E Book

Analytical Dynamics



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.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.


Ketersediaan

Tidak ada salinan data


Informasi Detil

Judul Seri
-
No. Panggil
-
Penerbit Springer : Boston, MA.,
Deskripsi Fisik
XVI, 340 p.online resource.
Bahasa
English
ISBN/ISSN
9780306486821
Klasifikasi
620
Tipe Isi
-
Tipe Media
-
Tipe Pembawa
-
Edisi
1st ed.
Subyek
Info Detil Spesifik
-
Pernyataan Tanggungjawab

Informasi Lainnya

Anak judul
Theory and Applications
Judul asli
-
DOI/URL
https://doi.org/10.1007/b116020

Versi lain/terkait

Tidak tersedia versi lain




Informasi


DETAIL CANTUMAN


Kembali ke sebelumnyaDetail XMLCite this