Global Formulations of Lagrangian and Hamiltonian Dynamics on Manifolds: A Geometric Approach to Modeling and Analysis

Author:   Taeyoung Lee ,  Melvin Leok ,  N. Harris McClamroch
Publisher:   Springer International Publishing AG
Edition:   1st ed. 2018
ISBN:  

9783319569512


Pages:   539
Publication Date:   24 August 2017
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Global Formulations of Lagrangian and Hamiltonian Dynamics on Manifolds: A Geometric Approach to Modeling and Analysis


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Author:   Taeyoung Lee ,  Melvin Leok ,  N. Harris McClamroch
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   1st ed. 2018
Weight:   8.482kg
ISBN:  

9783319569512


ISBN 10:   3319569511
Pages:   539
Publication Date:   24 August 2017
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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Reviews

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 Mari a, 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 Crasmareanu, 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)


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)


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 Crasmareanu, 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)


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