Overview

Beginning with the formula used to derive Euler dynamical equations, this monograph discusses Eulerian, Lagrangian and Hamiltonian approaches to generalized motion on rigid body in sequential chapters, emphasizing how one approach was extended and simplified by others. The last chapter covers canonical transformations from one phase space to another and invariance of certain properties including Poisson beackerts. Key features include: a large number of problems; miscellaneous exercises; and a glossary.

Full Product Details

Author:   Naveen Kumar
Publisher:   Alpha Science International Ltd
Imprint:   Alpha Science International Ltd
ISBN:  

9781842651605

ISBN 10:   1842651609
Pages:   166
Publication Date:   30 January 2004
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Available To Order  
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.

Table of Contents

Chapter One - Motion in a Rotating Frame of Referenes: Rotation of a vector in two and three dimensional frames Velocity and Acceleration components in two dimensional polar and intrinsic coordinates Motion of a particle in two and three dimensional rotating frames Effect of the Earth rotation on particle's motion Effect of Coriolis force on some natural events like river, cyclones, trade winds Motion of Rigid Body in rotating frame Chapter Two: Eulerian Approach to Motion of Rigid Body about a Fixed Point: Kinetic Energy, Angular momentum of a Rotating Body Euler's dynamical equations of motion Euler's geometrical equations of motion 10 solved questions preceeded by some standard results Chapter Three: Lagrangian Approach to Rigid Body Motion: Lagrangian Approach being single approach to Linear and Rotational motion both Generalised coordinates, momenta and forces Lagrange equations of constrained motion for finite forces Energy equation Verification of ten known dynamic problems Solutions of 7 unsolved questions of Dynamics II - Ramsay Lagrange Equation of motion for impulses Solutions of 4 unsolved questions of Dynamics II - Ramsay Smal oscillations with solutions of 8 unsolved questions from Dynamics II - Ramsay Chapter Four: Hamiltonian Approach to Rigid Body Motion: Hamilton's equations of motion Verifications of 10 known dynamic problems Hamilton principle and principle of least Action Hamilton Jacobi Equation of Motion Hamilton Jacobi Theorem and its Verification for Known results of Projectile and Central Orbit Chapter Five: Cononical Transformations and Pioson's Bracket: The condition for a transformations to be Canonical Generating Function and Symmetric Relations Phase space and Elementary Volume and its Invariance under CT CTs as a Group Poisson Bracket and its properties First and second theorems of Poisson's Bracket LIOUVILLE's theorem Inveriance of Poisson's Bracket under Canonical Transformations Ten solved problems on Canonical transformations

Reviews

Author Information

N Kumar.: Department of Mathematics, Banaras Hindu University Varanasi, India

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions