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Titlebook: Constructing the Edifice of Mechanics; From Newton to Moder M.A. Curt Koenders Textbook 2023 The Editor(s) (if applicable) and The Author(s

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Mechanics Using Integral Principles,obi equations are derived as yet another alternative to obtaining the equations of motion. This piece of physics leads to a way of obtaining useful conserved quantities. Examples of the Hamilton-Jacobi equations are given and a new insight in the propagation of light is acquired, which leads to an understanding of the wave-particle duality.
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Zusammenfassung der Ergebnisse,tion are treated. The treatment is restricted to point masses. The stability of motion is illustrated using the Lyapunov function and the concept of damping is analysed for the example of the harmonic oscillator. An introduction to the subject of colliding bodies is given and finally the mechanics of disintegrating bodies is studied.
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Special Relativity Theory,les are expounded. An accelerated system is analysed, which shows the concept of an ‘event horizon’. Electromagnetic theory in the context of relativity theory and its relation to Maxwell’s equations the continuity equation is treated. A number of examples are given, one of which is the resulting solution for light waves.
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,Two-Body Problem and the Solar System,are provided. The escape velocity is treated; the consequences of this for the presence of gases on planets and their moons are analysed. The perturbation of the planetary orbits due to the presence of nearby other planets is calculated. A brief analysis of Lagrange points and their stability is presented.
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Elements of Quantum Mechanics,uced and an operator algebra on ket vectors is put forward. A long section on quantum measurement is presented in order to understand better how different quantum mechanics is from classical mechanics. This culminates in a discussion of the violation of the Bell inequalities.
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Newtonian Mechanics,tion are treated. The treatment is restricted to point masses. The stability of motion is illustrated using the Lyapunov function and the concept of damping is analysed for the example of the harmonic oscillator. An introduction to the subject of colliding bodies is given and finally the mechanics of disintegrating bodies is studied.
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