Normal view MARC view ISBD view

Essentials of Hamiltonian dynamics / John H. Lowenstein.

By: Lowenstein, John H, 1941-.
Material type: TextTextPublisher: Cambridge ; New York : Cambridge University Press, 2012Description: xiii, 188 p. : PDS 34.99 ill. ; 26 cm.ISBN: 9781107005204 (hardback).Subject(s): Hamiltonian systems | Dynamics | SCIENCE / PhysicsDDC classification: 531/.11 Other classification: SCI055000 Online resources: Cover image
Contents:
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.
Summary: "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"-- Provided by publisher.
List(s) this item appears in: 2019-10-03
Item type Current location Call number Status Date due Barcode Item holds
Book Chennai Mathematical Institute
General Stacks
531.11 LOW (Browse shelf) Checked out 08/07/2021 10728
Total holds: 0

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"-- Provided by publisher.