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Lagrangian and Hamiltonian Dynamics
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Lagrangian and Hamiltonian Dynamics

Lagrangian and Hamiltonian Dynamics

Peter mann

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560 pages, parution le 14/06/2018
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Résumé

Peter Mann completed his undergraduate degree in Chemistry at the University of St Andrews. He is now a PhD student at the University of St Andrews investigating spreading phenomena on complex networks and how antibiotic resistance proliferates on different network topologies.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.IllustrationsQC20.7.C3Lagrangian functions.|Hamiltonian systems.1EnglandOxford9780198822370Peter Mann.

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  PAPIER
Éditeur(s) Oxford
Auteur(s) Peter mann
Parution 14/06/2018
Nb. de pages 560
Format 189 x 246
Poids 1166g
EAN13 9780198822387

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