Mark D. Ardema: Analytical Dynamics

Cover: 9780306486814 | Analytical Dynamics | Theory and Applications | Mark D. Ardema | Buch

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Sprache: Englisch

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Beschreibung

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.

Zusammenfassung

Includes supplementary material: [...]

Inhaltsverzeichnis

Review of Newtonian Dynamics.- Motion and Constraints.- Virtual Displacement and Virtual Work.- Variational Principles.- Generalized Coordinates.- Lagrange's Equations.- Formulation of Equations.- Integration of Equations.- Examples.- Central Force Motion.- Gyroscopic Motion.- Stability Of Motion.- Impulsive Motion.- Gibbs-Appell Equations.- Hamilton's Equations.- Contact Transformations.- Hamilton-Jacobi Equation.- Approximation Methods.

Erscheinungsjahr:	2004
Fachbereich:	Fertigungstechnik
Genre:	Importe , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	xvi 340 S.
ISBN-13:	9780306486814
ISBN-10:	0306486814
Sprache:	Englisch
Einband:	Gebunden
Autor:	Ardema, Mark D.
Hersteller:	Springer US Springer New York
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	260 x 183 x 24 mm
Von/Mit:	Mark D. Ardema
Erscheinungsdatum:	16.11.2004
Gewicht:	0,874 kg

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