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A treatise on the analytical dynamics of particles and rigid bodies : with an introduction to the problem of three bodies

Author: E T Whittaker
Publisher: Cambridge ; New York : Cambridge University Press, 1988.
Series: Cambridge mathematical library.
Edition/Format:   Print book : English : 4th edView all editions and formats
Summary:
This classic book is a encylopaedic and comprehensive account of the classical theory of analytical dynamics. The treatment is rigorous yet readable, starting from first principles with kinematics before moving to equations of motion and specific and explicit methods for solving them, with chapters devoted to particle dyanmics, rigid bodies, vibration, and dissipative systems. Hamilton's principle is introduced and  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: E T Whittaker
ISBN: 0521358833 9780521358835
OCLC Number: 19042711
Description: xvii, 456 pages : illustrations ; 23 cm.
Contents: Foreword / Sir William McCrea, FRS --
Kinematical Preliminaries --
The displacements of rigid bodies --
Euler's theorem on rotations about a point --
The theorem of Rodrigues and Hamilton --
The composition of equal and opposite rotations about parallel axes --
Chasles' theorem on the most general displacement of a rigid body --
Halphen's theorem on the composition of two general displacements --
Analytic representation of a displacement --
The composition of small rotations --
Euler's parametric specification of rotations round a point --
The Eulerian angles --
Connexion of the Eulerian angles with the parameters [small xi], [small eta], [small zeta], [small chi] --
The connexion of rotations with homographies: the Cayley-Klein parameters --
Vectors --
Velocity and acceleration; their vectorial character --
Angular velocity; its vectorial character --
Determination of the components of angular velocity of a system in terms of the Eulerian angles, and of the symmetrical parameters --
Time-flux of a vector whose components relative to moving axes are given --
Special resolutions of the velocity and acceleration --
The Equations of Motion --
The ideas of rest and motion --
The laws which determine motion --
Force --
Work --
Forces which do no work --
The coordinates of a dynamical system --
Holonomic and non-holonomic systems --
Lagrange's form of the equations of motion of a holonomic system --
Conservative forces; the kinetic potential --
The explicit form of Lagrange's equations.
Series Title: Cambridge mathematical library.
Responsibility: by E.T. Whittaker ; with a foreword by Sir William McCrea.
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Abstract:

An encylopaedic account of the classical theory of analytical dynamics. The book looks at principles with kinematics before moving to equations of motion and specific and explicit methods for solving  Read more...

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'The classical treatise on the subject of analytical dynamics - a work at once eminently readable, rigorously exact, and almost encyclopaedically comprehensive.' Science Progress 'It has become the Read more...

 
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