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Paperback. Pub Date: November 1999 Pages: 516 in Publisher: On World Publishing Company Many different mathematical methods and concepts' are used in classical mechanics: differential equations and phase flows smooth mappings and manifolds. Lie groups and Lie algeas of.. symplectic geometry and ergodic theory. Many modern mathematical theories arose from problems in mechanics and only later acquired that axiomatic-abstract form which makes them so hard to study. Contents: PrefacePreface to the second editionPart I NEWTONIAN MECHANICSChapter 1 Experimental facts1. The principles of relativity and determinacy2. The galilean group and Newton's equations3. Examples of mechanical systemsChapter 2 Investigation of the equations of motion4. Systems with one degree of freedom5. Systems with two degrees of freedom6. Conservative force fields7. Angular momentum8. Investigation of moti...
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