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Classical Mechanics: Hamiltonian and Lagrangian Formalism - Hardcover

 
9783642140365: Classical Mechanics: Hamiltonian and Lagrangian Formalism
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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 exposition of the material. The mathematical constructions involved are explicitly described and explained, so the book can be a good starting point for the undergraduate student new to this field. At the same time and where possible, intuitive motivations are replaced by explicit proofs and direct computations, preserving the level of rigor that makes the book useful for the graduate students intending to work in one of the branches of the vast field of theoretical physics. To illustrate how classical-mechanics formalism works in other branches of theoretical physics, examples related to electrodynamics, as well as to relativistic and quantum mechanics, are included.

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“The aim of the author of this interesting book is to present the main ideas of Hamiltonian mechanics and allied topics, by using just elementary mathematical methods. ... To illustrate how classical mechanics formalism works in other branches of theoretical physics, examples related to electrodynamics, as well as to relativistic and quantum mechanics, are included. This handbook is well addressed to undergraduate students in physics.” (Franco Cardin, Zentralblatt MATH, Vol. 1206, 2011)

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  • PublisherSpringer
  • Publication date2010
  • ISBN 10 364214036X
  • ISBN 13 9783642140365
  • BindingHardcover
  • Number of pages320

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Book Description Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. With worked examples, 55 end of chapter exercises and chapter summariesThe equivalence of various definitions of the canonical transformation is proved explicitly, in contrast to competing books Discussion of (global) symmetries and the. Seller Inventory # 5050379

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Book Description Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Hamiltonian formalism of classical mechanics is the basis of a few powerful mathematical methods, widely used in theoretical and mathematical physics. In this book we have collected the basic facts of the Hamiltonian mechanics as well as the related topics: canonical transformations, integral invariants, potential motion in geometric setting, symmetries and the Noether theorem. Only the elementary mathematical methods are used in the exposition of the material. The only prerequisites are linear algebra, multivariable calculus and some familiarity with the Lagrangian formulation of classical mechanics. Other mathematical constructions involved are explicitly described and explained, so the book can be a good starting point for the undergraduate student new to this field. At the same time we have tried, where possible, to replace the intuitive motivations by explicit proofs and direct computations, preserving the level of rigor that makes the book useful for the graduate students intended to work in one of the branches of a vast field of theoretical physics. 320 pp. Englisch. Seller Inventory # 9783642140365

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Book Description Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Hamiltonian formalism of classical mechanics is the basis of a few powerful mathematical methods, widely used in theoretical and mathematical physics. In this book we have collected the basic facts of the Hamiltonian mechanics as well as the related topics: canonical transformations, integral invariants, potential motion in geometric setting, symmetries and the Noether theorem. Only the elementary mathematical methods are used in the exposition of the material. The only prerequisites are linear algebra, multivariable calculus and some familiarity with the Lagrangian formulation of classical mechanics. Other mathematical constructions involved are explicitly described and explained, so the book can be a good starting point for the undergraduate student new to this field. At the same time we have tried, where possible, to replace the intuitive motivations by explicit proofs and direct computations, preserving the level of rigor that makes the book useful for the graduate students intended to work in one of the branches of a vast field of theoretical physics. Seller Inventory # 9783642140365

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