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Introduction to Analytical Dynamics (Springer Undergraduate MathematicsSeries) 4.0%OFF

Introduction to Analytical Dynamics (Springer Undergraduate MathematicsSeries)

by Nicholas Woodhouse

  • ISBN

    :  

    9781848828155

  • Publisher

    :  

    Springer

  • Subject

    :  

    Physics, Mathematics, Technology, Engineering, Agriculture

  • Binding

    :  

    PAPERBACK

  • Pages

    :  

    253

  • Year

    :  

    2009

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4261.0

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4090.0

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  • Description

    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 Newtonx2019;s laws through Lagrangex2019;s equations and Hamiltonx2019;s principle, to Hamiltonx2019;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 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 x2013; with solutions x2013; are provided to help test understanding.

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