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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. 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.Read more
- Covers all the topics essential to a graduate-level course in dynamics based on Hamiltonian methods, including an introduction to KAM theory and deterministic chaos
- Numerous concrete examples to illustrate key principles and methods
- A special feature of the book is the use of Mathematica® (or equivalent software) to help students investigate complex dynamical systems, both analytically and numerically
- Well suited to a one-semester course, but is easily adapted to a more concentrated format of one quarter or trimester
Reviews & endorsements
"Lowenstein's book is a short but far-reaching introduction to nonlinear dynamics that will particularly appeal to physicists. The cleverly chosen examples are a particular feature. An appendix includes some Mathematica code fragments that would enable most students' quick access to numerical investigations, something that is absolutely essential in a nonlinear dynamics course."
Gerard Milburn for Contemporary PhysicsSee more reviews
"This book provides a shortcut to many amazing and useful applications of this fascinating subject. I have no doubt that many instructors and students will benefit from this text."
Anton Gorodetski, University of California, Irvine for Physics Today
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- Date Published: March 2012
- format: Hardback
- isbn: 9781107005204
- length: 212 pages
- dimensions: 253 x 180 x 15 mm
- weight: 0.57kg
- contains: 96 b/w illus. 70 exercises
- availability: In stock
Table of Contents
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
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