This note unpacks how tiny changes transform across coordinates using the Jacobian matrix--from displacement to area to volume, in Cartesian, cylindrical, and spherical systems.

Sources:

  1. Fawwaz Ulaby. (2020). Chapter 3: Vector Analysis. Fundamentals of applied electromagnetics (8rd ed., pp. 130–163). Pearson.
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Sources:

  • Fawwaz T. Ulaby & Umberto Ravaioli. (2020). Chapter 1. Introduction: Waves and Phasors. Fundamentals of Applied Electromagnetics (8th ed., pp. 22-30). Pearson.
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【清】袁枚

莫唱当年长恨歌,人间亦自有银河。

石壕村里夫妻别,泪比长生殿上多。

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