---

＜電子ブック＞
Introduction to Analytical Dynamics / by Nicholas Woodhouse
(Springer Undergraduate Mathematics Series. ISSN:21974144)

版	2nd ed. 2009.
出版者	(London : Springer London : Imprint: Springer)
出版年	2009
本文言語	英語
大きさ	XIII, 240 p. 42 illus : online resource
著者標目	*Woodhouse, Nicholas author SpringerLink (Online service)
件　名	LCSH:Mathematical physics LCSH:Physics LCSH:Mechanics LCSH:Mathematics LCSH:Mechanics, Applied FREE:Theoretical, Mathematical and Computational Physics FREE:Classical and Continuum Physics FREE:Classical Mechanics FREE:Applications of Mathematics FREE:Engineering Mechanics
一般注記	Frames of Reference -- One Degree of Freedom -- Lagrangian Mechanics -- Noether#x2019;s Theorem -- Rigid Bodies -- Oscillations -- Hamiltonian Mechanics -- Geometry of Classical Mechanics -- Epilogue: Relativity and Quantum Theory Analytical dynamics forms an important part of any undergraduate programme in applied mathematics and physics: it develops intuition about three-dimensional space and provides invaluable practice in problem solving. First published in 1987, this text is an introduction to the core ideas. It 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 links to special relativity and quantum theory, e.g., linking Schrödinger’s equation to Hamilton-Jacobi theory, showing how ideas from this classical subject link into contemporary areas of mathematics and theoretical physics. Aimed at second- and third-year undergraduates, the book assumes some familiarity with elementary linear algebra, the chain rule for partial derivatives, and vector mechanics in three dimensions, although the latter is not essential. A wealth of examples show the subject in action and a range of exercises – with solutions – are provided to help test understanding HTTP:URL=https://doi.org/10.1007/978-1-84882-816-2

 類似資料