000 02636nam a22003378i 4500
001 CR9780511793721
003 UkCbUP
005 20200124160251.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 100630s2012||||enk o ||1 0|eng|d
020 _a9780511793721 (ebook)
020 _z9781107005204 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA614.83
_b.L69 2012
082 0 0 _a531/.11
_223
100 1 _aLowenstein, John H.,
_d1941-
_eauthor.
245 1 0 _aEssentials of Hamiltonian dynamics /
_cJohn H. Lowenstein.
264 1 _aCambridge :
_bCambridge University Press,
_c2012.
300 _a1 online resource (xiii, 188 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 8 _aMachine generated contents note: 1. Fundamentals of classical dynamics; 2. Hamiltonian formalism; 3. Integrable systems; 4. Canonical perturbation theory; 5. Order and chaos in Hamiltonian systems; 6. The swing-spring; Appendix: Mathematica samples; Index.
520 _aClassical dynamics is one of the cornerstones of advanced education in physics and applied mathematics, with applications across engineering, chemistry and biology. In this book, the author uses a concise and pedagogical style to cover all the topics necessary for a graduate-level course in dynamics based on Hamiltonian methods. Readers are introduced to the impressive advances in the field during the second half of the twentieth century, including KAM theory and deterministic chaos. Essential to these developments are some exciting ideas from modern mathematics, which are introduced carefully and selectively. Core concepts and techniques are discussed, together with numerous concrete examples to illustrate key principles. A special feature of the book is the use of computer software to investigate complex dynamical systems, both analytically and numerically. This text is ideal for graduate students and advanced undergraduates who are already familiar with the Newtonian and Lagrangian treatments of classical mechanics. The book is well suited to a one-semester course, but is easily adapted to a more concentrated format of one-quarter or a trimester. A solutions manual and introduction to Mathematica® are available online at www.cambridge.org/Lowenstein.
650 0 _aHamiltonian systems.
650 0 _aDynamics.
776 0 8 _iPrint version:
_z9781107005204
856 4 0 _uhttps://doi.org/10.1017/CBO9780511793721
999 _c519511
_d519509