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Foundational Mechanics: Newton's laws, kinetic theory, and mechanics of single particles. I understand you're looking for a deep story
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Mathematical Physics with Classical Mechanics by Satya Prakash
While many students look for a Satya Prakash Mathematical Physics PDF for convenience, owning a physical copy is often recommended for a subject this intensive. The ability to annotate margins and flip between the mathematical appendices and the mechanics chapters is invaluable during late-night study sessions.