First published in 1987, this text offers concise but clear explanations and derivations to give readers a confident grasp of the chain of argument that leads from Newton’s laws through Lagrange’s equations and Hamilton’s principle, to Hamilton’s equations and canonical transformations. This new edition has been extensively revised and updated to include: A chapter on symplectic geometry and the geometric interpretation of some of the coordinate calculations. A more systematic treatment of the conections with the phase-plane analysis of ODEs; and an improved treatment of Euler angles. A greater emphasis on the linksto special relativity and quantum theory showing how ideas from this classical subject link into contemporary areas of mathematics and theoretical physics.A wealth of examples show the subject in action and a range of exercises – with solutions – are provided to help test understanding. " A new edition of a classic text, extensively revised and updated in order to simplify the presentation and offer a more modern outlook, showing how ideas from classical mechanics link with contemporary research. Aims to give readers a confident grasp of the material by confronting, rather than evading, common notational and pedagogical difficulties encountered on the journey from Newton to Lagrange and Hamilton. INDICE: Frames of Reference.- One Degree of Freedom.- Lagrangian Mechanics.- Noether's Theorem.- Rigid Bodies.- Oscillations.- Hamiltonian mechanics.- Geometry of Classical Mechanics.- Epilogue: Relativity and Quantum Theory.- Notes on Exercises.
- ISBN: 978-1-84882-815-5
- Editorial: Springer
- Encuadernacion: Rústica
- Páginas: 247
- Fecha Publicación: 01/11/2009
- Nº Volúmenes: 1
- Idioma: Inglés