Description |
1 online resource (xii, 308 pages) : illustrations |
Contents |
Classical Mechanics; Preface; Contents; Chapter 1 Sketch of Lagrangian Formalism; Chapter 2 Hamiltonian Formalism; Chapter 3 Canonical Transformations of Two-Dimensional Phase Space; Chapter 4 Properties of Canonical Transformations; Chapter 5 Integral Invariants; Chapter 6 Potential Motion in a Geometric Setting; Chapter 7 Transformations, Symmetries and Noether Theorem; Chapter 8 Hamiltonian Formalism for Singular Theories; Bibliography; Index |
Summary |
Formalism of classical mechanics underlies a number of powerful mathematical methods that are widely used in theoretical and mathematical physics. This book considers the basics facts of Lagrangian and Hamiltonian mechanics, as well as related topics, such as canonical transformations, integral invariants, potential motion in geometric setting, symmetries, the Noether theorem and systems with constraints. While in some cases the formalism is developed beyond the traditional level adopted in the standard textbooks on classical mechanics, only elementary mathematical methods are used in the expo |
Bibliography |
Includes bibliographical references (pages 303-304) and index |
Notes |
Print version record |
In |
Springer eBooks |
Subject |
Mechanics.
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Mechanics
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mechanics (physics)
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SCIENCE -- Mechanics -- General.
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SCIENCE -- Mechanics -- Solids.
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Mechanics.
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Lagrangian functions.
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Hamiltonian systems.
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Physique.
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Mechanics
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Form |
Electronic book
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LC no. |
2010932503 |
ISBN |
9783642140372 |
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3642140378 |
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