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In this chapter, the basic and advanced problems of gradient, divergence, curl, and Laplacian operators are studied. The subjects include the gradient of a scalar, divergence of a vector, curl of a vector, and Laplacian of a scalar in the cartesian, cylindrical, and spherical coordinate systems. Herein, different types of problems and exercises are presented that are categorized as follows.

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Gradient, Divergence, Curl, and Laplacian: Part A

  • 章节

  • 发表日期：

    2025年

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  • Mehdi Rahmani-Andebili

摘要

In this chapter, the basic and advanced problems of gradient, divergence, curl, and Laplacian operators are studied. The subjects include the gradient of a scalar, divergence of a vector, curl of a vector, and Laplacian of a scalar in the cartesian, cylindrical, and spherical coordinate systems. Herein, different types of problems and exercises are presented that are categorized as follows.