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In this chapter we discuss the mechanics of a finite collection of particles in space subject to forces. We use this simple situation as a vehicle to introduce Lagrangian and Hamiltonian mechanics with a few examples. We include and apply (and prove) Noether’s Theorem, a foundational result in modern physics and a capstone result of this book.

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Newton, Lagrange, Hamilton, Noether: A Very Brief Look at Classical Mechanics

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  • 发表日期：

    2025年

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  • Lawrence Susanka

摘要

In this chapter we discuss the mechanics of a finite collection of particles in space subject to forces. We use this simple situation as a vehicle to introduce Lagrangian and Hamiltonian mechanics with a few examples. We include and apply (and prove) Noether’s Theorem, a foundational result in modern physics and a capstone result of this book.