Introduction to Analytical Dynamics (Springer Undergraduate Mathematics Series)

Woodhouse, Nicholas

ISBN 10: 1848828152 / ISBN 13: 9781848828155

Verlag: Springer, 2010

Beschreibung

Bestandsnummer des Verkäufers ABLIING23Mar2912160250374

Bibliografische Details

Titel: Introduction to Analytical Dynamics (...

Verlag: Springer

Erscheinungsdatum: 2010

Einband: Softcover

Zustand: New

Auflage: 2. Auflage

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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 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 – with solutions – are provided to help test understanding.

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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 Newtons laws through Lagranges equations and Hamiltons principle, to Hamiltons 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 Schrödingers 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.