000 01741 a2200193 4500
020 _a9781107005204
040 _cIITK
041 _aeng
082 _a531.11
_bL951e
100 _aLowenstein, John H.
245 _aEssentials of Hamiltonian dynamics
_cJohn H. Lowenstein
260 _bCambridge University Press
_c2012
_aCambridge
300 _axiii, 188p
505 _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.
520 _a.
650 _aHamiltonian systems
650 _aDynamics
942 _cBK
999 _c558248
_d558248