The Key to Newton's Dynamics
by J. Bruce Brackenridge
Publisher: University of California Press 1996
Number of pages: 330
The book clearly explains the surprisingly simple analytical structure that underlies the determination of the force necessary to maintain ideal planetary motion. J. Bruce Brackenridge sets the problem in historical and conceptual perspective, showing the physicist's debt to the works of both Descartes and Galileo. He tracks Newton's work on the Kepler problem from its early stages at Cambridge before 1669, through the revival of his interest ten years later, to its fruition in the first three sections of the first edition of the Principia.
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by Ervin S. Ferry - John Wiley & Sons
A rigorous theoretical and mathematical description of the motion of spinning bodies and practical applications where their gyroscopic properties are used. The book goes into great detail on the theory, design and implementation of applications.
by Martin Scholtz - Charles University
Contents: Classical mechanics; Lagrange equations; Hamilton's equations; Variational principle; Hamilton-Jacobi equation; Electromagnetic field; Discrete dynamical systems and fractals; Dynamical systems; Bifurcations; Commands in Mathematica.
by E. T. Whittaker - Cambridge University Press
Analytical dynamics studies the motions of material bodies due to the mutual interactions with the aid of mathematical analysis. Here is a famous book on mathematical mechanics, a comprehensive account of the classical results of analytical dynamics.
by David Tong - University of Cambridge
We shall describe the advances that took place after Newton when the laws of motion were reformulated using more powerful techniques and ideas developed by some of the giants of mathematical physics: Euler, Lagrange, Hamilton and Jacobi.