Lagrangian & Hamiltonian dynamics /:
"An introductory textbook exploring the subject of Lagrangian and Hamiltonian dynamics, with a relaxed and self-contained setting. Lagrangian and Hamiltonian dynamics is the continuation of Newton's classical physics into new formalisms, each highlighting novel aspects of mechanics that gr...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Oxford, United Kingdom :
Oxford University Press,
2018.
|
| Ausgabe: | First edition. |
| Schlagworte: | |
| Online-Zugang: | DE-862 DE-863 |
| Zusammenfassung: | "An introductory textbook exploring the subject of Lagrangian and Hamiltonian dynamics, with a relaxed and self-contained setting. Lagrangian and Hamiltonian dynamics is the continuation of Newton's classical physics into new formalisms, each highlighting novel aspects of mechanics that gradually build in complexity to form the basis for almost all of theoretical physics. Lagrangian and Hamiltonian dynamics also acts as a gateway to more abstract concepts routed in differential geometry and field theories and can be used to introduce these subject areas to newcomers. Journeying in a self-contained manner from the very basics, through the fundamentals and onwards to the cutting edge of the subject, along the way the reader is supported by all the necessary background mathematics, fully worked examples, thoughtful and vibrant illustrations as well as an informal narrative and numerous fresh, modern and inter-disciplinary applications. The book contains some unusual topics for a classical mechanics textbook. Most notable examples include the 'classical wavefunction', Koopman-von Neumann theory, classical density functional theories, the 'vakonomic' variational principle for non-holonomic constraints, the Gibbs-Appell equations, classical path integrals, Nambu brackets and the full framing of mechanics in the language of differential geometry."-- |
| Beschreibung: | 1 online resource |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9780191861253 0191861251 9780192555410 0192555413 |
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| 245 | 1 | 0 | |a Lagrangian & Hamiltonian dynamics / |c Peter Mann, University of St Andrews. |
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| contents | Part I : Newtonian mechanics -- Part II : Lagrangian mechanics -- Part III : Canonical mechanics. |
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| discipline | Physik |
| edition | First edition. |
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| spelling | Mann, Peter, 1994- author. https://id.oclc.org/worldcat/entity/E39PCjr73dCqRbKcGDCkXvp44m http://id.loc.gov/authorities/names/no2018100497 Lagrangian & Hamiltonian dynamics / Peter Mann, University of St Andrews. First edition. Oxford, United Kingdom : Oxford University Press, 2018. ©2018 1 online resource text txt rdacontent computer c rdamedia online resource cr rdacarrier Online resource; title from PDF title page (EBSCO, viewed May 16, 2018). Includes bibliographical references and index. Part I : Newtonian mechanics -- Part II : Lagrangian mechanics -- Part III : Canonical mechanics. "An introductory textbook exploring the subject of Lagrangian and Hamiltonian dynamics, with a relaxed and self-contained setting. Lagrangian and Hamiltonian dynamics is the continuation of Newton's classical physics into new formalisms, each highlighting novel aspects of mechanics that gradually build in complexity to form the basis for almost all of theoretical physics. Lagrangian and Hamiltonian dynamics also acts as a gateway to more abstract concepts routed in differential geometry and field theories and can be used to introduce these subject areas to newcomers. Journeying in a self-contained manner from the very basics, through the fundamentals and onwards to the cutting edge of the subject, along the way the reader is supported by all the necessary background mathematics, fully worked examples, thoughtful and vibrant illustrations as well as an informal narrative and numerous fresh, modern and inter-disciplinary applications. The book contains some unusual topics for a classical mechanics textbook. Most notable examples include the 'classical wavefunction', Koopman-von Neumann theory, classical density functional theories, the 'vakonomic' variational principle for non-holonomic constraints, the Gibbs-Appell equations, classical path integrals, Nambu brackets and the full framing of mechanics in the language of differential geometry."-- Provided by publisher Mechanics, Analytic. http://id.loc.gov/authorities/subjects/sh85082768 Hamiltonian systems. http://id.loc.gov/authorities/subjects/sh85058563 Lagrangian functions. http://id.loc.gov/authorities/subjects/sh85073965 Mécanique analytique. Systèmes hamiltoniens. Fonctions de Lagrange. SCIENCE Mechanics General. bisacsh SCIENCE Mechanics Solids. bisacsh Lagrangian functions fast Hamiltonian systems fast Mechanics, Analytic fast Electronic books. Electronic book. Print version: Mann, Peter, 1994- Lagrangian & Hamiltonian dynamics. First edition. Oxford, United Kingdom : Oxford University Press, 2018 0198822375 (DLC) 2017960667 (OCoLC)1016938621 |
| spellingShingle | Mann, Peter, 1994- Lagrangian & Hamiltonian dynamics / Part I : Newtonian mechanics -- Part II : Lagrangian mechanics -- Part III : Canonical mechanics. Mechanics, Analytic. http://id.loc.gov/authorities/subjects/sh85082768 Hamiltonian systems. http://id.loc.gov/authorities/subjects/sh85058563 Lagrangian functions. http://id.loc.gov/authorities/subjects/sh85073965 Mécanique analytique. Systèmes hamiltoniens. Fonctions de Lagrange. SCIENCE Mechanics General. bisacsh SCIENCE Mechanics Solids. bisacsh Lagrangian functions fast Hamiltonian systems fast Mechanics, Analytic fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85082768 http://id.loc.gov/authorities/subjects/sh85058563 http://id.loc.gov/authorities/subjects/sh85073965 |
| title | Lagrangian & Hamiltonian dynamics / |
| title_auth | Lagrangian & Hamiltonian dynamics / |
| title_exact_search | Lagrangian & Hamiltonian dynamics / |
| title_full | Lagrangian & Hamiltonian dynamics / Peter Mann, University of St Andrews. |
| title_fullStr | Lagrangian & Hamiltonian dynamics / Peter Mann, University of St Andrews. |
| title_full_unstemmed | Lagrangian & Hamiltonian dynamics / Peter Mann, University of St Andrews. |
| title_short | Lagrangian & Hamiltonian dynamics / |
| title_sort | lagrangian hamiltonian dynamics |
| topic | Mechanics, Analytic. http://id.loc.gov/authorities/subjects/sh85082768 Hamiltonian systems. http://id.loc.gov/authorities/subjects/sh85058563 Lagrangian functions. http://id.loc.gov/authorities/subjects/sh85073965 Mécanique analytique. Systèmes hamiltoniens. Fonctions de Lagrange. SCIENCE Mechanics General. bisacsh SCIENCE Mechanics Solids. bisacsh Lagrangian functions fast Hamiltonian systems fast Mechanics, Analytic fast |
| topic_facet | Mechanics, Analytic. Hamiltonian systems. Lagrangian functions. Mécanique analytique. Systèmes hamiltoniens. Fonctions de Lagrange. SCIENCE Mechanics General. SCIENCE Mechanics Solids. Lagrangian functions Hamiltonian systems Mechanics, Analytic Electronic books. Electronic book. |
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