LEADER 00000nam a22003738i 4500 001 CR9781139021029 003 UkCbUP 005 20180406151107.0 006 m|||||o||d|||||||| 007 cr|||||||||||| 008 110217s2017||||enk o ||1 0|eng|d 020 9781139021029|q(ebook) 020 |z9780521869027|q(hardback) 040 UkCbUP|beng|erda|cUkCbUP 050 00 QA871|b.R65 2017 082 00 530.1|223 100 1 Rojo, Alberto G., 245 14 The principle of least action :|bhistory and physics / |cAlberto Rojo, Oakland University, Michigan, Anthony Bloch, University of Michigan. 264 1 Cambridge :|bCambridge University Press,|c2017. 300 1 online resource (xi, 255 pages) :|bdigital, PDF file(s). 336 text|btxt|2rdacontent 337 computer|bc|2rdamedia 338 online resource|bcr|2rdacarrier 500 Title from publisher's bibliographic system (viewed on 05 Apr 2018). 505 0 Prehistory of variational principles -- An excursio to Newton's Principia -- The optical-mechanical analogy, Part I: D'Alembert, Lagrange, and the statics-dynamics analogy -- The optical mechanical analogy, Part II: the Hamilton- Jacobi equation -- Relativity and least action -- The road to quantum mechanics. 520 The principle of least action originates in the idea that, if nature has a purpose, it should follow a minimum or critical path. This simple principle, and its variants and generalizations, applies to optics, mechanics, electromagnetism, relativity, and quantum mechanics, and provides an essential guide to understanding the beauty of physics. This unique text provides an accessible introduction to the action principle across these various fields of physics, and examines its history and fundamental role in science. It includes - with varying levels of mathematical sophistication - explanations from historical sources, discussion of classic papers, and original worked examples. The result is a story that is understandable to those with a modest mathematical background, as well as to researchers and students in physics and the history of physics. 650 0 Least action. 650 0 Variational principles. 650 0 Mechanics. 650 0 Lagrange equations. 650 0 Hamilton-Jacobi equations. 700 1 Bloch, Anthony,|d1955- 856 40 |uhttps://doi.org/10.1017/9781139021029 936 CambEBA2018/19