Essentials of Hamiltonian dynamics
By: Lowenstein, John H.
Publisher: Cambridge Cambridge University Press 2012Description: xiii, 188p.ISBN: 9781107005204.Subject(s): Hamiltonian systems | DynamicsDDC classification: 531.11 | L951eItem type | Current location | Collection | Call number | Status | Date due | Barcode | Item holds |
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Books | PK Kelkar Library, IIT Kanpur | General Stacks | 531.11 L951e (Browse shelf) | Available | A183345 |
Browsing PK Kelkar Library, IIT Kanpur Shelves , Collection code: General Stacks Close shelf browser
531.11 G913P Principles of dynamics | 531.11 H769T TIME REVERSIBILITY COMPUTER SIMULATION AND CHAOS | 531.11 J133p Perspectives of nonlinear dynamics | 531.11 L951e Essentials of Hamiltonian dynamics | 531.11 L973l Long-range interactions, stochasticity and fractional dynamics | 531.11 M128C CHAOS, DYNAMICS, AND FRACTALS | 531.11 M316d Dissipative structures and weak turbulence |
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.
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