{"product_id":"introduction-to-analytical-dynamics-9781848828155","title":"Introduction to Analytical Dynamics","description":"\u003cp\u003e • Author(s): Nicholas Woodhouse\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Mechanics - Dynamics\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eAnalytical 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.\u003c\/p\u003e \u003cp\u003eFirst 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.\u003c\/p\u003e \u003cp\u003eThis new edition has been extensively revised and updated to include: \u003c\/p\u003e \u003cul\u003e \u003cp\u003e \u003c\/p\u003e\n\u003cli\u003eA chapter on symplectic geometry and the geometric interpretation of some of the coordinate calculations. \u003c\/li\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e\n\u003cli\u003eA more systematic treatment of the conections with the phase-plane analysis of ODEs; and an improved treatment of Euler angles. \u003c\/li\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e\n\u003cli\u003eA 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. \u003c\/li\u003e\n\u003c\/ul\u003e \u003cp\u003eAimed 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. \u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45274228228247,"sku":"9781848828155","price":2544.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781848828155.webp?v=1769279286","url":"https:\/\/atlanticbooks.com\/products\/introduction-to-analytical-dynamics-9781848828155","provider":"Atlantic Books","version":"1.0","type":"link"}