Introduction to Analytical Dynamics (Springer Undergraduate Mathematics Series)




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Plot : From the reviews of the second edition:x201CIt is designed to teach analytical mechanics to second and third year undergraduates in the UK, and probably to third or fourth year undergraduates in the US. x2026 This book offers a very attractive traditional introduction to the subject. x2026 the author is well tuned to the difficulties even strong students encounter. x2026 discusses the relevance of classical mechanics in modern physics, especially to relativity and quantum mechanics. This is a fine textbook. It would be a pleasure to teach or to learn from it.x201D (William J. Satzer, The Mathematical Association of America, March, 2010) Analytical dynamics forms an important part of any undergraduate programme in applied mathematics and physics: it develops intuition about threedimensional 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 Newtonx2019s laws through Lagrangex2019s equations and Hamiltonx2019s principle, to Hamiltonx2019s 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 phaseplane 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 SchrxF6dingerx2019s equation to HamiltonJacobi theory, showing how ideas from this classical subject link into contemporary areas of mathematics and theoretical physics. Aimed at second and thirdyear 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 x2013 with solutions x2013 are provided to help test understanding.



Author(s) Book :Nicholas Woodhouse
E-Book Categories :Physics; Mathematical Physics; Mechanics; Mechanical Engineering; Mechanics
Publish Year :2009 Publisher : Springer
You can check by ISBN10: 1848828152; ISBN13: 9781848828155
Pages :240

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