Global Formulations of Lagrangian and Hamiltonian Dynamics on Manifolds by Taeyoung Lee

Global Formulations of Lagrangian and Hamiltonian Dynamics on Manifolds by Taeyoung Lee

This book provides an accessible introduction to the variational formulation of Lagrangian and Hamiltonian mechanics, with a novel emphasis on global descriptions of the dynamics, which is a significant conceptual departure from more traditional approaches based on the use of local coordinates on the configuration manifold.

“This book presents a monograph on foundational geometric principles of Lagrangian and Hamiltonian dynamics and their application in studying important physical systems… Throughout the book numerous examples of Lagrangian and Hamiltonian systems are included … . It is very clearly written and it will be especially useful both for beginning researchers and for graduate students in applied mathematics, physics, or engineering.” ( M. Eugenia Rosado María, Mathematical Reviews, May, 2018)

“The starting point of this impressive textbook is the important fact that there are remarkable situations where the variables that describe a dynamical system do not lie in a vector space (i.e., a simple at algebraic structure) but rather lie in a geometrical setting allowing the differential calculus, namely a differential manifold. … In conclusion, this book is extremely useful for each reader who wishes to develop a modern knowledge of analytical mechanics.” (Mircea Crâşmăreanu, zbMATH 1381.70005, 2018)

“This well-written and expansive book is ambitious in its scope in that it aims at sound and thorough pedagogy as far as its subject matter is concerned, and it also aims at preparing the reader for computational work … . There are many good examples accompanying or even guiding the text, as well as extensive problem sets for the properly serious student. This book … prove very valuable to its readership, be they mathematicians, engineers, or physicists.” (Michael Berg, MAA Reviews, November, 2017)

SKU	Unavailable
ISBN 13	9783319569512
ISBN 10	3319569511
Title	Global Formulations of Lagrangian and Hamiltonian Dynamics on Manifolds
Author	Taeyoung Lee
Series	Interaction Of Mechanics And Mathematics
Condition	Unavailable
Binding Type	Paperback
Publisher	Springer International Publishing AG
Year published	2017-08-24
Number of pages	539
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.