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Lagrangian & Hamiltonian dynamics / Peter Mann, University of St Andrews.

By: Mann, Peter, 1994- [author.].
Material type: TextTextPublisher: Oxford, United Kingdom : Oxford University Press, 2018Copyright date: ©2018Edition: First edition.Description: xiv, 538 pages : UKP 24.99 illustrations (some color), portraits ; 25 cm.Content type: text Media type: unmediated Carrier type: volumeISBN: 9780198822387 (pbk.); 0198822375; 0198822383.Other title: Lagrangian and Hamiltonian dynamics.Subject(s): Mechanics, Analytic | Hamiltonian systems | Lagrangian functions | Hamiltonian systems | Lagrangian functions | Hamilton-Formalismus | Lagrange-Formalismus | Theoretische MechanikDDC classification: 515.39 Summary: "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.
List(s) this item appears in: 2019-01-09
Item type Current location Call number Status Date due Barcode Item holds
Book Chennai Mathematical Institute
General Stacks
531 MAN (Browse shelf) Available 10543
Total holds: 0

Includes bibliographical references (pages 527-532) and index.

"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.