浅析高斯公式在物理中的应用

A Brief Analysis of the Application of Gauss’s Formula in Physics

摘要: 本文运用高斯公式证明了物理学中著名的阿基米德浮力定律，其中用到了数学建模思想和微元分析法，旨在为初学者提供一个清晰、详尽的范例，展示如何运用微积分工具解决经典物理问题，希望读者通过阅读本文可以进一步加深对高斯公式背后的物理思想和数学技巧的认识，提升模型构建能力和实际应用能力。

Abstract: This paper uses Gauss’s formula to prove Archimedes’ law of buoyancy in physics. Mathematical modeling and infinitesimal analysis are employed, aiming to provide beginners with a clear and detailed example demonstrating how to use calculus to solve classic physics problems. It is hoped that readers will gain a deeper understanding of the physical ideas and mathematical techniques behind Gauss’s formula, and improve their model-building and practical application abilities.