Theoretical Physics 2

Analytical Mechanics

Nonfiction, Science & Nature, Science, Physics, Mechanics, Mathematical Physics
Cover of the book Theoretical Physics 2 by Wolfgang Nolting, Springer International Publishing
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Author: Wolfgang Nolting ISBN: 9783319401294
Publisher: Springer International Publishing Publication: June 28, 2016
Imprint: Springer Language: English
Author: Wolfgang Nolting
ISBN: 9783319401294
Publisher: Springer International Publishing
Publication: June 28, 2016
Imprint: Springer
Language: English

This textbook offers a clear and comprehensive introduction to analytical mechanics, one of the core components of undergraduate physics courses.  The book starts with a thorough introduction into Lagrangian mechanics, detailing the d’Alembert principle, Hamilton’s principle and conservation laws. It continues with an in-depth explanation of Hamiltonian mechanics, illustrated by canonical and Legendre transformation, the generalization to quantum mechanics through Poisson brackets and all relevant variational principles. Finally, the Hamilton-Jacobi theory and the transition to wave mechanics are presented in detail.

Ideally suited to undergraduate students with some grounding in classical mechanics, the book is enhanced throughout with learning features such as boxed inserts and chapter summaries, with key mathematical derivations highlighted to aid understanding.  The text is supported by numerous worked examples and end of chapter problem sets. 

About the Theoretical Physics series

Translated from the renowned and highly successful German editions, the eight volumes of this series cover the complete core curriculum of theoretical physics at undergraduate level. Each volume is self-contained and provides all the material necessary for the individual course topic. Numerous problems with detailed solutions support a deeper understanding.  Wolfgang Nolting is famous for his refined didactical style and has been referred to as the "German Feynman" in reviews.

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This textbook offers a clear and comprehensive introduction to analytical mechanics, one of the core components of undergraduate physics courses.  The book starts with a thorough introduction into Lagrangian mechanics, detailing the d’Alembert principle, Hamilton’s principle and conservation laws. It continues with an in-depth explanation of Hamiltonian mechanics, illustrated by canonical and Legendre transformation, the generalization to quantum mechanics through Poisson brackets and all relevant variational principles. Finally, the Hamilton-Jacobi theory and the transition to wave mechanics are presented in detail.

Ideally suited to undergraduate students with some grounding in classical mechanics, the book is enhanced throughout with learning features such as boxed inserts and chapter summaries, with key mathematical derivations highlighted to aid understanding.  The text is supported by numerous worked examples and end of chapter problem sets. 

About the Theoretical Physics series

Translated from the renowned and highly successful German editions, the eight volumes of this series cover the complete core curriculum of theoretical physics at undergraduate level. Each volume is self-contained and provides all the material necessary for the individual course topic. Numerous problems with detailed solutions support a deeper understanding.  Wolfgang Nolting is famous for his refined didactical style and has been referred to as the "German Feynman" in reviews.

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