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Lagrangian and Hamiltonian Dynamics
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kr 44
Lagrangian and 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 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.
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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.
Produktdetaljer
Sprog: Engelsk
Sider: 560
ISBN-13: 9780198822387
Indbinding: Paperback
Udgave:
ISBN-10: 0198822383
Kategori: Klassisk mekanik
Udg. Dato: 5 jun 2018
Længde: 33mm
Bredde: 245mm
Højde: 189mm
Oplagsdato: 5 jun 2018
Forfatter(e) Peter (St Andrews University Mann, Peter Mann


Kategori Klassisk mekanik


Sprog Engelsk


Indbinding Paperback


Sider 560


Udgave


Længde 33mm


Bredde 245mm


Højde 189mm

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