Download Fundamental Principles of Classical Mechanics:A Geometrical by Kai S Lam PDF

By Kai S Lam

This publication is written with the assumption that classical mechanics, as a theoretical self-discipline, possesses an inherent attractiveness, intensity, and richness that a long way transcends its fast purposes in mechanical structures. those houses are manifested, normally, during the coherence and style of the mathematical constitution underlying the self-discipline, and are eminently valuable of being communicated to physics scholars on the earliest level attainable. This quantity is hence addressed quite often to complex undergraduate and starting graduate physics scholars who're drawn to the appliance of contemporary mathematical tools in classical mechanics, particularly, these derived from the fields of topology and differential geometry, and in addition to the occasional arithmetic scholar who's attracted to very important physics functions of those components of arithmetic. Its major function is to supply an introductory and huge glimpse of the majestic edifice of the mathematical concept of classical dynamics, not just within the usual analytical culture of Newton, Laplace, Lagrange, Hamilton, Jacobi, and Whittaker, but additionally the extra topological/geometrical one proven by means of Poincare, and enriched through Birkhoff, Lyapunov, Smale, Siegel, Kolmogorov, Arnold, and Moser (as good as many others).Readership: complex undergraduate and starting graduate scholars in classical mechanics, mathematical physics and differential geometry.

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