Analytical Dynamics

Theory and Applications

By: Mark D. Ardema

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Hardcover | 16 November 2004

At a Glance

Hardcover
360 Pages

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25.4 x 17.15 x 2.54

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In his great work, Mecanique Analytique (1788)- Lagrange used the term "analytical" to mean "non-geometrical." Indeed, Lagrange made the following boast: "No diagrams will be found in this work. The methods that I explain in it require neither constructions nor geometrical or mechanical arguments, but only the algebraic operations inherent to a regular and uniform process. Those who love Analysis will, with joy, see mechanics become a new branch of it and will be grateful to me for thus having extended its field." This was in marked contrast to Newton's Philosohiae Naturalis Principia Mathematica (1687) which is full of elaborate geometrical constructions. It has been remarked that the classical Greeks would have understood some of the Principia but none of the Mecanique Analytique. The term analytical dynamics has now come to mean the develop- ments in dynamics from just after Newton to just before the advent of relativity theory and quantum mechanics, and it is this meaning of the term that is meant here. Frequent use will be made of diagrams to illus- trate the theory and its applications, although it will be noted that as the book progresses and the material gets "more analytical", the number of figures per chapter tends to decrease, although not monotonically.

Industry Reviews

From the reviews of the first edition:

"The book takes a classical approach to the development of the methods of analytical dynamics. ... the book contains a large number of examples ... and most of them are quite instructive. Many examples are worked out in full detail in the text, and an even greater number of additional examples is given in the form of problems (without solutions). ... People who teach mechanics courses may find this collection of examples quite useful." (Volker Perlick, Zentralblatt MATH, Vol. 1087 (13), 2006)

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You Can Find This Book In

Non-Fiction Engineering & Technology Mechanical Engineering & Materials Mechanical Engineering Materials Science Technology in General Engineering in General Science Physics Classical Mathematics Mechanics of Solids Dynamics & Vibration

Review of Newtonian dynamics	p. 1
Motion and constraints	p. 47
Virtual displacement and virtual work	p. 65
Variational principles	p. 83
Generalized coordinates	p. 101
Lagrange's equations	p. 109
Formulation of equations	p. 131
Integration of equations	p. 149
Examples	p. 165
Central force motion	p. 179
Gyroscopic motion	p. 189
Stability of motion	p. 205
Impulsive motion	p. 225
Gibbs-Appell equations	p. 245
Hamilton's equations	p. 261
Contact transformations	p. 281
Hamilton-Jacobi equation	p. 297
Approximation methods	p. 319
Table of Contents provided by Blackwell. All Rights Reserved.

Analytical Dynamics

Theory and Applications

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

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