000 02624nam a22004098i 4500
001 CR9781107337572
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006 m|||||o||d||||||||
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008 141103s2014||||enk o ||1 0|eng|d
020 _a9781107337572 (ebook)
020 _z9781107042889 (hardback)
020 _z9781107617520 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA805
_b.H24 2014
082 0 0 _a515/.39
_223
100 1 _aHamill, Patrick,
_eauthor.
245 1 2 _aA student's guide to Lagrangians and Hamiltonians /
_cPatrick Hamill, San Jose State University.
246 3 _aA Student's Guide to Lagrangians & Hamiltonians
264 1 _aCambridge :
_bCambridge University Press,
_c2014.
300 _a1 online resource (x, 173 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _aFundamental concepts -- The calculus of variations -- Langrangian dynamics -- Hamilton's equations -- Canonical transformations; poisson brackets -- Hamilton-Jacobi theory -- Continuous systems.
520 _aA concise but rigorous treatment of variational techniques, focussing primarily on Lagrangian and Hamiltonian systems, this book is ideal for physics, engineering and mathematics students. The book begins by applying Lagrange's equations to a number of mechanical systems. It introduces the concepts of generalized coordinates and generalized momentum. Following this the book turns to the calculus of variations to derive the Euler-Lagrange equations. It introduces Hamilton's principle and uses this throughout the book to derive further results. The Hamiltonian, Hamilton's equations, canonical transformations, Poisson brackets and Hamilton-Jacobi theory are considered next. The book concludes by discussing continuous Lagrangians and Hamiltonians and how they are related to field theory. Written in clear, simple language and featuring numerous worked examples and exercises to help students master the material, this book is a valuable supplement to courses in mechanics.
650 0 _aMechanics, Analytic
_vTextbooks.
650 0 _aLagrangian functions
_vTextbooks.
650 0 _aHamiltonian systems
_vTextbooks.
776 0 8 _iPrint version:
_z9781107042889
856 4 0 _uhttps://doi.org/10.1017/CBO9781107337572
907 _a.b16848950
_b2020-12-22
_c2020-12-22
942 _n0
998 _a1
_b2020-12-22
_cm
_da
_feng
_genk
_y0
_z.b16848950
999 _c652238
_d652238