Essentials of Hamiltonian dynamics / John H. Lowenstein.
By: Lowenstein, John H.
New York : Cambridge University Press, 2012Description: xiii, 188 p. : ill. ; 26 cm.ISBN: 9781107005204 (hardback).Subject(s): Hamiltonian systems | Dynamics | SCIENCE / PhysicsGenre/Form: Print books.Current location | Call number | Status | Date due | Barcode | Item holds |
---|---|---|---|---|---|
On Shelf | QA614.83 .L69 2012 (Browse shelf) | Available | AU0000000009258 |
Browsing Alfaisal University Shelves , Shelving location: On Shelf Close shelf browser
QA612 .B74 1993 Topology and geometry / | QA612.14 .G455 2013 Geometry and topology down under : a conference in honour of Hyam Rubinstein, July 11-22, 2011, The University of Melbourne, Parkville, Australia / | QA613.6 .G84 2010 Differential topology / | QA614.83 .L69 2012 Essentials of Hamiltonian dynamics / | QA614.86 .F795 2016 Fractal worlds : grown, built, and imagined / | QA641 .G76 2010 Partial differential relations / | QA641 .Y38 2019 The shape of a life : one mathematician's search for the universe's hidden geometry / |
Includes bibliographical references and index.
Machine 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.
"Classical 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"--