called the first problem of the calculus of variations. For both historical and pedagogical reasons, it first discusses the application of the principle to systems of particles, including conservative and non-conservative systems and systems with constraints. The foundations of mechanics of continua are introduced in the context of inner product spaces. With this basis, the application of Hamilton???s principle to the classical theories of fluid and solid mechanics are covered. Then recent developments are described, including materials with microstructure, mixtures, and continua with singular surfaces. Presents a comprehensive, rigorous description of the application of Hamilton???s principle to continuous media; Includes recent applications of the principle to continua with microstructure, mixtures, and media with surfaces of discontinuity; Discusses foundations of continuum mechanics and variational methods therein in the context of linear vector spaces
ISBN,Price9783030903060
Keyword(s)1. ALGEBRA 2. CALCULUS OF VARIATIONS 3. Calculus of Variations and Optimization 4. Classical and Continuum Physics 5. CONTINUUM MECHANICS 6. EBOOK 7. EBOOK - SPRINGER 8. ENGINEERING MECHANICS 9. MATHEMATICAL OPTIMIZATION 10. MATHEMATICAL PHYSICS 11. Mechanics, Applied 12. PHYSICS
Item TypeeBook
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I11933     On Shelf    

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