Introduction to Analytical Dynamics : Revised Edition. Preface to the New edition.

Woodhouse, Nicholas:

ISBN 10: 1848828152 / ISBN 13: 9781848828155

Published by Guildford, Surrey : Springer London, 2009

About this Item

XIV, 247 Seiten. Mit zahlreichen graphischen Darstellungen ; 235 mm x 155 mm FRISCHES, SEHR schönes Exemplar der REVIDIERTEN Ausgabe. We offer a lot of books on PHYSICS and MATHEMATICS on stock in EXCELLENT shape). Sprache: Englisch Gewicht in Gramm: 395.

Seller Inventory # 297464

Bibliographic Details

• Title: Introduction to Analytical Dynamics : Revised Edition. Preface to the New edition.
• Publisher: Guildford, Surrey : Springer London
• Publication Date: 2009
• Language: English
• ISBN 10: 1848828152
• ISBN 13: 9781848828155
• Binding: Originalbroschur.
• Edition: 1st Edition
• Condition: Wie neu
• Seller catalogs:
  • Mathematik

About this title

Synopsis

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.

From the Back Cover

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.